Paper 2025/1373 Original: eprint.iacr.org/2025/1373 ↗

A Zero-Knowledge Proof for the Syndrome Decoding Problem in the Lee Metric

Mladen Kovačević
Tatjana Grbić
Darko Čapko
Nemanja Nedić
Srđan Vukmirović
Abstract

The syndrome decoding problem is one of the NP-complete problems lying at the foundation of code-based cryptography. The variant thereof where the distance between vectors is measured with respect to the Lee metric, rather than the more commonly used Hamming metric, has been analyzed recently in several works due to its potential relevance for building more efficient code-based cryptosystems. The purpose of this article is to present a zero-knowledge proof of knowledge for this variant of the problem.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2025-07-28: last updated
2025-07-28: published
Short URL
https://ia.cr/2025/1373
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2025/1373,
      author = {Mladen Kovačević and Tatjana Grbić and Darko Čapko and Nemanja Nedić and Srđan Vukmirović},
      title = {A Zero-Knowledge Proof for the Syndrome Decoding Problem in the Lee Metric},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1373},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1373}
}
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