pishleback / pishleback/Algebraeon

NTT implementation for polynomial multiplication

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#188 2 comments 2 reactions 0 assignees View on GitHub

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enhancement
Dominant language
Rust
Stars
82
Forks
10
PR merge metrics
No merged PRs in 30d

Description

Currently the polynomial multiplication is done with the classical O(n^2) algorithm.
Would be nice to use the Number theoretic transform to speed it up to O(n log(n)) in finite ring.
It does not apply to all finite ring but only to some related to prime numbers.

Contributor guide

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First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by locating the existing polynomial multiplication entry point and understanding how finite rings and prime-related constraints are represented. Determine which rings support the transform, then compare the implementation against the current classical multiplication and define completion with tests or benchmarks showing correct results and improved scaling.

Written by the indexing model from the issue text.

Assessment

Tech stack
rust
Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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