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MATH 4809

Mathematical Cryptography (Honours)

0.5 credit · Undergraduate

Topics covered include: a general survey of public key cryptography; classical applications of finite fields and number theory; relevant background in geometry and algebraic curves; computational issues concerning elliptic curves; elliptic curve cryptosystems; security issues.

2022

Topics

  • Elliptic curves
  • Finite Fields
  • Discrete logarithm cryptography
  • ElGamal cryptosystem
  • Factoring large integers
  • Hyperelliptic curves
  • Additional selected topics

Readings

  • J. Hoffstein, J. Pipher, J. Silverman, An Introduction to Mathematical Cryptography, 2nd edition.

Prerequisites & course information

Prerequisite(s): MATH 3158 , or permission of the School. Lectures three hours a week.

Sources