Ingopedia

Finite fields

  • Number theory explained from first principles
  • An introduction to the theory of finite fields
  • MIT lectures -FInite Field arithmetic
  • Finite field arithmetic Doche Lange
  • Aztec emulated field and group operations
  • FInite field arithmetic - bigint

Modular arithmetic

  • A Fast Large-Integer Extended GCD Algorithm and Hardware Design for Verifiable Delay Functions and Modular Inversion
  • Optimized Binary GCD for Modular Inversion
  • Library of Algorithms
  • Modular Multiplication and Hardware implementations - Review
  • Evaluation of large integer multiplications in hardware - Review
  • Hardware friendly modular mult
  • Montgomery REDC using positive inverse mod r
  • Low latency multipliers and cryptographic puzzles
  • optimizing pairing based cryptography, montgomery arithmetic in rust
  • Montgomery arithmetic from a software perspective - Bos and The Montgomery

Related Math

  • The Matrix cookbook
  • Ideal Class Groups

Polynomials

  • Finite fields and polynomials
  • Schwarz - Zippel Lemma
  • Curious History of Schwarz-Zippel lemma