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  • Introduction
    • About Us
    • Notations & Definitions
      • MPC
      • ZK
    • Contribute to this Site!
  • Primitives
    • Multiplication
      • Karatsuba Multiplication
      • Toom-Cook Multiplication
    • NAF (Non-adjacent form)
    • Chinese Remainder Theorem (CRT)
    • Euclidean Algorithm
      • Extended Euclidean Algorithm
      • Binary Euclidean Algorithm
      • Extended Binary Euclidean Algorithm
    • Coding Theory
      • Linear Code
    • Number Theoretic Transform
    • Abstract Algebra
      • Group
        • -Morphisms
        • Batch Inverse
      • Elliptic Curve
        • Weierstrass Curve
          • Coordinate Forms
          • Fast Elliptic Curve Arithmetic and Improved WEIL Pairing Evaluation
        • Edwards Curve
          • Coordinate Forms
          • Twisted Edwards ↔ Short Weierstrass Transformation
        • Batch Inverse for Batch Point Additions
        • Scalar Multiplication
          • Double-and-add
          • GLV Decomposition
        • MSM
          • Pippenger's Algorithm
          • Signed Bucket Index
          • CycloneMSM
          • EdMSM
          • cuZK
        • 2-Chain and 2-Cycle of Elliptic Curves
    • Encryption Scheme
      • ElGamal Encryption
    • Modular Arithmetic
      • Modular Reduction
        • Barrett Reduction
        • Montgomery Reduction
      • Modular Inverse
        • Bernstein-Yang's Inverse
    • Multiset Check
    • Sumcheck
    • Commitment Scheme
      • Fflonk
      • SHPlonk
      • Zeromorph
  • MPC
    • Yao's Garbled Circuits
    • GMW
    • BMR
  • ZK
    • Arithmetization
      • R1CS
      • PLONK
      • AIR
    • Folding
      • LatticeFold
      • Nova
        • Nova over Cycles of Curves
    • Lookup
      • Lasso
      • LogUp-GKR
    • SNARK
      • Groth16
      • HyperPlonk
      • Spartan
        • SPARK
    • STARK
      • Additive NTT
      • Basefold
      • Binius
      • Brakedown
      • CircleSTARK
      • FRI
        • FRI Security Features and Optimizations
      • DEEP FRI
      • STIR
      • WHIR
    • Distributed ZK
      • Ryan's Trick for Distributed Groth16
  • Application
    • zkLogin
    • zkHoldem
    • zkTLS
      • DECO
      • Proxying is enough
  • zkVM
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  1. Introduction

About Us

NextNotations & Definitions

Last updated 1 month ago

Welcome! This GitBook is maintained by a group of volunteers who are passionate about expanding knowledge in the fields of ZK, MPC, TEE, FHE, PQC and more. We are sponsored by and welcome contributions from anyone interested in helping us learn and grow together.

Community Roles

  • Maintainer The members of the paper reading group. They are responsible for creating and reviewing articles, as well as overall site maintenance.

  • Writer Anyone who authors articles.

  • Reviewer Anyone who reviews articles.

Contact Us

If you have any questions or would like to get involved, please reach out to us at zk@a41.io.

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