diff --git a/src/flp/szk.rs b/src/flp/szk.rs
index f39204b0..d353906f 100644
--- a/src/flp/szk.rs
+++ b/src/flp/szk.rs
@@ -303,13 +303,14 @@ where
 {
     /// The Type representing the specific FLP system used to prove validity of an input.
     pub(crate) typ: T,
+    id: [u8; 4],
     phantom: PhantomData<P>,
 }
 
 impl<T: Type> Szk<T, XofTurboShake128, 32> {
     /// Create an instance of [`Szk`] using [`XofTurboShake128`].
-    pub fn new_turboshake128(typ: T) -> Self {
-        Szk::new(typ)
+    pub fn new_turboshake128(typ: T, algorithm_id: u32) -> Self {
+        Self::new(typ, algorithm_id)
     }
 }
 
@@ -320,9 +321,10 @@ where
 {
     /// Construct an instance of this sharedZK proof system with the underlying
     /// FLP.
-    pub fn new(typ: T) -> Self {
+    pub fn new(typ: T, algorithm_id: u32) -> Self {
         Self {
             typ,
+            id: algorithm_id.to_le_bytes(),
             phantom: PhantomData,
         }
     }
@@ -332,7 +334,7 @@ where
     fn derive_prove_rand(&self, prove_rand_seed: &Seed<SEED_SIZE>, ctx: &[u8]) -> Vec<T::Field> {
         P::seed_stream(
             prove_rand_seed,
-            &[&mastic::dst_usage(mastic::USAGE_PROVE_RAND), ctx],
+            &[&mastic::dst_usage(mastic::USAGE_PROVE_RAND), &self.id, ctx],
             &[],
         )
         .into_field_vec(self.typ.prove_rand_len())
@@ -347,7 +349,11 @@ where
     ) -> Result<Seed<SEED_SIZE>, SzkError> {
         let mut xof = P::init(
             aggregator_blind.as_ref(),
-            &[&mastic::dst_usage(mastic::USAGE_JOINT_RAND_PART), ctx],
+            &[
+                &mastic::dst_usage(mastic::USAGE_JOINT_RAND_PART),
+                &self.id,
+                ctx,
+            ],
         );
         xof.update(nonce);
         // Encode measurement_share (currently an array of field elements) into
@@ -369,7 +375,11 @@ where
     ) -> Seed<SEED_SIZE> {
         let mut xof = P::init(
             &[0; SEED_SIZE],
-            &[&mastic::dst_usage(mastic::USAGE_JOINT_RAND_SEED), ctx],
+            &[
+                &mastic::dst_usage(mastic::USAGE_JOINT_RAND_SEED),
+                &self.id,
+                ctx,
+            ],
         );
         xof.update(&leader_joint_rand_part.0);
         xof.update(&helper_joint_rand_part.0);
@@ -386,7 +396,7 @@ where
             self.derive_joint_rand_seed(leader_joint_rand_part, helper_joint_rand_part, ctx);
         let joint_rand = P::seed_stream(
             &joint_rand_seed,
-            &[&mastic::dst_usage(mastic::USAGE_JOINT_RAND), ctx],
+            &[&mastic::dst_usage(mastic::USAGE_JOINT_RAND), &self.id, ctx],
             &[],
         )
         .into_field_vec(self.typ.joint_rand_len());
@@ -401,7 +411,7 @@ where
     ) -> Vec<T::Field> {
         Prng::from_seed_stream(P::seed_stream(
             proof_share_seed,
-            &[&mastic::dst_usage(USAGE_PROOF_SHARE), ctx],
+            &[&mastic::dst_usage(USAGE_PROOF_SHARE), &self.id, ctx],
             &[],
         ))
         .take(self.typ.proof_len())
@@ -417,7 +427,7 @@ where
     ) -> Vec<T::Field> {
         let mut xof = P::init(
             verify_key,
-            &[&mastic::dst_usage(mastic::USAGE_QUERY_RAND), ctx],
+            &[&mastic::dst_usage(mastic::USAGE_QUERY_RAND), &self.id, ctx],
         );
         xof.update(nonce);
         xof.update(&level.to_le_bytes());
@@ -701,7 +711,7 @@ mod tests {
         let ctx = b"some application context";
         let mut nonce = [0u8; 16];
         let mut verify_key = [0u8; 32];
-        let szk_typ = Szk::new_turboshake128(typ.clone());
+        let szk_typ = Szk::new_turboshake128(typ.clone(), 0);
         thread_rng().fill(&mut verify_key[..]);
         thread_rng().fill(&mut nonce[..]);
         let prove_rand_seed = Seed::generate().unwrap();
@@ -870,7 +880,7 @@ mod tests {
         thread_rng().fill(&mut nonce[..]);
         let sum = Sum::<Field128>::new(max_measurement).unwrap();
         let encoded_measurement = sum.encode_measurement(&9).unwrap();
-        let szk_typ = Szk::new_turboshake128(sum);
+        let szk_typ = Szk::new_turboshake128(sum, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = Some(Seed::generate().unwrap());
@@ -905,7 +915,7 @@ mod tests {
         let sumvec =
             SumVec::<Field128, ParallelSum<Field128, Mul<Field128>>>::new(5, 3, 3).unwrap();
         let encoded_measurement = sumvec.encode_measurement(&vec![1, 16, 0]).unwrap();
-        let szk_typ = Szk::new_turboshake128(sumvec);
+        let szk_typ = Szk::new_turboshake128(sumvec, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = Some(Seed::generate().unwrap());
@@ -939,7 +949,7 @@ mod tests {
         thread_rng().fill(&mut nonce[..]);
         let count = Count::<Field128>::new();
         let encoded_measurement = count.encode_measurement(&true).unwrap();
-        let szk_typ = Szk::new_turboshake128(count);
+        let szk_typ = Szk::new_turboshake128(count, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = Some(Seed::generate().unwrap());
@@ -974,7 +984,7 @@ mod tests {
         thread_rng().fill(&mut nonce[..]);
         let sum = Sum::<Field128>::new(max_measurement).unwrap();
         let encoded_measurement = sum.encode_measurement(&9).unwrap();
-        let szk_typ = Szk::new_turboshake128(sum);
+        let szk_typ = Szk::new_turboshake128(sum, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = None;
@@ -1015,7 +1025,7 @@ mod tests {
         thread_rng().fill(&mut nonce[..]);
         let sum = Sum::<Field128>::new(max_measurement).unwrap();
         let encoded_measurement = sum.encode_measurement(&9).unwrap();
-        let szk_typ = Szk::new_turboshake128(sum);
+        let szk_typ = Szk::new_turboshake128(sum, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = None;
@@ -1055,7 +1065,7 @@ mod tests {
         thread_rng().fill(&mut nonce[..]);
         let count = Count::<Field128>::new();
         let encoded_measurement = count.encode_measurement(&true).unwrap();
-        let szk_typ = Szk::new_turboshake128(count);
+        let szk_typ = Szk::new_turboshake128(count, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = None;
@@ -1095,7 +1105,7 @@ mod tests {
         thread_rng().fill(&mut nonce[..]);
         let count = Count::<Field128>::new();
         let encoded_measurement = count.encode_measurement(&true).unwrap();
-        let szk_typ = Szk::new_turboshake128(count);
+        let szk_typ = Szk::new_turboshake128(count, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = None;
@@ -1136,7 +1146,7 @@ mod tests {
         let sumvec =
             SumVec::<Field128, ParallelSum<Field128, Mul<Field128>>>::new(5, 3, 3).unwrap();
         let encoded_measurement = sumvec.encode_measurement(&vec![1, 16, 0]).unwrap();
-        let szk_typ = Szk::new_turboshake128(sumvec);
+        let szk_typ = Szk::new_turboshake128(sumvec, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = Some(Seed::generate().unwrap());
@@ -1177,7 +1187,7 @@ mod tests {
         let sumvec =
             SumVec::<Field128, ParallelSum<Field128, Mul<Field128>>>::new(5, 3, 3).unwrap();
         let encoded_measurement = sumvec.encode_measurement(&vec![1, 16, 0]).unwrap();
-        let szk_typ = Szk::new_turboshake128(sumvec);
+        let szk_typ = Szk::new_turboshake128(sumvec, 0);
         let prove_rand_seed = Seed::generate().unwrap();
         let helper_seed = Seed::generate().unwrap();
         let leader_seed_opt = Some(Seed::generate().unwrap());
diff --git a/src/vdaf/mastic.rs b/src/vdaf/mastic.rs
index 43af4d61..5ca414ba 100644
--- a/src/vdaf/mastic.rs
+++ b/src/vdaf/mastic.rs
@@ -41,8 +41,8 @@ const NONCE_SIZE: usize = 16;
 //                                      dst(b'', USAGE_ONEHOT_PROOF_INIT),
 //                                      b'').next(PROOF_SIZE)
 pub(crate) const ONEHOT_PROOF_INIT: [u8; 32] = [
-    186, 76, 128, 104, 116, 50, 149, 133, 2, 164, 82, 118, 128, 155, 163, 239, 117, 95, 162, 196,
-    173, 31, 244, 180, 171, 86, 176, 209, 12, 221, 28, 204,
+    253, 211, 45, 179, 139, 135, 183, 67, 202, 144, 13, 205, 241, 39, 165, 73, 232, 54, 57, 193,
+    106, 154, 133, 22, 15, 194, 223, 162, 79, 108, 60, 133,
 ];
 
 pub(crate) const USAGE_PROVE_RAND: u8 = 0;
@@ -58,8 +58,9 @@ pub(crate) const USAGE_EXTEND: u8 = 10;
 pub(crate) const USAGE_CONVERT: u8 = 11;
 pub(crate) const USAGE_PAYLOAD_CHECK: u8 = 12;
 
-pub(crate) fn dst_usage(usage: u8) -> [u8; 11] {
-    [b'm', b'a', b's', b't', b'i', b'c', 0, 0, 0, 0, usage]
+pub(crate) fn dst_usage(usage: u8) -> [u8; 8] {
+    const VERSION: u8 = 0;
+    [b'm', b'a', b's', b't', b'i', b'c', VERSION, usage]
 }
 
 /// The main struct implementing the Mastic VDAF.
@@ -71,7 +72,7 @@ where
     T: Type,
     P: Xof<SEED_SIZE>,
 {
-    algorithm_id: u32,
+    id: [u8; 4],
     pub(crate) szk: Szk<T, P, SEED_SIZE>,
     pub(crate) vidpf: Vidpf<VidpfWeight<T::Field>>,
     /// The length of the private attribute associated with any input.
@@ -86,9 +87,9 @@ where
     /// Creates a new instance of Mastic, with a specific attribute length and weight type.
     pub fn new(algorithm_id: u32, typ: T, bits: usize) -> Result<Self, VdafError> {
         let vidpf = Vidpf::new(bits, typ.input_len() + 1)?;
-        let szk = Szk::new(typ);
+        let szk = Szk::new(typ, algorithm_id);
         Ok(Self {
-            algorithm_id,
+            id: algorithm_id.to_le_bytes(),
             szk,
             vidpf,
             bits,
@@ -290,7 +291,7 @@ where
     type AggregateShare = MasticAggregateShare<T::Field>;
 
     fn algorithm_id(&self) -> u32 {
-        self.algorithm_id
+        u32::from_be_bytes(self.id)
     }
 
     fn num_aggregators(&self) -> usize {
@@ -360,6 +361,16 @@ where
         };
         Ok((public_share, vec![leader_share, helper_share]))
     }
+
+    fn hash_proof(&self, mut proof: VidpfProof, ctx: &[u8]) -> VidpfProof {
+        let mut xof = XofTurboShake128::from_seed_slice(
+            &[],
+            &[&dst_usage(USAGE_ONEHOT_PROOF_HASH), &self.id, ctx],
+        );
+        xof.update(&proof);
+        xof.into_seed_stream().fill_bytes(&mut proof);
+        proof
+    }
 }
 
 impl<T, P, const SEED_SIZE: usize> Client<16> for Mastic<T, P, SEED_SIZE>
@@ -591,8 +602,10 @@ where
 
         // Onehot and payload checks
         let (payload_check, onehot_proof) = {
-            let mut payload_check_xof =
-                P::init(&[0; SEED_SIZE], &[&dst_usage(USAGE_PAYLOAD_CHECK), ctx]);
+            let mut payload_check_xof = P::init(
+                &[0; SEED_SIZE],
+                &[&dst_usage(USAGE_PAYLOAD_CHECK), &self.id, ctx],
+            );
             let mut payload_check_buf = Vec::with_capacity(T::Field::ENCODED_SIZE);
             let mut onehot_proof = ONEHOT_PROOF_INIT;
 
@@ -604,7 +617,7 @@ where
                 // Update onehot proof.
                 onehot_proof = xor_proof(
                     onehot_proof,
-                    &hash_proof(xor_proof(onehot_proof, &node.value.state.node_proof), ctx),
+                    &self.hash_proof(xor_proof(onehot_proof, &node.value.state.node_proof), ctx),
                 );
 
                 // Update payload check.
@@ -645,7 +658,10 @@ where
         };
 
         let eval_proof = {
-            let mut eval_proof_xof = P::init(&[0; SEED_SIZE], &[&dst_usage(USAGE_EVAL_PROOF), ctx]);
+            let mut eval_proof_xof = P::init(
+                &[0; SEED_SIZE],
+                &[&dst_usage(USAGE_EVAL_PROOF), &self.id, ctx],
+            );
             eval_proof_xof.update(&onehot_proof);
             eval_proof_xof.update(&counter_check);
             eval_proof_xof.update(&payload_check);
@@ -831,14 +847,6 @@ where
     }
 }
 
-fn hash_proof(mut proof: VidpfProof, ctx: &[u8]) -> VidpfProof {
-    let mut xof =
-        XofTurboShake128::from_seed_slice(&[], &[&dst_usage(USAGE_ONEHOT_PROOF_HASH), ctx]);
-    xof.update(&proof);
-    xof.into_seed_stream().fill_bytes(&mut proof);
-    proof
-}
-
 #[cfg(test)]
 mod tests {
     use super::*;
diff --git a/src/vdaf/test_vec/mastic/04/MasticCount_0.json b/src/vdaf/test_vec/mastic/04/MasticCount_0.json
index 6921ea8e..b9d6156c 100644
--- a/src/vdaf/test_vec/mastic/04/MasticCount_0.json
+++ b/src/vdaf/test_vec/mastic/04/MasticCount_0.json
@@ -5,14 +5,14 @@
         1
     ],
     "agg_shares": [
-        "b7f9921c929a6d97e6dcde35a90237a34ad73fa33cefc5223b1354b6afbebcad",
-        "4a066de36c6592681b2321ca55fdc85cb828c05cc2103addc7ecab494f414352"
+        "3e9d16bcf3364f0b855cecb7b6c54efdb5f87e0adad194cb9a4b489d3f726b60",
+        "c362e9430bc9b0f47ca31348483ab1024d0781f5242e6b3468b4b762bf8d949f"
     ],
     "ctx": "736f6d65206170706c69636174696f6e",
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -25,16 +25,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b7f9921c929a6d97",
-                    "e6dcde35a90237a3",
-                    "4ad73fa33cefc522",
-                    "3b1354b6afbebcad"
+                    "3e9d16bcf3364f0b",
+                    "855cecb7b6c54efd",
+                    "b5f87e0adad194cb",
+                    "9a4b489d3f726b60"
                 ],
                 [
-                    "4a066de36c659268",
-                    "1b2321ca55fdc85c",
-                    "b828c05cc2103add",
-                    "c7ecab494f414352"
+                    "c362e9430bc9b0f4",
+                    "7ca31348483ab102",
+                    "4d0781f5242e6b34",
+                    "68b4b762bf8d949f"
                 ]
             ],
             "prep_messages": [
@@ -42,11 +42,11 @@
             ],
             "prep_shares": [
                 [
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a5ccfbe6874465df6b13c091772d6cb8ff1dc268ab0e2591b0def6e33ffdb5a834",
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a535041978ba9a2094ff3ae157f12d9afe90008d6ef8ae35298a5adc89a5f1fffa"
+                    "fd29b942ce3020071ba652fa5597991fb6baa655eeb3dc6aced3b5fc4c8c0bd082518600b8bd84150c9df3154968eb00fd6949610bbaa838f528e845e9b134bf",
+                    "fd29b942ce3020071ba652fa5597991fb6baa655eeb3dc6aced3b5fc4c8c0bd07fae79ff46427bea6814d366e7d3bd95781ac4b7ab90e6a99f6399ebb8914e6d"
                 ]
             ],
-            "public_share": "0b40eac2eab18af3ac91184d5f466dc0fe1e9b00a994e6abffb9486a9d48a9623b3101fa6350e7a9831bfb7cf323506e335d928f520ed8fbfe0056b2dbdc41b30abc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e295828074afb0c0c610f3d0139e2c7e5f1762a72cc1bd0036307bce53dc15c49d419ac4",
+            "public_share": "0e30118b55bf77ff34817d80025c5c736b1ee2188425350e71cc1dc5a779de3e6ff0676312c362381937b2713cf2d65c6bfd5e3a8400fe1b3f71da0726d672f55f796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314bead370e09dc18618bd5cc3c8825338a085d4790108cbeb9ecdb914466664cfa0",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticCount_1.json b/src/vdaf/test_vec/mastic/04/MasticCount_1.json
index b36fd695..b145cd6c 100644
--- a/src/vdaf/test_vec/mastic/04/MasticCount_1.json
+++ b/src/vdaf/test_vec/mastic/04/MasticCount_1.json
@@ -5,14 +5,14 @@
         0
     ],
     "agg_shares": [
-        "b747157958114cc62e1d497271c7270d8dc52279cde66d98155fe5f1b3762097",
-        "4ab8ea86a6eeb339d3e2b68d8d38d8f2743add8631199267eca01a0e4b89df68"
+        "15b6f3ac7e9865cf78cf798aff1e69a14efdc2ee9370d9e290b8ff73f7c8b79b",
+        "ec490c5380679a3089308675ffe0965eb3023d116b8f261d7147008c07374864"
     ],
     "ctx": "736f6d65206170706c69636174696f6e",
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -25,16 +25,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b747157958114cc6",
-                    "2e1d497271c7270d",
-                    "8dc52279cde66d98",
-                    "155fe5f1b3762097"
+                    "15b6f3ac7e9865cf",
+                    "78cf798aff1e69a1",
+                    "4efdc2ee9370d9e2",
+                    "90b8ff73f7c8b79b"
                 ],
                 [
-                    "4ab8ea86a6eeb339",
-                    "d3e2b68d8d38d8f2",
-                    "743add8631199267",
-                    "eca01a0e4b89df68"
+                    "ec490c5380679a30",
+                    "89308675ffe0965e",
+                    "b3023d116b8f261d",
+                    "7147008c07374864"
                 ]
             ],
             "prep_messages": [
@@ -42,11 +42,11 @@
             ],
             "prep_shares": [
                 [
-                    "ac13211f48dcf0c9201df67ebc4979661b9a705d18ea377bf940d7c40895df80ccfbe6874465df6bcef64f43dd61f5661d79048f5c8f6e8e89270f2007e119ac",
-                    "ac13211f48dcf0c9201df67ebc4979661b9a705d18ea377bf940d7c40895df8035041978ba9a2094c5edb5255d1187395e03bc1b36416ce932d8e39152ce8955"
+                    "245c09de0594a55d2dead508e9de14af70fa8a3343057af3949f09dc8fb5d7bd82518600b8bd8415522695511228b9228a6b0a9d88a7f97af0b1b62107f08c47",
+                    "245c09de0594a55d2dead508e9de14af70fa8a3343057af3949f09dc8fb5d7bd7fae79ff46427beaf79ffb3f48d217d30f4b40b400becf0407f72fed209095f2"
                 ]
             ],
-            "public_share": "0b40eac2eab18af3ac91184d5f466dc0fe1e9b00a994e6abffb9486a9d48a9623b3101fa6350e7a9831bfb7cf323506e335d928f520ed8fbfe0056b2dbdc41b30abc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e295828074afb0c0c610f3d0139e2c7e5f1762a72cc1bd0036307bce53dc15c49d419ac4",
+            "public_share": "0e30118b55bf77ff34817d80025c5c736b1ee2188425350e71cc1dc5a779de3e6ff0676312c362381937b2713cf2d65c6bfd5e3a8400fe1b3f71da0726d672f55f796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314bead370e09dc18618bd5cc3c8825338a085d4790108cbeb9ecdb914466664cfa0",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticCount_2.json b/src/vdaf/test_vec/mastic/04/MasticCount_2.json
index d045a75a..6bd1e656 100644
--- a/src/vdaf/test_vec/mastic/04/MasticCount_2.json
+++ b/src/vdaf/test_vec/mastic/04/MasticCount_2.json
@@ -10,14 +10,14 @@
         0
     ],
     "agg_shares": [
-        "b554929a03a762918d7453e9be3bc6f68a014d75b5f54af25a66007451a9a00db50b820b4f034292478338ca695fee89f1cd223330d382d022c4f562dcd56e06a46bee9b6160ca22b9a2745d1d270519aa7792468593d20e478268feee4f29b3513eaab2b731c643c31efeaf9a53f11a",
-        "4eab6d65fb589d6e768bac1640c4390978feb28a490ab50da899ff8bad565ff24df47df4affcbd6dbb7cc73595a011761332ddccce2c7d2fe23b0a9d222a91f95e9411649d9f35dd495d8ba2e1d8fae657886db9796c2df1ba7d970110b0d64cb0c1554d47ce39bc3ee1015064ac0ee5"
+        "6ef57dc62643f41df3b612481443be35041823540b68e1f42e5bc0751e031a6bcfff42d5a15f4f9b8e57d3d527a38d0bc144ff28f459af0c73a530f273eb9bad2a67bb5bcfadb352f88c452d81b96d54cbaa87245eefb24848dd5b2367dce390abcfae9c0690b138240bf80d93906c9c",
+        "950a8239d8bc0be21049edb7eabc41cafee7dcabf3971e0bd4a43f8ae0fce5943300bd2a5da0b06474a82c2ad75c72f443bb00d70aa650f3915acf0d8b146452d89844a42f524cad0a73bad27d4692ab365578dba0104db7b922a4dc97231c6f56305163f86f4ec7ddf407f26b6f9363"
     ],
     "ctx": "736f6d65206170706c69636174696f6e",
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -33,36 +33,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "953d16b2290ddb77",
-                    "4c1fe15cc0d5bbba",
-                    "44a0cf41ff40cbc1",
-                    "42155eadc24f3fb6",
-                    "b593a1b1f9fe8121",
-                    "a0dbd232f71f6a1c",
-                    "c4241436398c3e0c",
-                    "ef7460eaf02d7ed7",
-                    "d62f96f830afd041",
-                    "66ea866c3c5ab435",
-                    "2cbeaf29ee7418f4",
-                    "5bea967113dea4e3",
-                    "80f3b7ddc0a94769",
-                    "8e73c1aced49d4dd"
+                    "044022ecd0654d3a",
+                    "3eba1ae1ffe96e0d",
+                    "a2a356a692d54c99",
+                    "dce339557b6d1cc9",
+                    "0dd9f10d7f809235",
+                    "989294b85f5b6e65",
+                    "69b43811444e8f81",
+                    "32526f1483e4a2e6",
+                    "fed805eb193a98e6",
+                    "9007cbc075890324",
+                    "de0c800fd2226297",
+                    "c453bba6de936328",
+                    "88e8e90fef74a93a",
+                    "038629f2673ef9f6"
                 ],
                 [
-                    "6dc2e94dd5f22488",
-                    "b6e01ea33e2a4445",
-                    "bd5f30beffbe343e",
-                    "bfeaa1523cb0c049",
-                    "4c6c5e4e05017ede",
-                    "61242dcd07e095e3",
-                    "3ddbebc9c573c1f3",
-                    "128b9f150ed28128",
-                    "2bd06907ce502fbe",
-                    "9b157993c2a54bca",
-                    "d54150d6108be70b",
-                    "a615698eeb215b1c",
-                    "810c48223e56b896",
-                    "738c3e5311b62b22"
+                    "febfdd132e9ab2c5",
+                    "c445e51eff1591f2",
+                    "5f5ca9596c2ab366",
+                    "251cc6aa8392e336",
+                    "f4260ef27f7f6dca",
+                    "696d6b479fa4919a",
+                    "984bc7eebab1707e",
+                    "cfad90eb7b1b5d19",
+                    "0327fa14e5c56719",
+                    "71f8343f8976fcdb",
+                    "23f37ff02cdd9d68",
+                    "3dac4459206c9cd7",
+                    "791716f00f8b56c5",
+                    "fe79d60d97c10609"
                 ]
             ],
             "prep_messages": [
@@ -70,16 +70,16 @@
             ],
             "prep_shares": [
                 [
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a015322afc9b408759bf2e666b0ed1233c79d2867a4229de47891b590ade562852a2089",
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a01532252364bf789640d19195621aface2f71516c967531668d8b61c1746d9fc019520"
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c02c6d7e029fcf988f10f9095c548f022766f44bd80f2e0313d1f3468b15732930",
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c0d59281fd5f30677010fb3c8ed88093515d94632fceae87396146dd9ef6cad681"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -95,36 +95,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "953d16b2290ddb77",
-                    "4c1fe15cc0d5bbba",
-                    "44a0cf41ff40cbc1",
-                    "42155eadc24f3fb6",
-                    "b593a1b1f9fe8121",
-                    "a0dbd232f71f6a1c",
-                    "c4241436398c3e0c",
-                    "ef7460eaf02d7ed7",
-                    "d62f96f830afd041",
-                    "66ea866c3c5ab435",
-                    "2cbeaf29ee7418f4",
-                    "5bea967113dea4e3",
-                    "80f3b7ddc0a94769",
-                    "8e73c1aced49d4dd"
+                    "044022ecd0654d3a",
+                    "3eba1ae1ffe96e0d",
+                    "a2a356a692d54c99",
+                    "dce339557b6d1cc9",
+                    "0dd9f10d7f809235",
+                    "989294b85f5b6e65",
+                    "69b43811444e8f81",
+                    "32526f1483e4a2e6",
+                    "fed805eb193a98e6",
+                    "9007cbc075890324",
+                    "de0c800fd2226297",
+                    "c453bba6de936328",
+                    "88e8e90fef74a93a",
+                    "038629f2673ef9f6"
                 ],
                 [
-                    "6dc2e94dd5f22488",
-                    "b6e01ea33e2a4445",
-                    "bd5f30beffbe343e",
-                    "bfeaa1523cb0c049",
-                    "4c6c5e4e05017ede",
-                    "61242dcd07e095e3",
-                    "3ddbebc9c573c1f3",
-                    "128b9f150ed28128",
-                    "2bd06907ce502fbe",
-                    "9b157993c2a54bca",
-                    "d54150d6108be70b",
-                    "a615698eeb215b1c",
-                    "810c48223e56b896",
-                    "738c3e5311b62b22"
+                    "febfdd132e9ab2c5",
+                    "c445e51eff1591f2",
+                    "5f5ca9596c2ab366",
+                    "251cc6aa8392e336",
+                    "f4260ef27f7f6dca",
+                    "696d6b479fa4919a",
+                    "984bc7eebab1707e",
+                    "cfad90eb7b1b5d19",
+                    "0327fa14e5c56719",
+                    "71f8343f8976fcdb",
+                    "23f37ff02cdd9d68",
+                    "3dac4459206c9cd7",
+                    "791716f00f8b56c5",
+                    "fe79d60d97c10609"
                 ]
             ],
             "prep_messages": [
@@ -132,16 +132,16 @@
             ],
             "prep_shares": [
                 [
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a015322afc9b408759bf2e666b0ed1233c79d2867a4229de47891b590ade562852a2089",
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a01532252364bf789640d19195621aface2f71516c967531668d8b61c1746d9fc019520"
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c02c6d7e029fcf988f10f9095c548f022766f44bd80f2e0313d1f3468b15732930",
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c0d59281fd5f30677010fb3c8ed88093515d94632fceae87396146dd9ef6cad681"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -157,36 +157,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "9d3aca9c5bb54e73",
-                    "a0892353139fff76",
-                    "5f25676687656580",
-                    "3dd718e932cd7e73",
-                    "424ade7b575fee55",
-                    "1c3207b1f748a386",
-                    "95cee173d449b8b6",
-                    "cc7e0c02fc65d383",
-                    "304824ec95d94fca",
-                    "3c4ad4fbe9e0fb08",
-                    "b9f769d25202d437",
-                    "a949fcdc9f46e867",
-                    "3f61ff2084e6281b",
-                    "bb468e6c7066abf3"
+                    "0c95d60d13948285",
+                    "98ca7f3abe53a381",
+                    "c1a71c81e99cd17b",
+                    "31544efb9115d8ea",
+                    "563ab8abe8076462",
+                    "c69e809fa46400f8",
+                    "6069eb00c4aeda98",
+                    "a0991d772bfe6f0b",
+                    "9ffa11d0fa061ee7",
+                    "79cff946897c150a",
+                    "02071651d6fe1d91",
+                    "d856578148c563b2",
+                    "2f68d1997ce8a293",
+                    "9b09360eaef7c3eb"
                 ],
                 [
-                    "64c53563a34ab18c",
-                    "6176dcaceb600089",
-                    "a2da9899779a9a7f",
-                    "c428e716cc32818c",
-                    "c0b52184a7a011aa",
-                    "e6cdf84e07b75c79",
-                    "6c311e8c2ab64749",
-                    "3581f3fd029a2c7c",
-                    "d1b7db136926b035",
-                    "c5b52b04151f04f7",
-                    "4808962dacfd2bc8",
-                    "58b603235fb91798",
-                    "c29e00df7a19d7e4",
-                    "46b971938e99540c"
+                    "f56a29f2eb6b7d7a",
+                    "693580c540ac5c7e",
+                    "4058e37e15632e84",
+                    "d0abb1046dea2715",
+                    "acc5475416f89b9d",
+                    "3c617f605a9bff07",
+                    "a19614ff3a512567",
+                    "6166e288d30190f4",
+                    "6205ee2f04f9e118",
+                    "883006b97583eaf5",
+                    "fff8e9ae2801e26e",
+                    "29a9a87eb63a9c4d",
+                    "d2972e6682175d6c",
+                    "66f6c9f150083c14"
                 ]
             ],
             "prep_messages": [
@@ -194,16 +194,16 @@
             ],
             "prep_shares": [
                 [
-                    "498f45f1759ff24873352b572b15e262e535eb7d056e06f9031bbecbe5942b65afc9b408759bf2e666b0ed1233c79d2867a4229de47891b590ade562852a2089",
-                    "498f45f1759ff24873352b572b15e262e535eb7d056e06f9031bbecbe5942b6552364bf789640d19195621aface2f71516c967531668d8b61c1746d9fc019520"
+                    "ad47c82dc356b1088a1f800db0b2241297b80f3aabf5298f0cf84de046cb89262c6d7e029fcf988f10f9095c548f022766f44bd80f2e0313d1f3468b15732930",
+                    "ad47c82dc356b1088a1f800db0b2241297b80f3aabf5298f0cf84de046cb8926d59281fd5f30677010fb3c8ed88093515d94632fceae87396146dd9ef6cad681"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
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+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
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@@ -219,36 +219,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "9d3aca9c5bb54e73",
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-                    "e0b93bd07622083d",
-                    "afa2cf61ae875b3a",
-                    "50cec52abd896057"
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-                    "2146c42f88ddf7c2",
-                    "525d309e5078a4c5",
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                 ]
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             "prep_messages": [
@@ -256,16 +256,16 @@
             ],
             "prep_shares": [
                 [
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+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -281,36 +281,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "cd15fc50693a43ed",
-                    "cc2ede1b86ce5239",
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-                    "d8b97eb0598f1a4a",
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-                    "e0884ccb9cb4e999",
-                    "ce9d65406db71484"
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-                    "2177b334624b1666",
-                    "33629abf9148eb7b"
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             "prep_messages": [
@@ -318,16 +318,16 @@
             ],
             "prep_shares": [
                 [
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+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
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+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
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             ],
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@@ -343,36 +343,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "d8c4f1e383a2ee99",
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-                    "657ebfd5f4f74725"
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             "prep_messages": [
@@ -380,16 +380,16 @@
             ],
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-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -405,36 +405,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "d8c4f1e383a2ee99",
-                    "4f5179242f81a9c8",
-                    "b9ad63b2d60751c5",
-                    "83463132ad4a03d0",
-                    "2dbf6f734a90e01c",
-                    "ab39aa7bafba05ba",
-                    "326966dc857d5370",
-                    "5a8ce69431361d3d",
-                    "08e930a24f3dd51d",
-                    "c0831ac352b025ed",
-                    "ec2084b4c702a7af",
-                    "193eba846ee46ee3",
-                    "2deeb48dcb93edd5",
-                    "9c81402a0a08b8da"
+                    "29933ae8ef323bf5",
+                    "777fb7413db08452",
+                    "217181e21f3a29ef",
+                    "b2a0dfd753c7532d",
+                    "dee9be8fd9773529",
+                    "36ebbea2f1288099",
+                    "faffcb23e3ba8c91",
+                    "c7ce8a2c8aa44463",
+                    "fdef6239e8cad16d",
+                    "baf76e0760eb0ebe",
+                    "f430f189f58c08c6",
+                    "97e0a2f72763b9da",
+                    "beb31602839cf4cf",
+                    "509d47abb86374df"
                 ],
                 [
-                    "293b0e1c7b5d1166",
-                    "b2ae86dbcf7e5637",
-                    "48529c4d28f8ae3a",
-                    "7eb9cecd51b5fc2f",
-                    "d440908cb46f1fe3",
-                    "56c655844f45fa45",
-                    "d09699237982ac8f",
-                    "a873196bcdc9e2c2",
-                    "f916cf5dafc22ae2",
-                    "417ce53cac4fda12",
-                    "15df7b4b37fd5850",
-                    "e8c1457b901b911c",
-                    "d4114b72336c122a",
-                    "657ebfd5f4f74725"
+                    "d86cc5170fcdc40a",
+                    "8a8048bec14f7bad",
+                    "e08e7e1ddfc5d610",
+                    "4f5f2028ab38acd2",
+                    "231641702588cad6",
+                    "cb14415d0dd77f66",
+                    "080034dc1b45736e",
+                    "3b3175d3745bbb9c",
+                    "04109dc616352e92",
+                    "470891f89e14f141",
+                    "0dcf0e760973f739",
+                    "6a1f5d08d79c4625",
+                    "434ce9fd7b630b30",
+                    "b162b854469c8b20"
                 ]
             ],
             "prep_messages": [
@@ -442,16 +442,16 @@
             ],
             "prep_shares": [
                 [
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49eafc9b408759bf2e666b0ed1233c79d2867a4229de47891b590ade562852a2089",
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e52364bf789640d19195621aface2f71516c967531668d8b61c1746d9fc019520"
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb92c6d7e029fcf988f10f9095c548f022766f44bd80f2e0313d1f3468b15732930",
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9d59281fd5f30677010fb3c8ed88093515d94632fceae87396146dd9ef6cad681"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "31028031b3e41fc4b2fe2a3f77de06db7fe06eb6ffd9b0e2083236efcc45c94d7ca7c061c2d66fafdc0b34509f1ee246cbb18481284d0d1422caa93c58f805ae12fc96571eb833cf5d83fb68cbb285da472b149b0a3cb2046aef8e96793a0ac548f162d5e495135c2e58052f8f36198892949f86b8b81414971f05f924425ae428b556e4139b9825e7e74c4196275f57f2fc35eb52f72c55e93e3193770130eeba061fcf7e3da5536ef5a1668edbcf156f0fd3c945373fb5dc1c9a6186492c228774054291117c18b81662a9088383ee06b10e90164cd82e94d2b5ad07dc2ae07ab1b861d103b3ec7fb911023c394b0bd14698b3910ef1d5fd790320674116b9355f384805f18cca0e14c8327d5bfa82ff97dba54bc303dc21396e9b7349f4fed3663944c431225ef122e692349ac63e7346117ad2ff85ce46879ce73a37fb41a748",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -467,36 +467,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "d8c4f1e383a2ee99",
-                    "4f5179242f81a9c8",
-                    "b9ad63b2d60751c5",
-                    "83463132ad4a03d0",
-                    "2dbf6f734a90e01c",
-                    "ab39aa7bafba05ba",
-                    "326966dc857d5370",
-                    "5a8ce69431361d3d",
-                    "08e930a24f3dd51d",
-                    "c0831ac352b025ed",
-                    "ec2084b4c702a7af",
-                    "193eba846ee46ee3",
-                    "2deeb48dcb93edd5",
-                    "9c81402a0a08b8da"
+                    "29933ae8ef323bf5",
+                    "777fb7413db08452",
+                    "217181e21f3a29ef",
+                    "b2a0dfd753c7532d",
+                    "dee9be8fd9773529",
+                    "36ebbea2f1288099",
+                    "faffcb23e3ba8c91",
+                    "c7ce8a2c8aa44463",
+                    "fdef6239e8cad16d",
+                    "baf76e0760eb0ebe",
+                    "f430f189f58c08c6",
+                    "97e0a2f72763b9da",
+                    "beb31602839cf4cf",
+                    "509d47abb86374df"
                 ],
                 [
-                    "293b0e1c7b5d1166",
-                    "b2ae86dbcf7e5637",
-                    "48529c4d28f8ae3a",
-                    "7eb9cecd51b5fc2f",
-                    "d440908cb46f1fe3",
-                    "56c655844f45fa45",
-                    "d09699237982ac8f",
-                    "a873196bcdc9e2c2",
-                    "f916cf5dafc22ae2",
-                    "417ce53cac4fda12",
-                    "15df7b4b37fd5850",
-                    "e8c1457b901b911c",
-                    "d4114b72336c122a",
-                    "657ebfd5f4f74725"
+                    "d86cc5170fcdc40a",
+                    "8a8048bec14f7bad",
+                    "e08e7e1ddfc5d610",
+                    "4f5f2028ab38acd2",
+                    "231641702588cad6",
+                    "cb14415d0dd77f66",
+                    "080034dc1b45736e",
+                    "3b3175d3745bbb9c",
+                    "04109dc616352e92",
+                    "470891f89e14f141",
+                    "0dcf0e760973f739",
+                    "6a1f5d08d79c4625",
+                    "434ce9fd7b630b30",
+                    "b162b854469c8b20"
                 ]
             ],
             "prep_messages": [
@@ -504,11 +504,11 @@
             ],
             "prep_shares": [
                 [
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49eafc9b408759bf2e666b0ed1233c79d2867a4229de47891b590ade562852a2089",
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e52364bf789640d19195621aface2f71516c967531668d8b61c1746d9fc019520"
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb92c6d7e029fcf988f10f9095c548f022766f44bd80f2e0313d1f3468b15732930",
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9d59281fd5f30677010fb3c8ed88093515d94632fceae87396146dd9ef6cad681"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticCount_3.json b/src/vdaf/test_vec/mastic/04/MasticCount_3.json
index 22596477..e8fc79ed 100644
--- a/src/vdaf/test_vec/mastic/04/MasticCount_3.json
+++ b/src/vdaf/test_vec/mastic/04/MasticCount_3.json
@@ -10,14 +10,14 @@
         0
     ],
     "agg_shares": [
-        "b554929a03a762918d7453e9be3bc6f68a014d75b5f54af25a66007451a9a00db50b820b4f034292478338ca695fee89f1cd223330d382d022c4f562dcd56e06a46bee9b6160ca22b9a2745d1d270519aa7792468593d20e478268feee4f29b3513eaab2b731c643c31efeaf9a53f11a",
-        "4eab6d65fb589d6e768bac1640c4390978feb28a490ab50da899ff8bad565ff24df47df4affcbd6dbb7cc73595a011761332ddccce2c7d2fe23b0a9d222a91f95e9411649d9f35dd495d8ba2e1d8fae657886db9796c2df1ba7d970110b0d64cb0c1554d47ce39bc3ee1015064ac0ee5"
+        "6ef57dc62643f41df3b612481443be35041823540b68e1f42e5bc0751e031a6bcfff42d5a15f4f9b8e57d3d527a38d0bc144ff28f459af0c73a530f273eb9bad2a67bb5bcfadb352f88c452d81b96d54cbaa87245eefb24848dd5b2367dce390abcfae9c0690b138240bf80d93906c9c",
+        "950a8239d8bc0be21049edb7eabc41cafee7dcabf3971e0bd4a43f8ae0fce5943300bd2a5da0b06474a82c2ad75c72f443bb00d70aa650f3915acf0d8b146452d89844a42f524cad0a73bad27d4692ab365578dba0104db7b922a4dc97231c6f56305163f86f4ec7ddf407f26b6f9363"
     ],
     "ctx": "736f6d65206170706c69636174696f6e",
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -33,36 +33,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "953d16b2290ddb77",
-                    "4c1fe15cc0d5bbba",
-                    "44a0cf41ff40cbc1",
-                    "42155eadc24f3fb6",
-                    "b593a1b1f9fe8121",
-                    "a0dbd232f71f6a1c",
-                    "c4241436398c3e0c",
-                    "ef7460eaf02d7ed7",
-                    "d62f96f830afd041",
-                    "66ea866c3c5ab435",
-                    "2cbeaf29ee7418f4",
-                    "5bea967113dea4e3",
-                    "80f3b7ddc0a94769",
-                    "8e73c1aced49d4dd"
+                    "044022ecd0654d3a",
+                    "3eba1ae1ffe96e0d",
+                    "a2a356a692d54c99",
+                    "dce339557b6d1cc9",
+                    "0dd9f10d7f809235",
+                    "989294b85f5b6e65",
+                    "69b43811444e8f81",
+                    "32526f1483e4a2e6",
+                    "fed805eb193a98e6",
+                    "9007cbc075890324",
+                    "de0c800fd2226297",
+                    "c453bba6de936328",
+                    "88e8e90fef74a93a",
+                    "038629f2673ef9f6"
                 ],
                 [
-                    "6dc2e94dd5f22488",
-                    "b6e01ea33e2a4445",
-                    "bd5f30beffbe343e",
-                    "bfeaa1523cb0c049",
-                    "4c6c5e4e05017ede",
-                    "61242dcd07e095e3",
-                    "3ddbebc9c573c1f3",
-                    "128b9f150ed28128",
-                    "2bd06907ce502fbe",
-                    "9b157993c2a54bca",
-                    "d54150d6108be70b",
-                    "a615698eeb215b1c",
-                    "810c48223e56b896",
-                    "738c3e5311b62b22"
+                    "febfdd132e9ab2c5",
+                    "c445e51eff1591f2",
+                    "5f5ca9596c2ab366",
+                    "251cc6aa8392e336",
+                    "f4260ef27f7f6dca",
+                    "696d6b479fa4919a",
+                    "984bc7eebab1707e",
+                    "cfad90eb7b1b5d19",
+                    "0327fa14e5c56719",
+                    "71f8343f8976fcdb",
+                    "23f37ff02cdd9d68",
+                    "3dac4459206c9cd7",
+                    "791716f00f8b56c5",
+                    "fe79d60d97c10609"
                 ]
             ],
             "prep_messages": [
@@ -70,16 +70,16 @@
             ],
             "prep_shares": [
                 [
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a015322",
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a015322"
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c0",
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c0"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -95,36 +95,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "953d16b2290ddb77",
-                    "4c1fe15cc0d5bbba",
-                    "44a0cf41ff40cbc1",
-                    "42155eadc24f3fb6",
-                    "b593a1b1f9fe8121",
-                    "a0dbd232f71f6a1c",
-                    "c4241436398c3e0c",
-                    "ef7460eaf02d7ed7",
-                    "d62f96f830afd041",
-                    "66ea866c3c5ab435",
-                    "2cbeaf29ee7418f4",
-                    "5bea967113dea4e3",
-                    "80f3b7ddc0a94769",
-                    "8e73c1aced49d4dd"
+                    "044022ecd0654d3a",
+                    "3eba1ae1ffe96e0d",
+                    "a2a356a692d54c99",
+                    "dce339557b6d1cc9",
+                    "0dd9f10d7f809235",
+                    "989294b85f5b6e65",
+                    "69b43811444e8f81",
+                    "32526f1483e4a2e6",
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+                    "9007cbc075890324",
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+                    "c453bba6de936328",
+                    "88e8e90fef74a93a",
+                    "038629f2673ef9f6"
                 ],
                 [
-                    "6dc2e94dd5f22488",
-                    "b6e01ea33e2a4445",
-                    "bd5f30beffbe343e",
-                    "bfeaa1523cb0c049",
-                    "4c6c5e4e05017ede",
-                    "61242dcd07e095e3",
-                    "3ddbebc9c573c1f3",
-                    "128b9f150ed28128",
-                    "2bd06907ce502fbe",
-                    "9b157993c2a54bca",
-                    "d54150d6108be70b",
-                    "a615698eeb215b1c",
-                    "810c48223e56b896",
-                    "738c3e5311b62b22"
+                    "febfdd132e9ab2c5",
+                    "c445e51eff1591f2",
+                    "5f5ca9596c2ab366",
+                    "251cc6aa8392e336",
+                    "f4260ef27f7f6dca",
+                    "696d6b479fa4919a",
+                    "984bc7eebab1707e",
+                    "cfad90eb7b1b5d19",
+                    "0327fa14e5c56719",
+                    "71f8343f8976fcdb",
+                    "23f37ff02cdd9d68",
+                    "3dac4459206c9cd7",
+                    "791716f00f8b56c5",
+                    "fe79d60d97c10609"
                 ]
             ],
             "prep_messages": [
@@ -132,16 +132,16 @@
             ],
             "prep_shares": [
                 [
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a015322",
-                    "e2b4d98082b16712349dc6d5d4c59728b2209885767b0672002006d09a015322"
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c0",
+                    "0bc6f29eb752bdfb3d51b2d0deffe1ab6e16e7902f76f6270338cd16c063c8c0"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "8d038031b3e41fc4b2fe2a3f77de06db7fe0806225f5601afc6f1578ceb8a6d174c50c4eecaffdf4f2310f168d03c5a4cbfc4c3ed6bc04479d05151e4f21be576a880c8ec3143a6b9fb9509d7d0658fc05dc149b0a3cb2046aef8e96793a0ac548f123fcc6eebe7973c8a4500651955a500673e19649c10909b051ef18c08828de79e178096261b4c3169c50015389bba0478bf97610f7213fc164c370974ff59af71fcf7e3da5536ef5a1668edbcf156f0fd3c945373fb5dc1c9a6186492c2287744721f599cd4fb470b85efdbc10e10b3e26b2429a6995974f60522f4f897077de82268c3c3c4c2ebfa2d5c92c144865eb2034a91595dd4e4a21cc389ddac89cfa96d8e9329459a6e5edafd9f4ac1ecae95f9449e7210b0af9c4d2f16abee578ad709db6928479adc6cc0714f759d7f43412e7c2139b9c3d002fee3526734be175",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -157,36 +157,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "9d3aca9c5bb54e73",
-                    "a0892353139fff76",
-                    "5f25676687656580",
-                    "3dd718e932cd7e73",
-                    "424ade7b575fee55",
-                    "1c3207b1f748a386",
-                    "95cee173d449b8b6",
-                    "cc7e0c02fc65d383",
-                    "304824ec95d94fca",
-                    "3c4ad4fbe9e0fb08",
-                    "b9f769d25202d437",
-                    "a949fcdc9f46e867",
-                    "3f61ff2084e6281b",
-                    "bb468e6c7066abf3"
+                    "0c95d60d13948285",
+                    "98ca7f3abe53a381",
+                    "c1a71c81e99cd17b",
+                    "31544efb9115d8ea",
+                    "563ab8abe8076462",
+                    "c69e809fa46400f8",
+                    "6069eb00c4aeda98",
+                    "a0991d772bfe6f0b",
+                    "9ffa11d0fa061ee7",
+                    "79cff946897c150a",
+                    "02071651d6fe1d91",
+                    "d856578148c563b2",
+                    "2f68d1997ce8a293",
+                    "9b09360eaef7c3eb"
                 ],
                 [
-                    "64c53563a34ab18c",
-                    "6176dcaceb600089",
-                    "a2da9899779a9a7f",
-                    "c428e716cc32818c",
-                    "c0b52184a7a011aa",
-                    "e6cdf84e07b75c79",
-                    "6c311e8c2ab64749",
-                    "3581f3fd029a2c7c",
-                    "d1b7db136926b035",
-                    "c5b52b04151f04f7",
-                    "4808962dacfd2bc8",
-                    "58b603235fb91798",
-                    "c29e00df7a19d7e4",
-                    "46b971938e99540c"
+                    "f56a29f2eb6b7d7a",
+                    "693580c540ac5c7e",
+                    "4058e37e15632e84",
+                    "d0abb1046dea2715",
+                    "acc5475416f89b9d",
+                    "3c617f605a9bff07",
+                    "a19614ff3a512567",
+                    "6166e288d30190f4",
+                    "6205ee2f04f9e118",
+                    "883006b97583eaf5",
+                    "fff8e9ae2801e26e",
+                    "29a9a87eb63a9c4d",
+                    "d2972e6682175d6c",
+                    "66f6c9f150083c14"
                 ]
             ],
             "prep_messages": [
@@ -194,16 +194,16 @@
             ],
             "prep_shares": [
                 [
-                    "498f45f1759ff24873352b572b15e262e535eb7d056e06f9031bbecbe5942b65",
-                    "498f45f1759ff24873352b572b15e262e535eb7d056e06f9031bbecbe5942b65"
+                    "ad47c82dc356b1088a1f800db0b2241297b80f3aabf5298f0cf84de046cb8926",
+                    "ad47c82dc356b1088a1f800db0b2241297b80f3aabf5298f0cf84de046cb8926"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -219,36 +219,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "9d3aca9c5bb54e73",
-                    "a0892353139fff76",
-                    "5f25676687656580",
-                    "3dd718e932cd7e73",
-                    "424ade7b575fee55",
-                    "1c3207b1f748a386",
-                    "0e117fe1cf7aff3f",
-                    "142a8e38343b2adf",
-                    "aa1fda352933845d",
-                    "b674287c6ad009f0",
-                    "f6f3b29f9a3ea549",
-                    "e0b93bd07622083d",
-                    "afa2cf61ae875b3a",
-                    "50cec52abd896057"
+                    "690ad4211e7c6000",
+                    "1f8f290825612acf",
+                    "c2a71c81e99cd17b",
+                    "32544efb9115d8ea",
+                    "553ab8abe8076462",
+                    "c59e809fa46400f8",
+                    "dd9de91e14dfc894",
+                    "c2741d3500b2f2f5",
+                    "9ffa11d0fa061ee7",
+                    "79cff946897c150a",
+                    "5fba44f0e9b9f4df",
+                    "0da391f283194c83",
+                    "558f9968ef3426a4",
+                    "6e6798e5cbd52bc6"
                 ],
                 [
-                    "64c53563a34ab18c",
-                    "6176dcaceb600089",
-                    "a3da9899779a9a7f",
-                    "c528e716cc32818c",
-                    "bfb52184a7a011aa",
-                    "e5cdf84e07b75c79",
-                    "f3ee801e2f8500c0",
-                    "edd571c7cac4d520",
-                    "57e025cad5cc7ba2",
-                    "4b8bd783942ff60f",
-                    "0b0c4d6064c15ab6",
-                    "2146c42f88ddf7c2",
-                    "525d309e5078a4c5",
-                    "b1313ad541769fa8"
+                    "98f52bdee0839fff",
+                    "e270d6f7d99ed530",
+                    "4058e37e15632e84",
+                    "d0abb1046dea2715",
+                    "acc5475416f89b9d",
+                    "3c617f605a9bff07",
+                    "246216e1ea20376b",
+                    "3f8be2cafe4d0d0a",
+                    "6205ee2f04f9e118",
+                    "883006b97583eaf5",
+                    "a245bb0f15460b20",
+                    "f45c6e0d7be6b37c",
+                    "ac7066970fcbd95b",
+                    "9398671a332ad439"
                 ]
             ],
             "prep_messages": [
@@ -256,16 +256,16 @@
             ],
             "prep_shares": [
                 [
-                    "ece3dbc35cd4afd1050315a01d501b6316e2d74ba0238e31e2c2ebc8da5ee3b0",
-                    "ece3dbc35cd4afd1050315a01d501b6316e2d74ba0238e31e2c2ebc8da5ee3b0"
+                    "7e72a4ee8fc1708118ef8c59c98e610f6deec6758c348a7de5249df47260c2db",
+                    "7e72a4ee8fc1708118ef8c59c98e610f6deec6758c348a7de5249df47260c2db"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -281,36 +281,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "cd15fc50693a43ed",
-                    "cc2ede1b86ce5239",
-                    "1d6db40d2091f61d",
-                    "d8b97eb0598f1a4a",
-                    "41123356cc95bf4c",
-                    "d1ba858f7a5dc215",
-                    "326966dc857d5370",
-                    "5a8ce69431361d3d",
-                    "08e930a24f3dd51d",
-                    "c0831ac352b025ed",
-                    "e4ac89635f603396",
-                    "c2efd3df607da29c",
-                    "e0884ccb9cb4e999",
-                    "ce9d65406db71484"
+                    "7a1cdf0580cec443",
+                    "5e6a0d7e76a984d2",
+                    "df2db85daed428fd",
+                    "0109114d04a7357b",
+                    "721bb2b243e7c1ef",
+                    "36336c3d45a82f84",
+                    "c8d4547be6fe4627",
+                    "5c8676979f8425b5",
+                    "feef6239e8cad16d",
+                    "bbf76e0760eb0ebe",
+                    "d73c5926144ac256",
+                    "1a9a137b61ac407a",
+                    "e1eb2b742fb3b71b",
+                    "2bb6ff33191b2d5e"
                 ],
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-                    "34ea03af95c5bc12",
-                    "35d121e47831adc6",
-                    "e4924bf2de6e09e2",
-                    "2946814fa570e5b5",
-                    "c0edcca9326a40b3",
-                    "30457a7084a23dea",
-                    "cf9699237982ac8f",
-                    "a773196bcdc9e2c2",
-                    "fa16cf5dafc22ae2",
-                    "427ce53cac4fda12",
-                    "1d53769c9f9fcc69",
-                    "3f102c209e825d63",
-                    "2177b334624b1666",
-                    "33629abf9148eb7b"
+                    "87e320fa7e313bbc",
+                    "a395f28188567b2d",
+                    "22d247a2502bd702",
+                    "00f7eeb2fa58ca84",
+                    "8fe44d4dbb183e10",
+                    "cbcc93c2b957d07b",
+                    "392bab841801b9d8",
+                    "a57989685f7bda4a",
+                    "04109dc616352e92",
+                    "470891f89e14f141",
+                    "2ac3a6d9eab53da9",
+                    "e765ec849d53bf85",
+                    "2014d48bcf4c48e4",
+                    "d64900cce5e4d2a1"
                 ]
             ],
             "prep_messages": [
@@ -318,16 +318,16 @@
             ],
             "prep_shares": [
                 [
-                    "7a92c38a4f8cfa586a1b79ce3c5b14e019eb5378525aaa041c0e618eb9b91d8b",
-                    "7a92c38a4f8cfa586a1b79ce3c5b14e019eb5378525aaa041c0e618eb9b91d8b"
+                    "c2fe3f3d30d0e7117847c8764660ba072000d16a73cea13bd41ae6b1f47b6135",
+                    "c2fe3f3d30d0e7117847c8764660ba072000d16a73cea13bd41ae6b1f47b6135"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -343,36 +343,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "d8c4f1e383a2ee99",
-                    "4f5179242f81a9c8",
-                    "b9ad63b2d60751c5",
-                    "83463132ad4a03d0",
-                    "2dbf6f734a90e01c",
-                    "ab39aa7bafba05ba",
-                    "326966dc857d5370",
-                    "5a8ce69431361d3d",
-                    "08e930a24f3dd51d",
-                    "c0831ac352b025ed",
-                    "ec2084b4c702a7af",
-                    "193eba846ee46ee3",
-                    "2deeb48dcb93edd5",
-                    "9c81402a0a08b8da"
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+                    "217181e21f3a29ef",
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+                    "36ebbea2f1288099",
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+                    "c7ce8a2c8aa44463",
+                    "fdef6239e8cad16d",
+                    "baf76e0760eb0ebe",
+                    "f430f189f58c08c6",
+                    "97e0a2f72763b9da",
+                    "beb31602839cf4cf",
+                    "509d47abb86374df"
                 ],
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-                    "b2ae86dbcf7e5637",
-                    "48529c4d28f8ae3a",
-                    "7eb9cecd51b5fc2f",
-                    "d440908cb46f1fe3",
-                    "56c655844f45fa45",
-                    "d09699237982ac8f",
-                    "a873196bcdc9e2c2",
-                    "f916cf5dafc22ae2",
-                    "417ce53cac4fda12",
-                    "15df7b4b37fd5850",
-                    "e8c1457b901b911c",
-                    "d4114b72336c122a",
-                    "657ebfd5f4f74725"
+                    "d86cc5170fcdc40a",
+                    "8a8048bec14f7bad",
+                    "e08e7e1ddfc5d610",
+                    "4f5f2028ab38acd2",
+                    "231641702588cad6",
+                    "cb14415d0dd77f66",
+                    "080034dc1b45736e",
+                    "3b3175d3745bbb9c",
+                    "04109dc616352e92",
+                    "470891f89e14f141",
+                    "0dcf0e760973f739",
+                    "6a1f5d08d79c4625",
+                    "434ce9fd7b630b30",
+                    "b162b854469c8b20"
                 ]
             ],
             "prep_messages": [
@@ -380,16 +380,16 @@
             ],
             "prep_shares": [
                 [
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e",
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e"
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9",
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9"
                 ]
             ],
-            "public_share": "2c02fe948733e8abb0c8d8614ea90a159563bab5b3fb27db24b52744c7d7daf017e1704a5d72e305f507341fa04698ae750610308221da641c4a04eee53bc1a34ae2e6da026dab3b995a96b0a672e56e5923a793026096167908392daf72f2195bb83f9894a45c20b02fd7f8d129b722799f77ecc6df85a2d9634f4abca9d2d92efa340810b0bc595ea59352210341f43e9bed4501c7619869c0d0196af16169e7fbae0dec048430f03b3499dad1954b300f20ee662472f89fb7c75995efb8eb14b32145edd2b01932b38b2cc785d8e23e266e491dbe2dc34ecbf0eec1c04878b01f5c139170c92713e93f23483b440e2f663c404ad9f201f1f3a6c219735db919645108c1859bc0e27cd83f8a36cffa611a3a7933d86df584d910119c722bd41ce8bf0c8fb309c836ff87fb9c5fcf25c091f10fb0bd40844a3c8093131aef5a4036",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -405,36 +405,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "d8c4f1e383a2ee99",
-                    "4f5179242f81a9c8",
-                    "b9ad63b2d60751c5",
-                    "83463132ad4a03d0",
-                    "2dbf6f734a90e01c",
-                    "ab39aa7bafba05ba",
-                    "326966dc857d5370",
-                    "5a8ce69431361d3d",
-                    "08e930a24f3dd51d",
-                    "c0831ac352b025ed",
-                    "ec2084b4c702a7af",
-                    "193eba846ee46ee3",
-                    "2deeb48dcb93edd5",
-                    "9c81402a0a08b8da"
+                    "29933ae8ef323bf5",
+                    "777fb7413db08452",
+                    "217181e21f3a29ef",
+                    "b2a0dfd753c7532d",
+                    "dee9be8fd9773529",
+                    "36ebbea2f1288099",
+                    "faffcb23e3ba8c91",
+                    "c7ce8a2c8aa44463",
+                    "fdef6239e8cad16d",
+                    "baf76e0760eb0ebe",
+                    "f430f189f58c08c6",
+                    "97e0a2f72763b9da",
+                    "beb31602839cf4cf",
+                    "509d47abb86374df"
                 ],
                 [
-                    "293b0e1c7b5d1166",
-                    "b2ae86dbcf7e5637",
-                    "48529c4d28f8ae3a",
-                    "7eb9cecd51b5fc2f",
-                    "d440908cb46f1fe3",
-                    "56c655844f45fa45",
-                    "d09699237982ac8f",
-                    "a873196bcdc9e2c2",
-                    "f916cf5dafc22ae2",
-                    "417ce53cac4fda12",
-                    "15df7b4b37fd5850",
-                    "e8c1457b901b911c",
-                    "d4114b72336c122a",
-                    "657ebfd5f4f74725"
+                    "d86cc5170fcdc40a",
+                    "8a8048bec14f7bad",
+                    "e08e7e1ddfc5d610",
+                    "4f5f2028ab38acd2",
+                    "231641702588cad6",
+                    "cb14415d0dd77f66",
+                    "080034dc1b45736e",
+                    "3b3175d3745bbb9c",
+                    "04109dc616352e92",
+                    "470891f89e14f141",
+                    "0dcf0e760973f739",
+                    "6a1f5d08d79c4625",
+                    "434ce9fd7b630b30",
+                    "b162b854469c8b20"
                 ]
             ],
             "prep_messages": [
@@ -442,16 +442,16 @@
             ],
             "prep_shares": [
                 [
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e",
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e"
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9",
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586819caa63d4a3b11ca35ae9cba1bac0edd99ecf422a9233e9223000eb26fe45b8",
+                "000102030405060708090a0b0c0d0e0f2712998769f26b6277b32c9f3a40c040110fbc523feaddcea2f553d5770bb55232e052d8e61616f7",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -467,36 +467,36 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "d8c4f1e383a2ee99",
-                    "4f5179242f81a9c8",
-                    "b9ad63b2d60751c5",
-                    "83463132ad4a03d0",
-                    "2dbf6f734a90e01c",
-                    "ab39aa7bafba05ba",
-                    "326966dc857d5370",
-                    "5a8ce69431361d3d",
-                    "08e930a24f3dd51d",
-                    "c0831ac352b025ed",
-                    "ec2084b4c702a7af",
-                    "193eba846ee46ee3",
-                    "2deeb48dcb93edd5",
-                    "9c81402a0a08b8da"
+                    "29933ae8ef323bf5",
+                    "777fb7413db08452",
+                    "217181e21f3a29ef",
+                    "b2a0dfd753c7532d",
+                    "dee9be8fd9773529",
+                    "36ebbea2f1288099",
+                    "faffcb23e3ba8c91",
+                    "c7ce8a2c8aa44463",
+                    "fdef6239e8cad16d",
+                    "baf76e0760eb0ebe",
+                    "f430f189f58c08c6",
+                    "97e0a2f72763b9da",
+                    "beb31602839cf4cf",
+                    "509d47abb86374df"
                 ],
                 [
-                    "293b0e1c7b5d1166",
-                    "b2ae86dbcf7e5637",
-                    "48529c4d28f8ae3a",
-                    "7eb9cecd51b5fc2f",
-                    "d440908cb46f1fe3",
-                    "56c655844f45fa45",
-                    "d09699237982ac8f",
-                    "a873196bcdc9e2c2",
-                    "f916cf5dafc22ae2",
-                    "417ce53cac4fda12",
-                    "15df7b4b37fd5850",
-                    "e8c1457b901b911c",
-                    "d4114b72336c122a",
-                    "657ebfd5f4f74725"
+                    "d86cc5170fcdc40a",
+                    "8a8048bec14f7bad",
+                    "e08e7e1ddfc5d610",
+                    "4f5f2028ab38acd2",
+                    "231641702588cad6",
+                    "cb14415d0dd77f66",
+                    "080034dc1b45736e",
+                    "3b3175d3745bbb9c",
+                    "04109dc616352e92",
+                    "470891f89e14f141",
+                    "0dcf0e760973f739",
+                    "6a1f5d08d79c4625",
+                    "434ce9fd7b630b30",
+                    "b162b854469c8b20"
                 ]
             ],
             "prep_messages": [
@@ -504,11 +504,11 @@
             ],
             "prep_shares": [
                 [
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e",
-                    "9fd480ef2ed8b89504cc7bea26ec96aff50b3fc984c14b403c77e4479317a49e"
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9",
+                    "a67d267d46babd82774a4784ccb33925c00018a9c535a6df7c2e6794a2dd4eb9"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticHistogram_0.json b/src/vdaf/test_vec/mastic/04/MasticHistogram_0.json
index 7f77f931..6d89d999 100644
--- a/src/vdaf/test_vec/mastic/04/MasticHistogram_0.json
+++ b/src/vdaf/test_vec/mastic/04/MasticHistogram_0.json
@@ -15,8 +15,8 @@
         ]
     ],
     "agg_shares": [
-        "ab1c50b07a82e8740b6de7b72526a391220e88edfd85b4d621194410bd64c7cff6406f5b055ec5b7c908282cb836d447af43eee8d094f516ed6d619972dff19cf6a2d05fac19e06d96c2a17be84e839088374fa7a42ebaa035cbce842d1160dda40e01f0f310673d6d07ea8491058ac3c7b972088bcc17e036bee46055af4c513e37668f73b4dd64e2d0bb4060050afac4db2c15c86a679b58271187378cd75a",
-        "57e3af4f857d178bd8921848dad95c6edff17712027a4b29c2e6bbef429b38300bbf90a4faa13a481af7d7d347c92bb852bc11172f6b0ae9f6919e668d200e630c5d2fa053e61f924d3d5e8417b17c6f7ac8b0585bd1455fae34317bd2ee9f225df1fe0f0cef98c276f8157b6efa753c3a468df77433e81fad411b9faa50b3aec4c899708c4b229b012f44bf9ffaf5053d24d3ea379598648bd8ee78c87328a5"
+        "3e22db067cc9306e866e6d9ffe5c3be47dfa6a58442bcdcab46651164ab69c55d097145b316b7510cd07328fe39dfd3a1143f807f471acfa8f8ebd31869a8b6f41758804a1dadf591728101fd50b0616730b80488e2bf64a94f48497e8571fae9bfd877123c910df6bd6770145058d6ca0ba3202a93e3ffc8ee292c48759e51ac0af1457c6f91058b15820cec436f19e31ddfe78d262bcc719382c5299fc099d",
+        "c4dd24f98336cf915d91926001a3c41b840595a7bbd432352f99aee9b54963aa3168eba4ce948aef16f8cd701c6202c5f0bc07f80b8e5305547142ce79657490c18a77fb5e2520a6ccd7efe02af4f9e98ff47fb771d409b54f0b7b6817a8e0516602788edc36ef20782988febafa72936145cdfd56c1c003551d6d3b78a61ae54250eba83906efa732a7df313bc90e61d02201872d9d4338cac7d3ad6603f662"
     ],
     "chunk_length": 2,
     "ctx": "736f6d65206170706c69636174696f6e",
@@ -24,8 +24,8 @@
     "prep": [
         {
             "input_shares": [
-                "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",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f87e5e50e23e85a5fe50bdcc0b908f6b0a1a1099c49c5e6c9bc965215adeff296"
+                "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",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f6679cc979fa30684efd4027510ff58f56d3c1d50cf7e9b9eb2e46354f16b674a"
             ],
             "measurement": [
                 [
@@ -37,46 +37,46 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b847157958114cc6101d497272c7270d",
-                    "41f91e1991b9333e8f87a10d64484c61",
-                    "ff31ebc96df78d002724a8bc3705b448",
-                    "24a003aa37e86fd228c2634a36c50473",
-                    "57ec5d99b72ed656ab837615e6baab33",
-                    "8dc52279cde66d98155fe5f1b3762097",
-                    "00e16804881eff1023da897ff4824b77",
-                    "9591bd1cbdd52983a1550aef8da45f22",
-                    "fe3dd9950eef3bedf31a3699bf8d8a60",
-                    "e22af0a9246c0ddf5d39e47b93332208"
+                    "15b6f3ac7e9865cf78cf798aff1e69a1",
+                    "d5a823c816b99943d4ccc55cc33c34c7",
+                    "9b325c1ebb2327b0e557bb2fa134ff68",
+                    "b16bfd57517b39fec78494108233d9cf",
+                    "c1d182018bf39fc89f6205b5f10302b2",
+                    "4dfdc2ee9470d9e28eb8ff73f7c8b79b",
+                    "abbc93b45bede3cacf42f34f844bd188",
+                    "f5d80d3257cf28bbe76aae5675f6c583",
+                    "79b6361775d82efd59c0f3fac8ae5a76",
+                    "c724a76a617781fdb06fa8e8c601a44d"
                 ],
                 [
-                    "49b8ea86a7eeb339d3e2b68d8d38d8f2",
-                    "c006e1e66e46ccc154785ef29bb7b39e",
-                    "02ce1436920872ffbcdb5743c8fa4bb7",
-                    "dd5ffc55c817902dbb3d9cb5c93afb8c",
-                    "aa13a26648d129a9387c89ea194554cc",
-                    "743add8632199267cea01a0e4c89df68",
-                    "011f97fb77e100efc02576800b7db488",
-                    "6c6e42e3422ad67c42aaf510725ba0dd",
-                    "03c2266af110c412f0e4c9664072759f",
-                    "1fd50f56db93f22086c61b846cccddf7"
+                    "ec490c5381679a306b30867500e1965e",
+                    "2c57dc37e94666bc0f333aa33cc3cb38",
+                    "66cda3e144dcd84ffea744d05ecb0097",
+                    "509402a8ae84c6011c7b6bef7dcc2630",
+                    "402e7dfe740c6037449dfa4a0efcfd4d",
+                    "b4023d116b8f261d5547008c08374864",
+                    "56436c4ba4121c3514bd0cb07bb42e77",
+                    "0c27f2cda830d744fc9451a98a093a7c",
+                    "8849c9e88a27d1028a3f0c053751a589",
+                    "3adb58959e887e023390571739fe5bb2"
                 ]
             ],
             "prep_messages": [
-                "a2039299a848b33fd14b9d48635993986af272075a8e66101c22f6250a40fe88"
+                "64e9048bfa71ca7cc29a358ed476c7ca2af1d667cb53b1af1b543c2ad6117714"
             ],
             "prep_shares": [
                 [
-                    "badb8be5e28509757d7331affb9d323453ec5505ae56b525ad2c04b8d872269d87e5e50e23e85a5fe50bdcc0b908f6b0a1a1099c49c5e6c9bc965215adeff2960ce24cdf87197fe9882388ceed94c2e7125d831a3d8ff81b89a982fc341f64891552a935eebb4d55cbc5793ea9d24189c22972229024776188faf35f3f59596c42019350277327672d160354b7a527487b60df81a77c2b4e2914e78f21aa2baf",
-                    "badb8be5e28509757d7331affb9d323453ec5505ae56b525ad2c04b8d872269d70b6ba6a7095a4af8d54c0e0e16d345ed923e68c626589488ab4390920ec2341f51db32078e680165bdc7731126b3d18b967249f3b307df8055076122ea7428085f18fcf635f613399edc22069702ada6bb14284dc36e343ed5ed1d475af1597f67fcb6f497664db45fa95346edef4460f8fed3c3fc256d81d48eb3d0f4e7d8e"
+                    "da7a9d30911fa0532e6e674875bae131db031d2a6a9977c1d7153228f05265a56679cc979fa30684efd4027510ff58f56d3c1d50cf7e9b9eb2e46354f16b674a8d1d240afc43c4417e46872b273a885af8798ff07b2a88e8cb4e03d94964be27c7eb84e5f0366d824e2480e053097113739359cc73bbf83abc48cb43dfdbf43e22955ad6463e273d6f4dc3368ae00bb66f973e624f530c26fe1db1485cdb632f",
+                    "da7a9d30911fa0532e6e674875bae131db031d2a6a9977c1d7153228f05265a51ff08c44c74df85378ff5da84b83ebd2848f6620f3fe286bf21d277851282cdb74e2dbf503bc3bbe65b978d4d8c577a5d2ca27028cf6a55e0c0168cb2bd68735cf4e9c5205d755cd092d7c482e7202efa5fe9441c46353e221d7abf88594b1ce7f557646c775df3217c560ea114f254f783fa9275229042d61f2defc752e1207"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         },
         {
             "input_shares": [
-                "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",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f596be1556854daf1c28a12ba3ff4a85ff68b16b41da609657ddc266b137cafe9"
+                "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",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f761516be946546b487df4d2793729b4cad0a7b18ece4b5d3885b3354e34dd8f5"
             ],
             "measurement": [
                 [
@@ -88,46 +88,46 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "796a9d1b91384e57fd27cfa259af3d42",
-                    "718a346a3666404cbb4851812c8e3db7",
-                    "7c07c2c84bb39b5b43f2bf37c018907f",
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-                    "31fd99cb39d14c36d533948a68bdad5f",
-                    "f43c92bf096d47097f1edc818d8a3edc",
-                    "aa348577f2b5246bf725ea1f720824c9",
-                    "01761be1da2c7e34a6717ff95d6df3ac",
-                    "574a49e41e7522bada812b814c540102"
+                    "15b6f3ac7e9865cf78cf798aff1e69a1",
+                    "d5a823c816b99943d4ccc55cc33c34c7",
+                    "9b325c1ebb2327b0e557bb2fa134ff68",
+                    "b16bfd57517b39fec78494108233d9cf",
+                    "c1d182018bf39fc89f6205b5f10302b2",
+                    "b3736d00a7ceebfb230d87843ade54d0",
+                    "15ac8bf7ede462ed7eb7540ed0ff2c7a",
+                    "6935c9aefdff752ea9e6d5bde9082cb3",
+                    "9893e43f794fbf9df4397e8392057153",
+                    "c91676b48f5dfcbb29a1e3fee0ca0307"
                 ],
                 [
-                    "889562e46ec7b1a8e6d7305da650c2bd",
-                    "9075cb95c999bfb328b7ae7ed371c248",
-                    "85f83d37b44c64a4a00d40c83fe76f80",
-                    "3bae8a60b329bddd0f2a81d8e172096b",
-                    "b2a4c69c850a7b746e60eaccfe3594d1",
-                    "d1026634c62eb3c90ecc6b75974252a0",
-                    "0dc36d40f692b8f664e1237e7275c123",
-                    "57cb7a880d4adb94ecd915e08df7db36",
-                    "018ae41e25d381cb3d8e8006a2920c53",
-                    "aab5b61be18add45097ed47eb3abfefd"
+                    "ec490c5381679a306b30867500e1965e",
+                    "2c57dc37e94666bc0f333aa33cc3cb38",
+                    "66cda3e144dcd84ffea744d05ecb0097",
+                    "509402a8ae84c6011c7b6bef7dcc2630",
+                    "402e7dfe740c6037449dfa4a0efcfd4d",
+                    "4f8c92ff58311404c0f2787bc521ab2f",
+                    "ec537408121b9d126548abf12f00d385",
+                    "98ca365102008ad13a192a4216f7d34c",
+                    "6a6c1bc086b04062efc5817c6dfa8eac",
+                    "38e9894b70a20344ba5e1c011f35fcf8"
                 ]
             ],
             "prep_messages": [
-                "a5e601484d107482d3b52a8a85d89b2cd878e8153f977de4670ac8b4cd73abfe"
+                "0f5d03e9cc1521b1f502dfcf56073d91591b98908a6e70c2b9515f9dccb2f2c2"
             ],
             "prep_shares": [
                 [
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-                    "24e237dfc478f7784fd0c55144d6b88bdc52345fe469ed2283db11ef4e575da9bfc91c62236af16cd2a83f902500111705c359a9bfdd58faaf3d4022485e11dde2c6553a59386890cceb4754ed39361f751a2877034bd5fd6ab69ba41c948e55ca5dae0a9aa75ee4485e3a69009a68d96d8afae51e289aa7a86d9763a3fa666244139456627984df7757c3a65f97fe480f8fed3c3fc256d81d48eb3d0f4e7d8e"
+                    "d6a16ea13b52e96f982669bfb50c11b4acc89bc8638de8af45220486c6122699761516be946546b487df4d2793729b4cad0a7b18ece4b5d3885b3354e34dd8f5a83944bcb3656eaf883a692698b4bf813fd2af65a90a7c1e611b2b920740a2a1e85af9ec0e44be4651e6d5f1e932756dd133f78f2746c910ff8611bd3476f727216acee297f14fe805592aff1f4ceca71eb5fac3d62a5bf82a47d67478d649da",
+                    "d6a16ea13b52e96f982669bfb50c11b4acc89bc8638de8af45220486c612269919f63e6dd9448ce253d1586347bdbf21ac5aac8d1c20f23815ecc54eb4fecee059c6bb434c9a91505bc596d9674b407ee9aede9fdbb3cbfc820ae9fc50abc34a5efec07e8e9eb4714dbac2886b9bc9bdc2cbd99dbac59cb88eb6120d2e18693495d5098b1597be158ddf2f58aa614d13783fa9275229042d61f2defc752e1207"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         },
         {
             "input_shares": [
-                "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",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5fdd114721b24ba6d16fd08b695c6f506f0da608eea60ae71f53c14f9f8d4bf970"
+                "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",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5fa40e0968dafc98e8a20ba66164b2d681ab4e651299ed39200fa5c089aa80e33f"
             ],
             "measurement": [
                 [
@@ -139,40 +139,40 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "7a6a9d1b91384e57fd27cfa259af3d42",
-                    "718a346a3666404cbb4851812c8e3db7",
-                    "7c07c2c84bb39b5b43f2bf37c018907f",
-                    "c651759f4cd64222d4d57e271e8df694",
-                    "505b39637af5848b759f153301ca6b2e",
-                    "cb7492629d76ffd12e38550811dd91e6",
-                    "b1f0052c62852023af0e84830ff8ff6f",
-                    "89f32f74db40c9f18142f0515502c965",
-                    "408371188a9823432c4406ae420a8cec",
-                    "8b66f38684893702206c018a5704b450"
+                    "15b6f3ac7e9865cf78cf798aff1e69a1",
+                    "d5a823c816b99943d4ccc55cc33c34c7",
+                    "9b325c1ebb2327b0e557bb2fa134ff68",
+                    "b16bfd57517b39fec78494108233d9cf",
+                    "c1d182018bf39fc89f6205b5f10302b2",
+                    "749a4f5952ec306cc52efe9eb6b01242",
+                    "dc9468c5d9f6c92601dc2fa3f0b98e69",
+                    "44ac5b21546fa012c6900eb0285af3e3",
+                    "b065f9ffd7d122bd465eae4f698225d5",
+                    "a1a1e159e18d3e0e3f27a06af12f6248"
                 ],
                 [
-                    "889562e46ec7b1a8e6d7305da650c2bd",
-                    "9075cb95c999bfb328b7ae7ed371c248",
-                    "85f83d37b44c64a4a00d40c83fe76f80",
-                    "3bae8a60b329bddd0f2a81d8e172096b",
-                    "b2a4c69c850a7b746e60eaccfe3594d1",
-                    "368b6d9d6289002eb5c7aaf7ee226e19",
-                    "500ffad39d7adfdc34f17b7cf0070090",
-                    "780cd08b24bf360e62bd0faeaafd369a",
-                    "c17c8ee77567dcbcb7bbf951bdf57313",
-                    "76990c797b76c8fdc393fe75a8fb4baf"
+                    "ed490c5381679a306b30867500e1965e",
+                    "2c57dc37e94666bc0f333aa33cc3cb38",
+                    "66cda3e144dcd84ffea744d05ecb0097",
+                    "509402a8ae84c6011c7b6bef7dcc2630",
+                    "412e7dfe740c6037449dfa4a0efcfd4d",
+                    "8d65b0a6ad13cf931ed10161494fedbd",
+                    "256b973a260936d9e223d05c0f467196",
+                    "bd53a4deab905fed1d6ff14fd7a50c1c",
+                    "519a0600282edd429da151b0967dda2a",
+                    "605e1ea61e72c1f1a4d85f950ed09db7"
                 ]
             ],
             "prep_messages": [
-                "2f9a1a0b3c2eee55e5f9b61a7fb99a5405939d5340f030ba589dceba4b62e3fc"
+                "5d03c1d719fd1f99f4483fc26cdeee4f2c8dc847a4d1f0c7fb4b8b54080a9f4e"
             ],
             "prep_shares": [
                 [
-                    "14fd7bfa087d451cf3b5df70cba717db3edf07cc82f1659d57522ee10d4ba780dd114721b24ba6d16fd08b695c6f506f0da608eea60ae71f53c14f9f8d4bf9701f39aac5a6c7976f1714b8ab12c6c9e0b8094d0edea07625dcaa2ecd4d78e766d0e58afab77350a41b5502f611a9038a9c40b5a080b2b5f3fe84892f92401ef96c11e946553f4fda0baedb83253481ad70236b40ae1c482675fade4549ecbce4",
-                    "14fd7bfa087d451cf3b5df70cba717db3edf07cc82f1659d57522ee10d4ba780bfc91c62236af16cd2a83f902500111705c359a9bfdd58faaf3d4022485e11dde2c6553a59386890cceb4754ed39361f13bb5aab9a1effeeb24eca41154ebfa2ca5dae0a9aa75ee4485e3a69009a68d96fca5d62f089e52c756c4e0c1b375b6244139456627984df7757c3a65f97fe480f8fed3c3fc256d81d48eb3d0f4e7d8e"
+                    "2e479ac826e28c890edf51cc3fc804e624db734da1db2f3ed841f5d7779b29e8a40e0968dafc98e8a20ba66164b2d681ab4e651299ed39200fa5c089aa80e33fa83944bcb3656eaf883a692698b4bf814bb70bc919418bcead36456e28e2a5ab98799220b6186eaf97357243bd854096f0c24b91040d5d7fbb54d3cce664cace714b35aff01ca07fbf098ead4cf9207f132dca1c1d3842f410d0cab09f392e16",
+                    "2e479ac826e28c890edf51cc3fc804e624db734da1db2f3ed841f5d7779b29e875cdd16c78b72094aa3d1245de0f6d8d9cf647df7a1b0bf2fce7bc69b0b1f6b559c6bb434c9a91505bc596d9674b407e808dab29eedfa2780e1926364d58a0b1fec08e1740f554a0c01b8ae5c4f5326c2661bfaea921981eea54a62ed934afeff5123cf263401ee7197e68fb5007e464783fa9275229042d61f2defc752e1207"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticMultihotCountVec_0.json b/src/vdaf/test_vec/mastic/04/MasticMultihotCountVec_0.json
index 362a5e49..db138c53 100644
--- a/src/vdaf/test_vec/mastic/04/MasticMultihotCountVec_0.json
+++ b/src/vdaf/test_vec/mastic/04/MasticMultihotCountVec_0.json
@@ -15,8 +15,8 @@
         ]
     ],
     "agg_shares": [
-        "31b2b294e9499a1d0e451815cc76654fb1835383c71f748a66d0f28e90d689187b39ad92b9aa295c6a1668f4f71d44c8eaf1784984beb2f41898e2715452fb07a64797fc31245be220238c48e7841762bec2bc4407b8baceea92797c1c34cef6f31dfbc3918b461abef86501820d8a533fc64294af8b4eee987bf40e00ad83ebfeb3f476e91bba21b68cb5921dfb7d0d3975398e43e12f9938bb0ffddf87230a",
-        "d04d4d6b16b665e2d5bae7ea33899ab0507cac7c38e08b757d2f0d716f2976e786c6526d4655d6a379e9970b08e2bb37170e87b67b414d0bcb671d8eabad04f85bb86803cedba41dc3dc73b7187be89d443d43bbf8474531f96c8683e3cb31090ee2043c6e74b9e525079afe7df275acc339bd6b5074b1114b840bf1ff527c14044c0b8916e445de2d734a6de20482f2c88ac671bc1ed066ab44f0022078dcf5"
+        "296ce759fd30cb9e0d9ff314ff3dd242a95147902d723387c4998bb98679688e3665b83c76474e60cbaf765f4269fed161d7faafa2f672fcab0929210467b29f81a3050316e73f915bc50a6ae3070464ff7030ef3b3fc5decec586f831a70c6cbf681fac49d246b86afa475e544bfe025e0ed7e054cf9ee9ac5184145ffff136124a1b57ee27ee9a4efa717e5bb4cbc9903b1d1ff1d47db9da108ce7a7cca754",
+        "d89318a602cf3461d6600ceb00c22dbd58aeb86fd28dcc781f66744679869771cb9a47c389b8b19f185089a0bd96012ea02805505d098d0338f6d6defb984d60805cfafce918c06e883af5951cf8fb9b038fcf10c4c03a21153a7907ce58f3934297e053b62db9477905b8a1abb401fda4f1281fab30611637ae7beba0000ec9f0b5e4a811d8116595058e81a44b343671c4e2e00e2b824609ef7318583358ab"
     ],
     "chunk_length": 2,
     "ctx": "736f6d65206170706c69636174696f6e",
@@ -25,8 +25,8 @@
     "prep": [
         {
             "input_shares": [
-                "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",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5fb2ae35ff79209b48d31e08a8100c9750e7b5512216ab529e5cea6f5bce6edfac"
+                "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",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f5988e31ac1ed2ad49341ac47f78853d7a0f5420dd541699b0d01ee711bfa9f0d"
             ],
             "measurement": [
                 [
@@ -43,46 +43,46 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b847157958114cc6101d497272c7270d",
-                    "41f91e1991b9333e8f87a10d64484c61",
-                    "ff31ebc96df78d002724a8bc3705b448",
-                    "25a003aa37e86fd228c2634a36c50473",
-                    "57ec5d99b72ed656ab837615e6baab33",
-                    "8dc52279cde66d98155fe5f1b3762097",
-                    "00e16804881eff1023da897ff4824b77",
-                    "9591bd1cbdd52983a1550aef8da45f22",
-                    "fe3dd9950eef3bedf31a3699bf8d8a60",
-                    "e22af0a9246c0ddf5d39e47b93332208"
+                    "15b6f3ac7e9865cf78cf798aff1e69a1",
+                    "d5a823c816b99943d4ccc55cc33c34c7",
+                    "9b325c1ebb2327b0e557bb2fa134ff68",
+                    "b16bfd57517b39fec78494108233d9cf",
+                    "c1d182018bf39fc89f6205b5f10302b2",
+                    "4dfdc2ee9470d9e28eb8ff73f7c8b79b",
+                    "abbc93b45bede3cacf42f34f844bd188",
+                    "f5d80d3257cf28bbe76aae5675f6c583",
+                    "7ab6361775d82efd59c0f3fac8ae5a76",
+                    "c724a76a617781fdb06fa8e8c601a44d"
                 ],
                 [
-                    "49b8ea86a7eeb339d3e2b68d8d38d8f2",
-                    "c006e1e66e46ccc154785ef29bb7b39e",
-                    "02ce1436920872ffbcdb5743c8fa4bb7",
-                    "dc5ffc55c817902dbb3d9cb5c93afb8c",
-                    "aa13a26648d129a9387c89ea194554cc",
-                    "743add8632199267cea01a0e4c89df68",
-                    "011f97fb77e100efc02576800b7db488",
-                    "6c6e42e3422ad67c42aaf510725ba0dd",
-                    "03c2266af110c412f0e4c9664072759f",
-                    "1fd50f56db93f22086c61b846cccddf7"
+                    "ec490c5381679a306b30867500e1965e",
+                    "2c57dc37e94666bc0f333aa33cc3cb38",
+                    "66cda3e144dcd84ffea744d05ecb0097",
+                    "509402a8ae84c6011c7b6bef7dcc2630",
+                    "402e7dfe740c6037449dfa4a0efcfd4d",
+                    "b4023d116b8f261d5547008c08374864",
+                    "56436c4ba4121c3514bd0cb07bb42e77",
+                    "0c27f2cda830d744fc9451a98a093a7c",
+                    "8749c9e88a27d1028a3f0c053751a589",
+                    "3adb58959e887e023390571739fe5bb2"
                 ]
             ],
             "prep_messages": [
-                "516ba1a0b55edf78ebac4c83f23cab2c111735f8171b6527b137808d53fef6e5"
+                "6debfd8888c53025640ab3f2b238877a9677c54aa6ff58911117dbc07fc91aca"
             ],
             "prep_shares": [
                 [
-                    "13cf720bd9ab5e3eadb0c5d035d03bf01761e0ca6eef8e5dc3d00e24e00c5efcb2ae35ff79209b48d31e08a8100c9750e7b5512216ab529e5cea6f5bce6edfacdca921daa80dbfee526adbeb7b0cd47fd8dda27f40571d39627ab23204e639b58424e40d28175c5d9f078050c984d537cda836e8dd4cf30975b5e6d74291c4ef0ca839b55d7d7252b220ee34d84545b00084e0e17ec231e4053fe84f588362c1",
-                    "13cf720bd9ab5e3eadb0c5d035d03bf01761e0ca6eef8e5dc3d00e24e00c5efc446b6b3aa3d29295d7b843d198e85b6f1c0f5783ddbfeb02fa431c16996f0d2f2556de2557f240119195241484f32b80eead1f188a036fb683ac2321a522bf0f2f5d7ea7aa6d46dce3689c422f0cfb8b96ae640f1d0cdd0303f6754e0da1717a2dd9240b136c19f0a4efaa534d3ed7de0f8fed3c3fc256d81d48eb3d0f4e7d8e"
+                    "50b2da6f2e94dd1f91af29e84f210a253852c77c29c734ca94f68664e57ce4df5988e31ac1ed2ad49341ac47f78853d7a0f5420dd541699b0d01ee711bfa9f0da36078a456c7a4f520430db78d0d73645b1d70b7329844a8d19d4c4889fe2d93e4d5302dc4130a56b19af3e55edd0110abdcd1851483b6679e985ecfb4cbcf4c42e7aa92d41308c524107172e0bdf987810b35ec98fc2ff751fe506bb80e1c5d",
+                    "50b2da6f2e94dd1f91af29e84f210a253852c77c29c734ca94f68664e57ce4df52358c332dccef26a1ea7be47c03d16ef6ad0f484c25498cf9a301d833f6cb555e9f875ba9385b0ac3bcf24872f28c9b1fc4f54eb158282c676575aff4f5e9fb00efdd1c2edbc9dd74fbcbc84ebe950b4e82961160470dfef9e443c8868b12c64dd192823503ce2b85ec36a505fd71621007b5cb206b33d805b77a6c6736386b"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         },
         {
             "input_shares": [
-                "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",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f23bf3d58df45127beaf40f398bcd8d3a1a4693cf75ed75bf169786e6f5c81208"
+                "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",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5fb48b9dbe706c287c03df5799777fafc0ea378f22556d191266785cc81ab47b5c"
             ],
             "measurement": [
                 [
@@ -99,40 +99,40 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "796a9d1b91384e57fd27cfa259af3d42",
-                    "718a346a3666404cbb4851812c8e3db7",
-                    "7c07c2c84bb39b5b43f2bf37c018907f",
-                    "c651759f4cd64222d4d57e271e8df694",
-                    "4f5b39637af5848b759f153301ca6b2e",
-                    "31fd99cb39d14c36d533948a68bdad5f",
-                    "f43c92bf096d47097f1edc818d8a3edc",
-                    "aa348577f2b5246bf725ea1f720824c9",
-                    "01761be1da2c7e34a6717ff95d6df3ac",
-                    "574a49e41e7522bada812b814c540102"
+                    "15b6f3ac7e9865cf78cf798aff1e69a1",
+                    "d5a823c816b99943d4ccc55cc33c34c7",
+                    "9b325c1ebb2327b0e557bb2fa134ff68",
+                    "b16bfd57517b39fec78494108233d9cf",
+                    "c1d182018bf39fc89f6205b5f10302b2",
+                    "b3736d00a7ceebfb230d87843ade54d0",
+                    "15ac8bf7ede462ed7eb7540ed0ff2c7a",
+                    "6a35c9aefdff752ea9e6d5bde9082cb3",
+                    "9893e43f794fbf9df4397e8392057153",
+                    "c91676b48f5dfcbb29a1e3fee0ca0307"
                 ],
                 [
-                    "889562e46ec7b1a8e6d7305da650c2bd",
-                    "9075cb95c999bfb328b7ae7ed371c248",
-                    "85f83d37b44c64a4a00d40c83fe76f80",
-                    "3bae8a60b329bddd0f2a81d8e172096b",
-                    "b2a4c69c850a7b746e60eaccfe3594d1",
-                    "d1026634c62eb3c90ecc6b75974252a0",
-                    "0dc36d40f692b8f664e1237e7275c123",
-                    "58cb7a880d4adb94ecd915e08df7db36",
-                    "018ae41e25d381cb3d8e8006a2920c53",
-                    "aab5b61be18add45097ed47eb3abfefd"
+                    "ec490c5381679a306b30867500e1965e",
+                    "2c57dc37e94666bc0f333aa33cc3cb38",
+                    "66cda3e144dcd84ffea744d05ecb0097",
+                    "509402a8ae84c6011c7b6bef7dcc2630",
+                    "402e7dfe740c6037449dfa4a0efcfd4d",
+                    "4f8c92ff58311404c0f2787bc521ab2f",
+                    "ec537408121b9d126548abf12f00d385",
+                    "98ca365102008ad13a192a4216f7d34c",
+                    "6a6c1bc086b04062efc5817c6dfa8eac",
+                    "38e9894b70a20344ba5e1c011f35fcf8"
                 ]
             ],
             "prep_messages": [
-                "ca1edb6dd0febb7df2cb91b4a09a991177dabc762601f5d0214d4c4403bc3fa1"
+                "7d3e7039ef3beb9524c1082284223f8a51c8fc1fe4c3c74e14cc2d065781384e"
             ],
             "prep_shares": [
                 [
-                    "d0341e09229512904f61397b7b2608e347270a516a97a4c9618c720ec91d0d5623bf3d58df45127beaf40f398bcd8d3a1a4693cf75ed75bf169786e6f5c812081973512a3b281f1f8199934cc618a55f160b058710c500e89b0c27adb4787f944266a240951ebb43569fab902740c154500c6d77c5ddaf217ba609447e9d9122f991ef48474b35882bd9561bed998a14fe2af892e7bee508e35ea50d8daefd04",
-                    "d0341e09229512904f61397b7b2608e347270a516a97a4c9618c720ec91d0d56959d4cc705237a4d1339e3ee028ba084bff6ca1f8be876d0c2048a6a032f807ae88caed5c4d7e0e062666cb339e75aa09a190eb381ebcc98c633d153d3befca5711bc0743d66e7f52cd17002d1500f6f6996fa70287243c2384b527b37a4ca243fef6e77299e56ba4737426d38ea917a0f8fed3c3fc256d81d48eb3d0f4e7d8e"
+                    "065101cc7c5581e90cc1ecb19ed234e4a0a19cc32d735f9f71b66a989b91b7deb48b9dbe706c287c03df5799777fafc0ea378f22556d191266785cc81ab47b5c5c674649f7a17c6a27f03d696a5ca868fddce55a35c9c7069e0eeb8dce4d4b33e0e9aaeac1f815426773612fccba5d00230514b014bce44a643497a22e48d6349160750d2c35b08275375058aa10378b2f843ded66bfbd77a78b2369690ea51f",
+                    "065101cc7c5581e90cc1ecb19ed234e4a0a19cc32d735f9f71b66a989b91b7def9888742c67c90acb2402a36da7287c2afce40a2b4b50832fd6224982888bcdaa598b9b6085e8395bc0fc29695a35797601528696c40258c9bf4b0b40104d32904db635f30f6bdf1be225e7fe1e0391b8ad490b3ebe366e007a451e146e69a5bfe57c807dee1256e34c557bf3baa345f1007b5cb206b33d805b77a6c6736386b"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticSumVec_0.json b/src/vdaf/test_vec/mastic/04/MasticSumVec_0.json
index 0a00e8f5..3931d951 100644
--- a/src/vdaf/test_vec/mastic/04/MasticSumVec_0.json
+++ b/src/vdaf/test_vec/mastic/04/MasticSumVec_0.json
@@ -8,8 +8,8 @@
         ]
     ],
     "agg_shares": [
-        "0cb1ef756426b45bdb6e6b69e9b8c22e6b0a08c4727c62e83cd7642a8e0900715bcee1e02f3ec60f0553eb0c1bd44dd50359481ec72bafcbdc6b6f2e72b5da32",
-        "f74e108a9bd94ba40891949616473dd196f5f73b8d839d17a7289bd571f6ff8ea7311e1fd0c139f0deac14f3e42bb22affa6b7e138d45034079490d18d4a25cd"
+        "16edfdeaad2211ff7d6bd37ca50883435382df6e016602381c2c553b5fa418b342b0ab075313daed52aca2dc52d3593e29db323fe0126ee1ed22f3db4ac51265",
+        "ed12021552ddee0066942c835af77cbcae7d2091fe99fdc7c7d3aac4a05be74cc04f54f8acec251291535d23ad2ca6c1d924cdc01fed911ef6dc0c24b53aed9a"
     ],
     "bits": 1,
     "chunk_length": 1,
@@ -18,8 +18,8 @@
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f17e4527f6f16e586809caa63d4a3b11ce77f155f4fd6f965eae9970c93ceb0f1a2fae1ea7971d7419679bf3cc6d8c8347be7c7ee8c16650ba80e985a85c0a3dd67b6299ee2ae1235df932fbf5c68485306b3011e166f778db5e31c113bae4be009f4aba5dfc8d02c298ef09339a835bb3552690e69592d99a9661b7bd205f9b05adf6e7754a2b76c2ea50d2689f3e0d7606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f2cf3638b71f4158c4c298ff47a26647d1ddd72cd8f6997b9852e84b17c5fd440",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5fa167557af229cbf23350e032b96f22c2bb25f04a61b90ea8d45a91364b81931d"
+                "000102030405060708090a0b0c0d0e0fe17870a3c2662f845fe7bb009eb69adc1e19e27b2a4ded86376bf3f91b6d481b4b4f3ff582043685fec47bd2a68443dfc7fb5c40a35101ab3b647084629809813a163e6c1fc80bf9946c876ec52cead4997bcea75a86585883287590b61c4e3e53ad3666c4a2d2e5aab46766c7673e0bee336a28bda0f239a4171db8364b94b374c9e6c118c4db50a3a31817e54207fe606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7fb65b3467a80c2c9463306f865a3e286efa8cf888bcfc8bc2a0a3c949e431a6fe",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5fe5f8a3048906eb1ffc00a65aee4b5666d791da455536f799fcc1ed0ff4784095"
             ],
             "measurement": [
                 [
@@ -49,34 +49,34 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "86d8f73a3213daad6db7b5b4745c6117",
-                    "36050462393e3174906b3215c70480b8",
-                    "2de770f0171fe38782a975860deaa66a",
-                    "822c248fe395d765eeb53717b95a6d19"
+                    "8bf67ef5569188ffbeb569be5284c121",
+                    "2ac16fb70033011c0096aa9d2f528cd9",
+                    "21d8d583a909ed762956516ea9e92c1f",
+                    "956d991f7009b7f06891f96da56289b2"
                 ],
                 [
-                    "7c2708c5cdec255276484a4b8ba39ee8",
-                    "cbfafb9dc6c1ce8b5394cdea38fb7f47",
-                    "d4188f0fe8e01c7861568a79f2155995",
-                    "80d3db701c6a289af549c8e846a592e6"
+                    "7709810aa96e7700254a9641ad7b3ede",
+                    "d73e9048ffccfee3e3695562d0ad7326",
+                    "e0272a7c56f61289baa9ae915616d3e0",
+                    "6d9266e08ff6480f7b6e06925a9d764d"
                 ]
             ],
             "prep_messages": [
-                "c2c3b29caab586e426346a4fde075ccd9569e8a3b2c3e05461f12ce0b9618dd1"
+                "73172e209d669b084a166fb9ea302bef13f471b0e65b4840b87e9a445f2fb5a2"
             ],
             "prep_shares": [
                 [
-                    "2ec7f8d9dc14f4a923edab9f963d24bdb851830b77d41adf190de6975411358ba167557af229cbf23350e032b96f22c2bb25f04a61b90ea8d45a91364b81931d8b49de80c97e24780d8502a686b2e935a31274af3e642d2daf4120ad7cffc56d5b4d65d7d1b89ad439991ff649bbdf3ba2a713bafc93f81159393349a8d8664f",
-                    "2ec7f8d9dc14f4a923edab9f963d24bdb851830b77d41adf190de6975411358b2cf3638b71f4158c4c298ff47a26647d1ddd72cd8f6997b9852e84b17c5fd44076b6217f3681db87d67afd59794d16ca8fedd157dfc40ba50227bbdebfeb3975f7409453a5a3cc5e3cf84bb8ed0beae094603dfaa87b0589d440449e1a130728"
+                    "d19b360b521e772b9bbbbcf95afeceaa84742fb72113096667b6b5c2280c266be5f8a3048906eb1ffc00a65aee4b5666d791da455536f799fcc1ed0ff4784095df6aa7d3e2f0e5b944b807585055a879cb326979fd4c0f1873f2ee0008eb134929f150f0421d01edf59c9e517c11a97a606d8c26e8a5c33ca6c3a26823d51f93",
+                    "d19b360b521e772b9bbbbcf95afeceaa84742fb72113096667b6b5c2280c266bb65b3467a80c2c9463306f865a3e286efa8cf888bcfc8bc2a0a3c949e431a6fe2295582c1d0f1a469f47f8a7afaa5786b4fdfd0a2c5fc6f551ceced8411fe28ead2c86434296538b7e188847ca1539ad24c2e939cf9c47e6f6088e485a86ecfa"
                 ]
             ],
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+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f17e4527f6f16e586809caa63d4a3b11ce77f155f4fd6f965eae9970c93ceb0f1d045bb2018538007aea44e10844e2ab990e8976112285a99625d31cad6a20d1076e7f2aeb9d1ea779d54f82826e0329206b3011e166f778db5e31c113bae4be0dba8d26f41e72767116361c07b32d4361f51999be347380b0b18820b81238f7e4baea5667d7fdf2970e444bcbf7bf698606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f9a8870bb05261dc57b296454fd19048b55ea1cea2bec95e6c8ad966a6af56e1e",
-                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f08cf7ead058c76fafc52057f44e817fceeace3db1adf3cf70dfacabadb373039"
+                "000102030405060708090a0b0c0d0e0fe17870a3c2662f845fe7bb009eb69adc1e19e27b2a4ded86376bf3f91b6d481bc8a7295ae0e01a5bf24294098a10fd959f9a35d2aa6ab0a0514c6e7ef5c326bf23f866540e7c4eebbb51806affe4af36997bcea75a86585883287590b61c4e3ed6544c0167c6ed0fb7364f2fe4db845416959196b58743448e2f1fbea31f77758ae7bdd92910995e98be1f1bab8a419c606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7fb65b3467a80c2c9463306f865a3e286efa8cf888bcfc8bc2a0a3c949e431a6fe",
+                "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f4b477c67d4961dc5b6a5f34ae1856787977bdbdb98e06d267e56032ee73ddfe4"
             ],
             "measurement": [
                 [
@@ -106,28 +106,28 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "86d8f73a3213daad6db7b5b4745c6117",
-                    "36050462393e3174906b3215c70480b8",
-                    "2ee770f0171fe38782a975860deaa66a",
-                    "812c248fe395d765eeb53717b95a6d19"
+                    "8bf67ef5569188ffbeb569be5284c121",
+                    "2ac16fb70033011c0096aa9d2f528cd9",
+                    "21d8d583a909ed762956516ea9e92c1f",
+                    "956d991f7009b7f06891f96da56289b2"
                 ],
                 [
-                    "7c2708c5cdec255276484a4b8ba39ee8",
-                    "cbfafb9dc6c1ce8b5394cdea38fb7f47",
-                    "d4188f0fe8e01c7861568a79f2155995",
-                    "80d3db701c6a289af549c8e846a592e6"
+                    "7709810aa96e7700254a9641ad7b3ede",
+                    "d73e9048ffccfee3e3695562d0ad7326",
+                    "e1272a7c56f61289baa9ae915616d3e0",
+                    "6c9266e08ff6480f7b6e06925a9d764d"
                 ]
             ],
             "prep_messages": [
-                "f399e6c490265469ba3f1d47325ad3a7c868a13eaa84fa143dbe974f6ab84f82"
+                "51805b08614ed2d459561461ab35fb6a704fd7c4ed820283e5daa79910cd944f"
             ],
             "prep_shares": [
                 [
-                    "ca5b4389086e0dd226c472477a199274f89a1ace2add61d251f8825613b5f7c108cf7ead058c76fafc52057f44e817fceeace3db1adf3cf70dfacabadb3730398b49de80c97e24780d8502a686b2e9358d76b2cacf641c605a457de7430081bfedff73c49d45d223ea125b4d230407f3021408dd9e8b849383e88ce3abb21ece",
-                    "ca5b4389086e0dd226c472477a199274f89a1ace2add61d251f8825613b5f7c19a8870bb05261dc57b296454fd19048b55ea1cea2bec95e6c8ad966a6af56e1e76b6217f3681db87d67afd59794d16cacb6510ad0c351936e67128f0397e4b81d4db76790d8a5dc0bf04d5093b7a9b7294603dfaa87b0589d440449e1a130728"
+                    "6b18b551ebf2ad13ce496611755419ea42834694a73f150f9e6f476575675dbc4b477c67d4961dc5b6a5f34ae1856787977bdbdb98e06d267e56032ee73ddfe4df6aa7d3e2f0e5b944b807585055a8797137ae699fe70b3ac77eec6cfb8354f1c432135d1168cd2a5fcffbd7883c3e015e6534f244995df54b82956c2e5b020f",
+                    "6b18b551ebf2ad13ce496611755419ea42834694a73f150f9e6f476575675dbcb65b3467a80c2c9463306f865a3e286efa8cf888bcfc8bc2a0a3c949e431a6fe2295582c1d0f1a469f47f8a7afaa5786e117dd1868243031d13b1176b95ee08bad2c86434296538b7e188847ca1539ad24c2e939cf9c47e6f6088e485a86ecfa"
                 ]
             ],
-            "public_share": "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",
+            "public_share": "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",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticSum_0.json b/src/vdaf/test_vec/mastic/04/MasticSum_0.json
index e6e98e10..8d4829ba 100644
--- a/src/vdaf/test_vec/mastic/04/MasticSum_0.json
+++ b/src/vdaf/test_vec/mastic/04/MasticSum_0.json
@@ -5,15 +5,15 @@
         10
     ],
     "agg_shares": [
-        "7e05f0866763c2feaf7647dcb843b13072343f302facddadc78e462c0eabee95",
-        "85fa0f79979c3d015d89b82346bc4ecf92cbc0cfcf5322524471b9d3f054116a"
+        "361271acc2128c381055aa372926bdd2cc41c987255d4ba62cb1ad1e27be9c61",
+        "cded8e533ced73c7fcaa55c8d5d9422d38be3678d9a2b459df4e52e1d741639e"
     ],
     "ctx": "736f6d65206170706c69636174696f6e",
     "max_measurement": 7,
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e58651db64c0870fe979b88cd1dd90df1ac8444d045fea61a47fb263015247fcaf787e2b90be34a1df891ba55d525d6b98ad817e25b6d22c51cbfaed0c4dd0e5b61e59da5246272e484f5b8e30c9e57f6d7081e78d9cb5fb104598f3fdfed378ea4f8189eea85c8482e733fd446b5a3fec502ca45cb6163eaf44",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf828506e274f38a239d5106b40f378a25ac38711a91e8a77b08be56ecb03ae9c5c589eb2a9d149b93c669da101918851a4bc59ef00f1cabf66e8e7cf8aaa9edd2595509bdd86ace3110d7db8a1d3a4e9caa47d7e09d4aec06e11f4acdb53d407678ec989220267501198fb6293d2b1d1aa29dca0a078a858042",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -26,16 +26,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b7f9921c929a6d97",
-                    "49fd19775bb0b10c",
-                    "4ad73fa33cefc522",
-                    "c24f416f352296b7"
+                    "3e9d16bcf3364f0b",
+                    "9daabba4a107595d",
+                    "b5f87e0adad194cb",
+                    "65b17d05f29eae4d"
                 ],
                 [
-                    "4a066de36c659268",
-                    "b802e688a34f4ef3",
-                    "b828c05cc2103add",
-                    "40b0be90c9dd6948"
+                    "c362e9430bc9b0f4",
+                    "6455445b5df8a6a2",
+                    "4d0781f5242e6b34",
+                    "9d4e82fa0c6151b2"
                 ]
             ],
             "prep_messages": [
@@ -43,16 +43,16 @@
             ],
             "prep_shares": [
                 [
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a59017c1892291b3663b7b1b0a66c1d8149facf96acf610675",
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a571e83e76dc6e4c99e7492648cb46ef6f5189cfcee4d86679"
+                    "dbfab65b0c929bd337e82600072690dba6fac762922bf22e3b0a55c45ccdacdff6ca3ba3979c6d9bc1ee26d7648f311055dfa95908e5408a",
+                    "dbfab65b0c929bd337e82600072690dba6fac762922bf22e3b0a55c45ccdacdf0b35c45c6763926482c0cf23edfdebebacfd2923b1edac52"
                 ]
             ],
-            "public_share": "0b40eac2eab18af3ac91184d5f466dc0fe1e9b00a994e6abffb9486a9d48a9623b3101fa6350e7a9831bfb7cf323506e336b041d0b1dea4d694586884d91de700414c2257b5c446ba6a8236cbf8dc1246c45561fe9c6ce88755d928f520ed8fbfe0056b2dbdc41b30ad12234ba51abe53e48ac5502791e925778f0e3cd6bac3cb7896346d56fff420adfff3984005c2734bc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e295828074afb0c0c610f3d0139e2c7e5f1762a72cc1bd0036307bce53dc15c49d419ac4",
+            "public_share": "0e30118b55bf77ff34817d80025c5c736b1ee2188425350e71cc1dc5a779de3e6ff0676312c362381937b2713cf2d65c6b8292f0d3c4d16ea7ffe74d3745a519e3ffd22bf9633b4251dd48e7f6ccc71ed819ba5f88363856a9fd5e3a8400fe1b3f71da0726d672f55f6a6225aecfbb419c5cfa5a405f278e9f03a185e3eaa238ec8f7cf8395eadd3adafa9d2b0271cbcec796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314bead370e09dc18618bd5cc3c8825338a085d4790108cbeb9ecdb914466664cfa0",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e5869309b0269f22661ef86cb9e8f89d2d77c5e2efd2cc32a8ccac607ebea9b37eba78281d339768aec3691e9990768a4e79b7b77b503c009f13faed0c4dd0e5b61e17ac07e00f1bcbaa1bae48be7dc15ac10152a228d22a0df89ef6809271c11b0e878c6134fabcb3ade583092d41203685f66a061cad6a61fc",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf82a82426dbbbffbdd2b1511a21e305bd947d41b65a8123215ecd5a7e0713d6ab2398efccfbec97791c6ecfd43ac5df9d1b6db4b23e92a79c398e7cf8aaa9edd25933eb7872a15997da7790240c8ed204c2020745d4b170618b0f463b5f6653901add94f0c14d781bc38ac1651b7ec296d1f5b448d81389da77",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -65,16 +65,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "2d8c9b18d8c93c1c",
-                    "6ebf7c3b53194e05",
-                    "4ad73fa33cefc522",
-                    "c24f416f352296b7"
+                    "3e9d16bcf3364f0b",
+                    "9daabba4a107595d",
+                    "d82b2634ca73c6a1",
+                    "7b4e1a07a870483c"
                 ],
                 [
-                    "d57364e72636c3e3",
-                    "994083c4abe6b1fa",
-                    "b728c05cc2103add",
-                    "3fb0be90c9dd6948"
+                    "c462e9430bc9b0f4",
+                    "6a55445b5df8a6a2",
+                    "29d4d9cb348c395e",
+                    "86b1e5f8568fb7c3"
                 ]
             ],
             "prep_messages": [
@@ -82,16 +82,16 @@
             ],
             "prep_shares": [
                 [
-                    "bbad07ad1fe6766323186683e700a0fe625bcb639575afa529a923f8611a16ce10159caaadecb8643e0e95fd4ab2fedc09f309ad19293222",
-                    "bbad07ad1fe6766323186683e700a0fe625bcb639575afa529a923f8611a16cef1ea63555113479b9696b0cc1dc9653e5189cfcee4d86679"
+                    "0078b09d2f312ad3cbf8cd4120da08b04c1147cd188cd2b1cef6358b875ed94ca91e63323176f162b67ab687cf5efb3360e9974583e64f7d",
+                    "0078b09d2f312ad3cbf8cd4120da08b04c1147cd188cd2b1cef6358b875ed94c58e19ccdcd890e9d73aea3e248aa96a3acfd2923b1edac52"
                 ]
             ],
-            "public_share": "00fe948733e8abb0c8d8614ea90a1595630a50514ca8f19ef156afb335dcb1ee26a793026096167908382daf72f2195bb8ee7ecbbafa8b9fce066dfd466cf5b32e74e915792e57adab8d13c281ae554d9b720479c1685940ebdb0f8d3bbfc562cb31fd92a760425d26bc410ee307b3f2e44935baad354bcb0de46a58ceba3f7428cdcbd26d5e912d7adacd3cb42c4f4271cbd84d9b5607a7494f9995614aa3dd1cb065d58131a088e21ba6c87c4cc795ef22c376bd8f303ec420aad19361730e832916aac966b7345e93c94482a0e96e9a",
+            "public_share": "0d8031b3e41fc4b2fe2a3f77de06db7fe0806225f5601afc6f1578ceb8a6d174c5149b0a3cb2046aef8f96793a0ac548f1f980e043c60626e9f31e3b00ac83699c9f98ab4988ffed0a6ad6b98f40c7e3ad9858ee70db74759123fcc6eebe7973c8a5500651955a50069b3afabe4dc527f86f939793cc954b805074d3d2e842b04388a258931111010ee45895998b15b0ace0afadcff718420f50c61959f8f199ad4d1339a3ff4c8913eb9cd68dbbffbea4adde68e0fd7ed387c66d7892e6bb76802fbf7bcea5df898350bd19c4d4b44b6f",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e586d637fbacb535e3a25e57ce2fba480377b0e99d5af49f0f7af4914cb85e0f2d1dc059db344cc45c1e3c654233793b27ec5710d730e0f16265faed0c4dd0e5b61ed47dbc59f9074e26b5c33377bc1685c1154bf4a0abbda54a56c5b298bc656dab3e5ba33246610553123d608a3e6f5d125612ab3b09799daa",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf82cb426a61847458e807eb02ddb4519959d4370d0895e25470e1743017035e60fbac096f13dd1f2eec1b508e7ef41b763e4cf6410f38d5b72c8e7cf8aaa9edd25910cd34ecd8e4fcc421f73b50bc8628fdab10ee269eb12d79fc2b894f75cbdb42ca7a4eaa5cf066f3dd40acd74e86beae1673b9076e5bbf84",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -104,16 +104,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b7f9921c929a6d97",
-                    "43fd19775bb0b10c",
-                    "4ad73fa33cefc522",
-                    "c24f416f352296b7"
+                    "3e9d16bcf3364f0b",
+                    "9daabba4a107595d",
+                    "b5f87e0adad194cb",
+                    "6bb17d05f29eae4d"
                 ],
                 [
-                    "4a066de36c659268",
-                    "be02e688a34f4ef3",
-                    "b828c05cc2103add",
-                    "46b0be90c9dd6948"
+                    "c362e9430bc9b0f4",
+                    "6455445b5df8a6a2",
+                    "4d0781f5242e6b34",
+                    "9d4e82fa0c6151b2"
                 ]
             ],
             "prep_messages": [
@@ -121,16 +121,16 @@
             ],
             "prep_shares": [
                 [
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a59017c1892291b366ff3f21ca01047a43b341df26ef3d7319",
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a571e83e76dc6e4c995fc01ac893c1ac125189cfcee4d86679"
+                    "dbfab65b0c929bd337e82600072690dba6fac762922bf22e3b0a55c45ccdacdff6ca3ba3979c6d9bd2dc88b276af5ea0c3412c092d0a88c8",
+                    "dbfab65b0c929bd337e82600072690dba6fac762922bf22e3b0a55c45ccdacdf0b35c45c6763926482c0cf23edfdebebacfd2923b1edac52"
                 ]
             ],
-            "public_share": "0740eac2eab18af3ac91184d5f466dc0fe7844c18adc9409938036d9d6ce63de0d3101fa6350e7a9831bfb7cf323506e336a041d0b1dea4d694486884d91de700414c2257b5c446ba6a7236cbf8dc1246c44561fe9c6ce88752096d4c17bc7079700bcfc59f3a52cd2060fd9b4dc5a207207d65a5d9fe397fd158c6fd19e3555fef0054572b6bfc8b02b175ccec2cafd06bc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e2958280aa0c1d4d8f1c113199e4b3ee9fb2a63bff1560c494e475989550af2b66d66f5e",
+            "public_share": "0230118b55bf77ff34817d80025c5c736b2e06468c12c19b02abfeeaa474bb89aaf0676312c362381937b2713cf2d65c6b8392f0d3c4d16ea700e84d3745a519e3ffd22bf9633b4251de48e7f6ccc71ed81aba5f88363856a95bce328398aa96a3f9b0010cc6a5517be77b78ba8da87593044ec5e5e284b8a88f2d117cae42aa78680493364ef127cdb2ed8b4fffb823aa796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314ba5c3ff6bfdd20fe1066ca5104db5200b8b04f73e5ed07db54576e02fea9466de",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e5869309b0269f22661efcf6c6dbfe11ca180b9b382ceab1c112328ab83847beb71cfe5137ad3473e725c184438e6184c7e6714c81d41e059505faed0c4dd0e5b61e17ac07e00f1bcbaa16243bcb784dbe1fba9959cfb5abf3b118cd4618d4b6e2ab006347ba5db27a4b8d1d5f2f5626bd173bd60098cb656b0a",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf82a82426dbbbffbdd23a09014d7ba9838f2917d1ece133828ef2d4d54b70d76530bd6904404a993329e9d71868253fe29a2bdb4af29a737bce8e7cf8aaa9edd25933eb7872a15997daeed83de0f52e3ec756312a425160005beacbe31a0952d60db81ab97df07661b60fb921ee1d635252388eb0240abdfbe2",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -143,16 +143,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "2d8c9b18d8c93c1c",
-                    "6dbf7c3b53194e05",
-                    "4ad73fa33cefc522",
-                    "c24f416f352296b7"
+                    "3e9d16bcf3364f0b",
+                    "9daabba4a107595d",
+                    "d82b2634ca73c6a1",
+                    "7c4e1a07a870483c"
                 ],
                 [
-                    "d57364e72636c3e3",
-                    "994083c4abe6b1fa",
-                    "b728c05cc2103add",
-                    "3fb0be90c9dd6948"
+                    "c462e9430bc9b0f4",
+                    "6955445b5df8a6a2",
+                    "29d4d9cb348c395e",
+                    "85b1e5f8568fb7c3"
                 ]
             ],
             "prep_messages": [
@@ -160,16 +160,16 @@
             ],
             "prep_shares": [
                 [
-                    "bbad07ad1fe6766323186683e700a0fe625bcb639575afa529a923f8611a16ce10159caaadecb864cbb3d048bd2a9f103338413af8303c67",
-                    "bbad07ad1fe6766323186683e700a0fe625bcb639575afa529a923f8611a16cef1ea63555113479b9696b0cc1dc9653e5189cfcee4d86679"
+                    "0078b09d2f312ad3cbf8cd4120da08b04c1147cd188cd2b1cef6358b875ed94ca91e63323176f1622efb96b09fb55793a607ef1f0823a11d",
+                    "0078b09d2f312ad3cbf8cd4120da08b04c1147cd188cd2b1cef6358b875ed94c58e19ccdcd890e9d84ade290a7fcdde4acfd2923b1edac52"
                 ]
             ],
-            "public_share": "0cfe948733e8abb0c8d8614ea90a159563bab5b3fb27db24b52744c7d7daf017e1a793026096167908392daf72f2195bb8ed7ecbbafa8b9fce066dfd466cf5b32e75e915792e57adab8c13c281ae554d9b720479c1685940eb3f9894a45c20b02fd7f8d129b722799ffe8d9a76af9a19cb174512acb3dd097a04acadd1d0b4cfa15fafcc3b7a9788dd99c0e67c7de39c62cbd84d9b5607a7494f9995614aa3dd1cb065d58131a088e21ba6c87c4cc795ef1562ce16676335aa194125a674d8709b78e1b9382e44b462574de20b7305bfdd",
+            "public_share": "018031b3e41fc4b2fe2a3f77de06db7fe06eb6ffd9b0e2083236efcc45c94d7ca7149b0a3cb2046aef8e96793a0ac548f1fa80e043c60626e9f31e3b00ac83699c9e98ab4988ffed0a6bd6b98f40c7e3ad9858ee70db74759162d5e495135c2e58052f8f3619889294d3511df162b3c0be0b6fbcfeaadbe99077fd406091d3855f6ef81fa1d1bf39ddcd8680d92c934c8de0afadcff718420f50c61959f8f199ad4d1339a3ff4c8913eb9cd68dbbffbea4a0e969f28f3d02f792beb3d3b6f111af6b5d8da4008aee31ad34cf7380cf6d50",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e58651db64c0870fe9799302c4daab7b7e36f594a30dd6da8a313b3ae7c79ae17626f701764498a6a627c33ea35472711f40dfe9274ad81f5bc1faed0c4dd0e5b61e59da5246272e484f7f183ecccbe30902d09feeedc9822a930f1d1889809323a207b30823fa7ebb498b63ff68453965bece385a22114ba54e",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf828506e274f38a239da84ecdd3bef65ec1859be7068f8f1ad0a9dcb45ccdd70bc96471f358b7a9d9b9efd1bcebb625d6cb20786074fad617c28e7cf8aaa9edd2595509bdd86ace311080937159b2e16295faac1328a404681934c4040aab5130751113ca648366bb2509bf7d6a8c7c5e2143f19aa2aa595fef",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -182,16 +182,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b7f9921c929a6d97",
-                    "48fd19775bb0b10c",
-                    "4ad73fa33cefc522",
-                    "c24f416f352296b7"
+                    "3e9d16bcf3364f0b",
+                    "9daabba4a107595d",
+                    "b5f87e0adad194cb",
+                    "66b17d05f29eae4d"
                 ],
                 [
-                    "4a066de36c659268",
-                    "b902e688a34f4ef3",
-                    "b828c05cc2103add",
-                    "41b0be90c9dd6948"
+                    "c362e9430bc9b0f4",
+                    "6455445b5df8a6a2",
+                    "4d0781f5242e6b34",
+                    "9d4e82fa0c6151b2"
                 ]
             ],
             "prep_messages": [
@@ -199,11 +199,11 @@
             ],
             "prep_shares": [
                 [
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a59017c1892291b366c9205755d7397948db599905f6bedd7e",
-                    "8fbf7bd1e6d11830692bd828041433ff60905d220dd23f1e4d9809e3b38276a571e83e76dc6e4c99cbfeaeb1e855ae085189cfcee4d86679"
+                    "dbfab65b0c929bd337e82600072690dba6fac762922bf22e3b0a55c45ccdacdff6ca3ba3979c6d9b396f070035e68d6f81499f37f8908d3a",
+                    "dbfab65b0c929bd337e82600072690dba6fac762922bf22e3b0a55c45ccdacdf0b35c45c6763926482c0cf23edfdebebacfd2923b1edac52"
                 ]
             ],
-            "public_share": "0740eac2eab18af3ac91184d5f466dc0fe7844c18adc9409938036d9d6ce63de0d3101fa6350e7a9831cfb7cf323506e336a041d0b1dea4d694586884d91de700415c2257b5c446ba6a7236cbf8dc1246c45561fe9c6ce88752096d4c17bc7079701bcfc59f3a52cd2060fd9b4dc5a207208d65a5d9fe397fd168c6fd19e3555fef0054572b6bfc8b02c175ccec2cafd06bc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e2958280aa0c1d4d8f1c113199e4b3ee9fb2a63bff1560c494e475989550af2b66d66f5e",
+            "public_share": "0230118b55bf77ff34817d80025c5c736b2e06468c12c19b02abfeeaa474bb89aaf0676312c362381936b2713cf2d65c6b8392f0d3c4d16ea7ffe74d3745a519e3fed22bf9633b4251de48e7f6ccc71ed819ba5f88363856a95bce328398aa96a3f8b0010cc6a5517be77b78ba8da87593034ec5e5e284b8a88e2d117cae42aa78680493364ef127cdb1ed8b4fffb823aa796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314ba5c3ff6bfdd20fe1066ca5104db5200b8b04f73e5ed07db54576e02fea9466de",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         }
     ],
diff --git a/src/vdaf/test_vec/mastic/04/MasticSum_1.json b/src/vdaf/test_vec/mastic/04/MasticSum_1.json
index b14e5bea..89a775f1 100644
--- a/src/vdaf/test_vec/mastic/04/MasticSum_1.json
+++ b/src/vdaf/test_vec/mastic/04/MasticSum_1.json
@@ -5,15 +5,15 @@
         3
     ],
     "agg_shares": [
-        "4ceded43588b07d866fd6ec5f858d2f426b8bd0ce369beb5cf337002982e9b28",
-        "b61212bca674f8279d02913a06a72d0bdd4742f31b96414a35cc8ffd66d164d7"
+        "658ec2607dfafb0ca5a5c585e6d50ecbcfeba8366517368e6090fac966429f52",
+        "9d713d9f810504f35e5a3a7a182af134341457c999e8c971a46f053698bd60ad"
     ],
     "ctx": "736f6d65206170706c69636174696f6e",
     "max_measurement": 3,
     "prep": [
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e5869309b0269f22661ec501deeeb29b70d7e4a55f3f8e4b68d1328ab83847beb71cfe5137ad3473e725898f5aa1160e6ea52a5788e7e29e3bc4faed0c4dd0e5b61e17ac07e00f1bcbaa4e1924b8c3c31761e28e32bc10124df318cd4618d4b6e2ab006347ba5db27a4bc512481ca19c165983cbf98406ccc44b",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf82a82426dbbbffbdd219a5c9c1363398fc18b3a9618dcd96fbf2d4d54b70d76530bd6904404a993329c773e1dce1c8f607f9760367670d903b8e7cf8aaa9edd25933eb7872a15997da0f3d756b3aa5295a689551cda4c6ebedeacbe31a0952d60db81ab97df07661b6311d597961d93de569f2f7af3e23e775",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -26,16 +26,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "b747157958114cc6",
-                    "ae0f87a4953a8f89",
-                    "8dc52279cde66d98",
-                    "1521b7fac3b31eb9"
+                    "15b6f3ac7e9865cf",
+                    "2121c11a2e919c28",
+                    "4efdc2ee9370d9e2",
+                    "e83127ddaea37f31"
                 ],
                 [
-                    "4ab8ea86a6eeb339",
-                    "53f0785b69c57076",
-                    "743add8631199267",
-                    "ecde48053b4ce146"
+                    "ec490c5380679a30",
+                    "e0de3ee5d06e63d7",
+                    "b3023d116b8f261d",
+                    "19ced822505c80ce"
                 ]
             ],
             "prep_messages": [
@@ -43,16 +43,16 @@
             ],
             "prep_shares": [
                 [
-                    "82d5d94c6fdbde274726db31c92f265769393517550963cfdc4d84154682f7c768a782e98b27c0129350252b073d80f3d84f0ee115c5abdd",
-                    "82d5d94c6fdbde274726db31c92f265769393517550963cfdc4d84154682f7c799587d1673d83fed3244d2e9b46ed4da81954ef7d00ab191"
+                    "b31f0265f3aec819bf6407ad0bc64a2ed30bde599950c0242e8468ea2bfa251d3593aba0aca30305656cb97ec7c8309a21cc2ddce86f3bc5",
+                    "b31f0265f3aec819bf6407ad0bc64a2ed30bde599950c0242e8468ea2bfa251dcc6c545f525cfcfad6f2371630c5ec6e9159a71901dd8799"
                 ]
             ],
-            "public_share": "0b40eac2eab18af3ac91184d5f466dc0fe1e9b00a994e6abffb9486a9d48a9623b3101fa6350e7a9831bfb7cf323506e336a041d0b1dea4d694486884d91de700414c2257b5c446ba65d928f520ed8fbfe0056b2dbdc41b30ad22234ba51abe53e49ac5502791e925778f0e3cd6bac3cb7bc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e295828074afb0c0c610f3d0139e2c7e5f1762a72cc1bd0036307bce53dc15c49d419ac4",
+            "public_share": "0e30118b55bf77ff34817d80025c5c736b1ee2188425350e71cc1dc5a779de3e6ff0676312c362381937b2713cf2d65c6b8392f0d3c4d16ea700e84d3745a519e3ffd22bf9633b4251fd5e3a8400fe1b3f71da0726d672f55f6b6225aecfbb419c5dfa5a405f278e9f03a185e3eaa238ec796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314bead370e09dc18618bd5cc3c8825338a085d4790108cbeb9ecdb914466664cfa0",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e58651db64c0870fe979c7be7dcb4513d781d662ff1331b3ce83793243588390011678281d239768aed3ce7a45e4bf8851f46e4283228d191f1bfaed0c4dd0e5b61e59da5246272e484f4c5c84db304cb1b6efd192e76eaae640d124bcf897e498b2878c6144fabcb39d80275dd9f721330a3fe0fe495c51e1f4",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf828506e274f38a239debc96139b8cda040dad741d11e589f47bb3c4aa1395111ee98efccebec97792cbdb6bdba2ac89981efb9ef3cb00c33bd8e7cf8aaa9edd2595509bdd86ace31103c18ddf3b90a2116a570b95d143ce3a122646fc53ed82a50dd94f0d14d781bb33bda7c9b18da9a6b74af0bdaf42344f4",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -65,16 +65,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "7a6a9d1b91384e57",
-                    "e13c3877c67bbeda",
-                    "cc7492629c76ffd1",
-                    "92196160d6e7d22c"
+                    "15b6f3ac7e9865cf",
+                    "2121c11a2e919c28",
+                    "739a4f5953ec306c",
+                    "7c58cf296a9ea68f"
                 ],
                 [
-                    "889562e46dc7b1a8",
-                    "22c3c78838844125",
-                    "358b6d9d6289002e",
-                    "6fe69e9f28182dd3"
+                    "ed490c5380679a30",
+                    "e2de3ee5d06e63d7",
+                    "8e65b0a6ab13cf93",
+                    "85a730d694615970"
                 ]
             ],
             "prep_messages": [
@@ -82,16 +82,16 @@
             ],
             "prep_shares": [
                 [
-                    "d9d4f3c493f3306874baf72e3e40c25aadad84c0f43ce5e161afd757c5bb29645468b1303a0ce4c22ea1a70ab38e02f9b1e2368e5ac5ba27",
-                    "d9d4f3c493f3306874baf72e3e40c25aadad84c0f43ce5e161afd757c5bb2964ad974ecfc4f31b3de89ce1b0ce39dbfb81954ef7d00ab191"
+                    "49f19cdc621365a7044c45fb9c6341ead9dbc40b7869727794f4bbb0477cb759919264b4f0098d7a4bdacbbf5ea5be09360ee658f6e3dba7",
+                    "49f19cdc621365a7044c45fb9c6341ead9dbc40b7869727794f4bbb0477cb759706d9b4b0ef6728528dca3e2721f838d9159a71901dd8799"
                 ]
             ],
-            "public_share": "00fe948733e8abb0c8d8614ea90a1595630a50514ca8f19ef156afb335dcb1ee26a793026096167908382daf72f2195bb8ee7ecbbafa8b9fce056dfd466cf5b32e75e915792e57adabdb0f8d3bbfc562cb31fd92a760425d26bc410ee307b3f2e44835baad354bcb0de56a58ceba3f7428cbd84d9b5607a7494f9995614aa3dd1cb065d58131a088e21ba6c87c4cc795ef22c376bd8f303ec420aad19361730e832916aac966b7345e93c94482a0e96e9a",
+            "public_share": "0d8031b3e41fc4b2fe2a3f77de06db7fe0806225f5601afc6f1578ceb8a6d174c5149b0a3cb2046aef8f96793a0ac548f1f980e043c60626e9f41e3b00ac83699c9e98ab4988ffed0a23fcc6eebe7973c8a5500651955a50069b3afabe4dc527f870939793cc954b804f74d3d2e842b043e0afadcff718420f50c61959f8f199ad4d1339a3ff4c8913eb9cd68dbbffbea4adde68e0fd7ed387c66d7892e6bb76802fbf7bcea5df898350bd19c4d4b44b6f",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e5860fad197a70fc6bb542a2cc76df3445e851464ecfcadc3cda7932434883a0012635fad1bc8055312f485e949f5ababf4ae925d2dd26438d71faed0c4dd0e5b61e9b089e8c3e41c513d1783530972a435075ee432cd48078ead124bc0898d498a2c9baacaa11d0304206440e1e5df0c4b3c4fcaf8ec227739e",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf8262e89d2e2b168947ea6cdb33763e4907da7abbdbdbd047febb3c4a91396111fe76d188852323dff6bc5937c5e8484238ee5c69476e85db738e7cf8aaa9edd2597827011f3343cc653d7563f9fb99784fa6cd3f5356c33aeb22646fd53ec82a4000b3343816edb5e83c3703915a59f2b4740c92cf37ab9b3d",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -104,16 +104,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "2a6600784bd0d00b",
-                    "1c373fbb0cab07db",
-                    "6d83d499036ab7de",
-                    "b09de6930364305e"
+                    "15b6f3ac7e9865cf",
+                    "2121c11a2e919c28",
+                    "ab6cbbed2c1d5447",
+                    "653bc7db1ab0433b"
                 ],
                 [
-                    "d799ff87b32f2ff4",
-                    "e5c8c044f254f824",
-                    "947c2b66fb954821",
-                    "5162196cfb9bcfa1"
+                    "ec490c5380679a30",
+                    "e0de3ee5d06e63d7",
+                    "56934412d2e2abb8",
+                    "9cc43824e44fbcc4"
                 ]
             ],
             "prep_messages": [
@@ -121,16 +121,16 @@
             ],
             "prep_shares": [
                 [
-                    "e3e83fa4cc115ce5494bfee2046e41938ce3767171e97e6164d665a9d68f113c68a782e98b27c0121f3bf20ef0c4cd45faea5a725a799390",
-                    "e3e83fa4cc115ce5494bfee2046e41938ce3767171e97e6164d665a9d68f113c99587d1673d83fed186f3822e55e393681954ef7d00ab191"
+                    "eaf5ce4b768dbbd0ae475a9f9c21686648c95a1cc546f756611f47eed991306b3593aba0aca303055af709c81309df8af569c44ac78e582d",
+                    "eaf5ce4b768dbbd0ae475a9f9c21686648c95a1cc546f756611f47eed991306bcc6c545f525cfcfad6f2371630c5ec6e9159a71901dd8799"
                 ]
             ],
-            "public_share": "0740eac2eab18af3ac91184d5f466dc0fe7844c18adc9409938036d9d6ce63de0d3101fa6350e7a9831cfb7cf323506e336b041d0b1dea4d694586884d91de700415c2257b5c446ba62096d4c17bc7079701bcfc59f3a52cd2070fd9b4dc5a207208d65a5d9fe397fd168c6fd19e3555febc9bfeb20525cc0ce8771086a16c39a00aa20a65d67590d601d29a78e2958280aa0c1d4d8f1c113199e4b3ee9fb2a63bff1560c494e475989550af2b66d66f5e",
+            "public_share": "0230118b55bf77ff34817d80025c5c736b2e06468c12c19b02abfeeaa474bb89aaf0676312c362381936b2713cf2d65c6b8292f0d3c4d16ea7ffe74d3745a519e3fed22bf9633b42515bce328398aa96a3f8b0010cc6a5517be67b78ba8da87593034ec5e5e284b8a88e2d117cae42aa78796f086f2d82ba5c736f5c7854b6fbe6605a571bdabcacce7acd94b9c87b314ba5c3ff6bfdd20fe1066ca5104db5200b8b04f73e5ed07db54576e02fea9466de",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e58651db64c0870fe9794fe51caa3dcdde2d4e89aefa3875d627428aa83837beb71cac23fc462d606a810473a95cb03fdcfba43ae7a27dc8a91afaed0c4dd0e5b61e59da5246272e484fc335e5fc3992a90a77abe30067e8de9c08cd5618e4b6e2ab5391822064c5f7ef4a2ff960076ba80209e89ac96ba256f5",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf828506e274f38a239d284833cce4b340b30756236c5b463fb202d5c54b60d765308b4bd0d9902499f3c7165be79e499fbef9198d71248638f28e7cf8aaa9edd2595509bdd86ace3110009a0b618c2481a378f2d7c2d74d4337dacbf31a1952d60deb38ede3a8ebfbeb317adf6ea458952e6a4f6ea580aa3ebf",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -143,16 +143,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "796a9d1b91384e57",
-                    "df3c3877c67bbeda",
-                    "31fd99cb39d14c36",
-                    "bdadb8097c973c72"
+                    "15b6f3ac7e9865cf",
+                    "2121c11a2e919c28",
+                    "b3736d00a7ceebfb",
+                    "4c659e7318a81aab"
                 ],
                 [
-                    "889562e46dc7b1a8",
-                    "22c3c78838844125",
-                    "d1026634c52eb3c9",
-                    "455247f68268c38d"
+                    "ec490c5380679a30",
+                    "e0de3ee5d06e63d7",
+                    "4f8c92ff57311404",
+                    "b69a618ce657e554"
                 ]
             ],
             "prep_messages": [
@@ -160,16 +160,16 @@
             ],
             "prep_shares": [
                 [
-                    "174f80cdba2341b2df9c31d5d002bf511fe169ffddfb99b5bb74a9cf97913cbc5468b1303a0ce4c2ff63b7d93fcda259c865f02637d1c4e3",
-                    "174f80cdba2341b2df9c31d5d002bf511fe169ffddfb99b5bb74a9cf97913cbcad974ecfc4f31b3de89ce1b0ce39dbfb81954ef7d00ab191"
+                    "a071808aaf288589d4496e13f9ae8de66e3159afccefc8684e4982a6e6afcfd0919264b4f0098d7ac7fd7791c5d25835a42c894f351115a8",
+                    "a071808aaf288589d4496e13f9ae8de66e3159afccefc8684e4982a6e6afcfd0706d9b4b0ef6728530954b3fa5c44e369159a71901dd8799"
                 ]
             ],
-            "public_share": "0cfe948733e8abb0c8d8614ea90a159563bab5b3fb27db24b52744c7d7daf017e1a793026096167908392daf72f2195bb8ed7ecbbafa8b9fce066dfd466cf5b32e74e915792e57adab3f9894a45c20b02fd7f8d129b722799ffe8d9a76af9a19cb174512acb3dd097a05acadd1d0b4cfa1cbd84d9b5607a7494f9995614aa3dd1cb065d58131a088e21ba6c87c4cc795ef1562ce16676335aa194125a674d8709b78e1b9382e44b462574de20b7305bfdd",
+            "public_share": "018031b3e41fc4b2fe2a3f77de06db7fe06eb6ffd9b0e2083236efcc45c94d7ca7149b0a3cb2046aef8e96793a0ac548f1fa80e043c60626e9f31e3b00ac83699c9f98ab4988ffed0a62d5e495135c2e58052f8f3619889294d3511df162b3c0be0b6fbcfeaadbe99076fd406091d3855fe0afadcff718420f50c61959f8f199ad4d1339a3ff4c8913eb9cd68dbbffbea4a0e969f28f3d02f792beb3d3b6f111af6b5d8da4008aee31ad34cf7380cf6d50",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         },
         {
             "input_shares": [
-                "000102030405060708090a0b0c0d0e0f18e4527f6e16e58651db64c0870fe979c7be7dcb4513d781d662ff1331b3ce83793243588390011678281d239768aed3ce7a45e4bf8851f46e4283228d191f1bfaed0c4dd0e5b61e59da5246272e484f4c5c84db304cb1b6efd192e76eaae640d124bcf897e498b2878c6144fabcb39d80275dd9f721330a3fe0fe495c51e1f4",
+                "000102030405060708090a0b0c0d0e0fe42659d9e37dcf828506e274f38a239debc96139b8cda040dad741d11e589f47bb3c4aa1395111ee98efccebec97792cbdb6bdba2ac89981efb9ef3cb00c33bd8e7cf8aaa9edd2595509bdd86ace31103c18ddf3b90a2116a570b95d143ce3a122646fc53ed82a50dd94f0d14d781bb33bda7c9b18da9a6b74af0bdaf42344f4",
                 "101112131415161718191a1b1c1d1e1f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
             ],
             "measurement": [
@@ -182,16 +182,16 @@
             "nonce": "000102030405060708090a0b0c0d0e0f",
             "out_shares": [
                 [
-                    "796a9d1b91384e57",
-                    "df3c3877c67bbeda",
-                    "31fd99cb39d14c36",
-                    "bdadb8097c973c72"
+                    "15b6f3ac7e9865cf",
+                    "2121c11a2e919c28",
+                    "b3736d00a7ceebfb",
+                    "4d659e7318a81aab"
                 ],
                 [
-                    "889562e46dc7b1a8",
-                    "22c3c78838844125",
-                    "d1026634c52eb3c9",
-                    "465247f68268c38d"
+                    "ec490c5380679a30",
+                    "e0de3ee5d06e63d7",
+                    "4f8c92ff57311404",
+                    "b69a618ce657e554"
                 ]
             ],
             "prep_messages": [
@@ -199,11 +199,11 @@
             ],
             "prep_shares": [
                 [
-                    "2649c7c603aa044d91ae267bd78e949899aaad3f3853d2f30e6596cba63008a85468b1303a0ce4c22ea1a70ab38e02f9b1e2368e5ac5ba27",
-                    "2649c7c603aa044d91ae267bd78e949899aaad3f3853d2f30e6596cba63008a8ad974ecfc4f31b3de89ce1b0ce39dbfb81954ef7d00ab191"
+                    "4499d25fbbf22041dd826e52f408bdcc6571d731bfd5ed4b72b1cf3a181ac9dd919264b4f0098d7a4bdacbbf5ea5be09360ee658f6e3dba7",
+                    "4499d25fbbf22041dd826e52f408bdcc6571d731bfd5ed4b72b1cf3a181ac9dd706d9b4b0ef6728528dca3e2721f838d9159a71901dd8799"
                 ]
             ],
-            "public_share": "0cfe948733e8abb0c8d8614ea90a159563bab5b3fb27db24b52744c7d7daf017e1a793026096167908382daf72f2195bb8ee7ecbbafa8b9fce056dfd466cf5b32e75e915792e57adab3f9894a45c20b02fd8f8d129b722799ffd8d9a76af9a19cb184512acb3dd097a04acadd1d0b4cfa1cbd84d9b5607a7494f9995614aa3dd1cb065d58131a088e21ba6c87c4cc795ef1562ce16676335aa194125a674d8709b78e1b9382e44b462574de20b7305bfdd",
+            "public_share": "018031b3e41fc4b2fe2a3f77de06db7fe06eb6ffd9b0e2083236efcc45c94d7ca7149b0a3cb2046aef8f96793a0ac548f1f980e043c60626e9f41e3b00ac83699c9e98ab4988ffed0a62d5e495135c2e58042f8f3619889294d4511df162b3c0be0a6fbcfeaadbe99077fd406091d3855fe0afadcff718420f50c61959f8f199ad4d1339a3ff4c8913eb9cd68dbbffbea4a0e969f28f3d02f792beb3d3b6f111af6b5d8da4008aee31ad34cf7380cf6d50",
             "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f"
         }
     ],