English

Encryption Scheme Based on Expanded Reed-Solomon Codes

Cryptography and Security 2020-05-12 v4 Information Theory math.IT

Abstract

We present a code-based public-key cryptosystem, in which we use Reed-Solomon codes over an extension field as secret codes and disguise it by considering its shortened expanded code over the base field. Considering shortened expanded codes provides a safeguard against distinguisher attacks based on the Schur product. Moreover, without using a cyclic or a quasi-cyclic structure we obtain a key size reduction of nearly 45%45 \% compared to the classic McEliece cryptosystem proposed by Bernstein et al.

Keywords

Cite

@article{arxiv.1906.00745,
  title  = {Encryption Scheme Based on Expanded Reed-Solomon Codes},
  author = {Karan Khathuria and Joachim Rosenthal and Violetta Weger},
  journal= {arXiv preprint arXiv:1906.00745},
  year   = {2020}
}