https://github.com/thomwiggers/lpn

Flexibly construct and implement attacks on Learning Parity with Noise
https://github.com/thomwiggers/lpn

Last synced: about 6 hours ago
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Flexibly construct and implement attacks on Learning Parity with Noise

• Host: GitHub
• URL: https://github.com/thomwiggers/lpn
• Owner: thomwiggers
• Created: 2018-04-05T08:16:46.000Z (over 6 years ago)
• Default Branch: main
• Last Pushed: 2023-09-26T12:22:01.000Z (about 1 year ago)
• Last Synced: 2024-11-10T18:29:00.187Z (10 days ago)
• Language: Rust
• Homepage: https://thomwiggers.nl/publication/lpn/
• Size: 18.8 MB
• Stars: 9
• Watchers: 5
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Attacks on Learning Parity with Noise

This software package allows to construct attacks on LPN.

The `examples/` directory shows many examples of solving algorithms that solve various LPN instances using various (combinations of) reductions and solution-finding algorithms.

It also contains some example programs that try to find covering codes (mainly StGen codes) that have desirable properties.

## Usage

1. Get Rust and Cargo set up. You may need the nightly version (as of September 2018).

2. `cargo run --release --example bkw`

## Source material

Thom Wiggers. Solving LPN using Large Covering Codes. *Master's Thesis* Radboud University, 2018.

See also https://thomwiggers.nl/publication/masters-thesis/

Thom Wiggers and Simona Samardjiska.  Practically Solving LPN. _IEEE ISIT 2021_, 2021.

See also https://thomwiggers.nl/publication/lpn/

## References

* Blum, Kalai and Wasserman. Noise-tolerant learning, the parity problem, and the statistical query model. *Computing, 2000*, ACM, 2013.

* Levieil and Fouque. An improved LPN algorithm. *SCN 2006*, Springer 2018.

* Bogos, Tramer and Vaudenay. On solving LPN using BKW and variants – implementation and analysis. *Cryptography and Communications*, 2016.

* Bogos and Vaudenay. Optimization of LPN solving algorithms. *ASIACRYPT 2015*, Springer, 2016.

* Esser, Kübler and May. LPN Decoded. *CRYPTO 2017*, Springer, 2017.

* Samardjiska and Gligoroski. Approaching Maximum Embedding Efficiency on Small Covers Using Staricase-Generator Codes. *2015 IEEE International Symposium on Information Theory*, 2015.