English

Twisted Gabidulin Codes in the GPT Cryptosystem

Information Theory 2018-08-15 v2 Cryptography and Security math.IT

Abstract

In this paper, we investigate twisted Gabidulin codes in the GPT code-based public-key cryptosystem. We show that Overbeck's attack is not feasible for a subfamily of twisted Gabidulin codes. The resulting key sizes are significantly lower than in the original McEliece system and also slightly smaller than in Loidreau's unbroken GPT variant.

Cite

@article{arxiv.1806.10055,
  title  = {Twisted Gabidulin Codes in the GPT Cryptosystem},
  author = {Sven Puchinger and Julian Renner and Antonia Wachter-Zeh},
  journal= {arXiv preprint arXiv:1806.10055},
  year   = {2018}
}

Comments

5 pages, accepted at the International Workshop on Algebraic and Combinatorial Coding Theory, 2018

R2 v1 2026-06-23T02:42:26.190Z