https://github.com/sri-csl/ntt

An Implementation of the Number Theoretic Transform
https://github.com/sri-csl/ntt

Last synced: 2 months ago
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An Implementation of the Number Theoretic Transform

• Host: GitHub
• URL: https://github.com/sri-csl/ntt
• Owner: SRI-CSL
• License: mit
• Created: 2020-07-07T00:03:39.000Z (over 4 years ago)
• Default Branch: master
• Last Pushed: 2023-08-23T00:27:17.000Z (over 1 year ago)
• Last Synced: 2023-10-20T23:13:35.358Z (about 1 year ago)
• Language: C
• Homepage:
• Size: 1.51 MB
• Stars: 28
• Watchers: 19
• Forks: 9
• Open Issues: 1
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# The Number Theoretic Transform

The Number Theoretic Transform ([NTT](https://en.wikipedia.org/wiki/Discrete_Fourier_transform_(general)#Number-theoretic_transform)) is an efficient algorithm for

computing the products of polynomials whose coefficients belong to

a finite field.

This repository contains SRI's various implementations of the NTT (developed while 

implementing the [Bliss](https://github.com/SRI-CSL/Bliss)).

It also includes the verification of these algorithms.

The repository is organized into three subdirectories:

* [src](https://github.com/SRI-CSL/NTT/tree/master/src/README.md) contains a plethora of code implementing the algorithms described in paper.

* [verifier](https://github.com/SRI-CSL/NTT/tree/master/verifier/README.md) contains the code of the verifier that proves absence of integer overflows of the programs described in [src](https://github.com/SRI-CSL/NTT/tree/master/src/README.md).

* [paper](https://github.com/SRI-CSL/NTT/blob/master/paper/main_final.pdf) contains the [VSTTE20 conference](https://sri-csl.github.io/VSTTE20/) version of the paper, as well as the [slides](https://github.com/SRI-CSL/NTT/blob/master/paper/slides.pdf) from the conference talk.