CSE/MATH 467: Various Links
Relevant Books:
- Algorithmic Number Theory, Volume 1: Efficient Algorithms,
E. Bach and J. Shallit, MIT Press, Cambridge, MA, 1996.
- Prime Numbers, A Computational Perspective, R. Crandall
and C. Pomerance, Springer, New York, 2001. This book gives a masterful presentation of the number theory underlying lots of modern cryptography as well as those applications. Note that Pomerance is the author of the very fundamental Quadratic Sieve.
- Seminumerical Algorithms (second edition), volume 2 of
The Art of Computer Programming, D. Knuth, Addison-Wesley,
Reading, MA, 1981. This book might be thought of as the "bible" of the basic computer algorithms underlying all the techniques that we will discuss (and more).
- Handbook of Applied Cryptography,
A.J. Menezes, P.J. van Oorschot, and S.A. Vanstone, CRC, 1996. Online version also available!
- Prime Numbers and Computer Methods
for Factorization, H. Riesel, Birkhaeuser, Boston, 1994.
- Cryptanalysis of Number Theoretic
Ciphers, S.S. Wagstaff, Jr., Chapman & Hall/ CRC, 2003.
This book covers a lot more ground and at a faster pace.
Nice General Cryptography Link
 
General Information on Primes
 
Last
modified August 16, 2013 by W.D. Brownawell, wdb@math.psu.edu