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MATH 5300

Mathematical Cryptography

0.5 credit · Graduate

Analysis of cryptographic methods used in authentication and data protection, with particular attention to the underlying mathematics, e.g. Algebraic Geometry, Number Theory, and Finite Fields. Advanced topics on Public-Key Cryptography: RSA and integer factorization, Diffie-Hellman, discrete logarithms, elliptic curves. Topics in current research.

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.
Sources