Cryptology is the study of the design and analysis of various encryption schemes, and related topics. The plan is to study the basics of the subject and then touch on several recent developments.
Two 400-level MATH courses, or (CMSC 330 and CMSC351) and permission of the department. Note: Also listed as CMSC 456.
Construction and analysis of simple cryptosystems (affine, Vigenere, linear feedback shift registers)
Public key cryptography (RSA, finding large primes, factoring techniques)
Secret sharing schemes (design a system that can be activated by any 5 people in a group, but never by 4)
Signature schemes (how to sign an electronic message)
Identification schemes (identify yourself in a way that eavesdroppers cannot later pretend to be you)
Zero-knowledge techniques (prove that you have some information without revealing the information)
Miscellany (Quantum methods, Elliptic curves, Private information retrieval, Connections to Complexity theory, flipping coins and playing poker over the telephone; yes, you can do it and still prevent cheating)