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polynomial-rings

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Intel’s HERACLES accelerator introduces a new set of fundamental instructions, the Polynomial Instructions Set Architecture (P-ISA) that operates directly on polynomials requiring a completely new programming environment. This open-source project aims at developing the building blocks for a compiler toolchain for HERACLES.

  • Updated Apr 14, 2026
  • Python

Comprehensive univariate polynomial class. All arithmetic performed symbolically. Some advanced features include: Arithmetic of polynomial rings over a finite field, the Tonelli-Shanks algorithm, GCD, exponentiation by squaring, irreducibility checking, modular arithmetic (obviously) and polynomials from roots.

  • Updated Oct 15, 2023
  • C#

Browser-based NTRU demo implementing the original 1996 Hoffstein-Pipher-Silverman lattice cryptosystem (EESS#1 v3.3, ees443ep1). Polynomial ring arithmetic from scratch — the lattice scheme that started it all.

  • Updated Apr 19, 2026
  • TypeScript

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