Introduction to Cryptography

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16 repositories

UofSC-Fall-2022-Math-587-001.github.io
Public
Course webpage for Fall 2022 Introduction to Cryptography at the University of South Carolina.
go math crytpography
CSS
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MIT License
•0•0•0•0•Updated Dec 2, 2022Dec 2, 2022
jekyll
Public template
SCSS
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MIT License
•0•0•0•0•Updated Dec 2, 2022Dec 2, 2022
quizzes
Public
TeX
•0•0•0•0•Updated Nov 14, 2022Nov 14, 2022
homework12
Public template
Elliptic curve cryptography
go cryptography latex math ecdsa elliptic-curve-diffie-hellman elliptic-curve-cryptography elliptic-curve-elgamal
Go
•0•0•0•0•Updated Nov 8, 2022Nov 8, 2022
homework11
Public template
Basics on elliptic curves and their discrete log problem
go cryptography latex math elliptic-curves discrete-logarithms
Go
•0•0•0•0•Updated Nov 1, 2022Nov 1, 2022
homework10
Public template
The index calculus for the DLP, quadratic reciprocity, and Tonelli-Shanks.
go cryptography latex math tonelli-shanks quadratic-reciprocity
Go
•0•0•0•0•Updated Oct 25, 2022Oct 25, 2022
homework9
Public template
B-smooth numbers, the quadratic sieve, and the number field sieve
go latex math sieve crytpography
Go
•0•0•0•0•Updated Oct 18, 2022Oct 18, 2022
homework8
Public template
A bit about distribution of primes and Pollard's p-1 test
go cryptography latex math prime-numbers pollard-p-1
TeX
•0•0•0•0•Updated Oct 12, 2022Oct 12, 2022
homework7
Public template
Roots mod pq, RSA, and Miller-Rabin witnesses for compositeness
go cryptography latex math number-theory
TeX
•0•0•0•0•Updated Oct 4, 2022Oct 4, 2022
homework6
Public template
The Chinese remainder theorem and its application in the Pohlig-Hellman algorithm for solving the discrete logarithm problem.
go cryptography latex math discrete-logarithm
TeX
•0•0•0•0•Updated Sep 29, 2022Sep 29, 2022
homework5
Public template
Diffie-Hellman key exchange and ElGamal cryptosystem. Plus Shanks' algorithm for solving the discrete logarithm problem.
go cryptography latex math discrete-logarithm
TeX
•0•0•0•0•Updated Sep 29, 2022Sep 29, 2022
homework4
Public template
Introduction to the discrete logarithm problem and a comparison of symmetric vs asymmetric ciphers
go cryptography latex math discrete-logarithm
TeX
•0•0•0•0•Updated Sep 29, 2022Sep 29, 2022
homework3
Public template
Prime factorization and primitive powers mod p
go cryptography latex math
TeX
•0•0•0•0•Updated Sep 29, 2022Sep 29, 2022
homework1
Public template
Substitution ciphers
go cryptography latex math
TeX
•3•0•0•0•Updated Sep 29, 2022Sep 29, 2022
homework2
Public template
Mathematical preliminaries: division, the Euclidean algorithm, and modular arithmetic
golang cryptography latex math
TeX
•1•0•0•0•Updated Aug 31, 2022Aug 31, 2022
homework0
Public template
Getting used to editing tex and go files in GitPod.
go latex gitpod
TeX
•0•0•0•0•Updated Aug 12, 2022Aug 12, 2022