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fix typo
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olga24912 committed Nov 20, 2023
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Expand Up @@ -105,7 +105,7 @@ Notation: $H \subseteq G$

Notation: |G| or #G, where G is group

For some technical reason (for `pairing` operation which we will define later), we will work not with the hole $E(F_p)$, but only with the two subgroups $G_1$ and $G_2$ with the same **order** $r$. $G_1$ is a subset of $E(F_p)$, $G_2$ is a subgroup of another group, which we will define later. The $r$ should be prime and $G1 \ne G2$
For some technical reason (for `pairing` operation which we will define later), we will work not with the whole $E(F_p)$, but only with the two subgroups $G_1$ and $G_2$ with the same **order** $r$. $G_1$ is a subset of $E(F_p)$, $G_2$ is a subgroup of another group, which we will define later. The $r$ should be prime and $G1 \ne G2$

For our BLS12-381 Elliptic Curve, **the order r** of $G1$ and $G2$[^15],[^51]:

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