Academic Catalog

IAM509 ALGEBRAIC ASPECTS OF CRYPTOGRAPHY

Course Code:	9700509
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	8.0
Department:	Institute Of Applied Mathematics
Language of Instruction:	English
Level of Study:	Graduate
Course Coordinator:	Assist.Prof.Dr BUKET ÖZKAYA
Offered Semester:	Fall or Spring Semesters.

Course Content

Cryptography based on Groups, Discrete Logarithm Problem (DLP) in finite fields, The ElGamal Cryptosystem, Diffie-Hellman and Digital Signature Algorithm. Algorithms to attack DLP in finite fields: The Silver-Pohling-Hellman, The Index-Calculus, Basic facts on Elliptic Curves, Group structure, Elliptic Curve cryptosystems Elliptic curve primality test, Elliptic curve factorizaton. Lucas, GH and XTR cryptosystems.