twenty-first

A collection of cryptography primitives written in Rust.

Content of this library

This library contains primarily the following cryptographic primitives:

• The Tip5 hash function
  • The Tip5 Hash Function for Recursive STARKs
• Lattice-crypto
  • arithmetic for the quotient ring $\mathbb{F}_ p[X] / \langle X^{64} + 1 \rangle$
  • arithmetic for modules over this quotient ring
  • a IND-CCA2-secure key encapsulation mechanism
  • Lattice-Based Cryptography in Miden VM
• BFieldElement, XFieldElement
  • The prime-field type $\mathbb{F}_p$ where $p = 2^{{64} - 2}{32} + 1$
  • The extension field $\mathbb{F}_p[x]/(x^3 - x + 1)$
  • A codec trait for encoding and decoding structs as Vecs of BFieldElement
  • An efficient prime for number-theoretic transforms
• NTT
  • Number Theoretic Transform (discrete Fast Fourier Transform)
  • Anatomy of a STARK, Part 6: Speeding Things Up
• Univariate polynomials
• Merkle Trees
• Merkle Mountain Ranges

Wasm support

The twenty-first library can be built for WebAssembly. See the dedicated readme for further information.