banner

CECM | CAG | Department of Mathematics | SFU | MITACS | IRMACS | PIMS

About me Research Publications Students Teaching Talks Links

Cryptography, Fall 2006

Content

  • Classical cryptography from Caeser to Vigenere.
  • The Data Encryption Standard and Advanced Encryption Standard.
  • Algorithms for integers and their time complexity.
  • The RSA public key cryptosystem and attacks on RSA.
  • Algorithms for integer primality testing and integer factorization.
  • Finite fields and the ElGamal cryptosystem.
  • Algorithms for the discrete logarithm problem.
  • The One-Time-Pad and perfect security.
  • Pseudo-random number generation.
  • The quadratic residue problem and the Goldwasser-Micali cryptosystem.
  • The Blum-Blum-Shub pseudo-random-bit generator.
  • Cryptographically secure hash functions.
  • Digital signature schemes.

Textbook

Cryptography: Theory and Practice, by Douglas Stinson, 3rd edition, 2006.

Maple

The university has a site license for Maple. Maple is installed on the PCs and MACs in the assignment lab, the CECM lab, university open labs and the library. Maple is available from the computer shop for about $200.

The Maple worksheet MapleNotes.mws and MapleNotes.pdf contains notes on using Maple, including programming in Maple, and examples.

p. (778) 782-4279 · f. (778) 782-4947 · Shrum Science K 10501 · Department of Mathematics · 8888 University Drive · Burnaby · BC · V5A 1S6 · Canada