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Lookup Table

This is a tiny Rust implementation written to understand primary lookup tables in ZKP. This implementation is not secure and is intended solely for my practice purposes. It doesn't support the commitment scheme, and focus on the operations of polynomials.

Features

  • Plookup: Implements the plookup protocol using univariate polynomials.
  • Logup: Implements the logup protocol based on the sumcheck protocol. It doesn't support for the GKR protocol yet.

Components

  • field.rs: Implements basic arithmetic operations on finite fields.
  • univariate_polynomial.rs: Provides functionality for creating and manipulating univariate polynomials.
  • plookup.rs: Implements the plookup protocol using univariate polynomials.
  • multivariate_polynomial.rs: Handles multivariate polynomials required for the sumcheck protocol.
  • sumcheck.rs: Implements the sumcheck protocol, a fundamental component of the logup protocol.
  • logup.rs: Implements the logup protocol based on the sumcheck protocol.

Reference

plookup: A simplified polynomial protocol for lookup tables

Multivariate lookups based on logarithmic derivatives

Improving logarithmic derivative lookups using GKR

pylookup

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plookup and logup implementation in Rust

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