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Cryptography lecture report in M1 at the university of Tokyo

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Cryptography report

  • Topic: Checksum We presented basic checksum algorithms such as the one used in credit card numbers. Explain what is a quasigroup. Present and analyze Damm’s method based on quasigroups to detect all single-digit and transposition errors. Are there other quasigroups that work ?

    Requirement: 5 to 10 pages

    Deadline: before June 11, 2018

Outline

  • Hash function: definition, characteristics and simple application
  • ISBN: introduction, detection ability, proof, generalization, best parameter
  • Credit card: We presented basic checksum algorithms such as the one used in credit card numbers.
    • Introduction, Luhn function (intro, characteristics), detection ability, proof, Luhn is the best function in this form
  • Dihedral group: intro, example, detection ability, proof, best group
  • Quasigroup
    • Introduction: Explain what is a quasigroup.
    • Damm's method Present and analyze Damm’s method based on quasigroups
    • Detection ablity to detect all single-digit and transposition errors.
    • Proof
    • Generalization Are there other quasigroups that work ?

How to compile

pdflatex -shell-escape report.tex

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Cryptography lecture report in M1 at the university of Tokyo

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