uofsc-fall-2022-math-587-001 Goto Github PK
Name: Introduction to Cryptography
Type: Organization
Bio: Course materials for Fall 2022 CSCE 557/Math 587 at UofSC.
Location: United States of America
Name: Introduction to Cryptography
Type: Organization
Bio: Course materials for Fall 2022 CSCE 557/Math 587 at UofSC.
Location: United States of America
Getting used to editing tex and go files in GitPod.
Substitution ciphers
The index calculus for the DLP, quadratic reciprocity, and Tonelli-Shanks.
Basics on elliptic curves and their discrete log problem
Elliptic curve cryptography
Mathematical preliminaries: division, the Euclidean algorithm, and modular arithmetic
Prime factorization and primitive powers mod p
Introduction to the discrete logarithm problem and a comparison of symmetric vs asymmetric ciphers
Diffie-Hellman key exchange and ElGamal cryptosystem. Plus Shanks' algorithm for solving the discrete logarithm problem.
The Chinese remainder theorem and its application in the Pohlig-Hellman algorithm for solving the discrete logarithm problem.
Roots mod pq, RSA, and Miller-Rabin witnesses for compositeness
A bit about distribution of primes and Pollard's p-1 test
B-smooth numbers, the quadratic sieve, and the number field sieve
Course webpage for Fall 2022 Introduction to Cryptography at the University of South Carolina.
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