Time: the fourth Semester.
Credit: 3 hours.
Period: 54 hours.
Previous courses: Basic Analytic Number Theory, Algebraic Number Theory
Course contents:
(1) Some Topics in Elementary Number Theory;
(2) Finite Fields and Quadratic Residues;
(3) Cryptography;
(4) Public Key;
(5) Primality and Factoring;
(6) Elliptic Curves.
References:
(1) Neal I Koblitz, A Course in Number Theory and Cryptography, Springer
Verlag, GTM114, 1994
(2) Shparlinski, Igor E Shparlinski, Cryptographic Applications of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness, 2003
