This article is cited in 2 papers

Mathematical Methods of Cryptography

Cryptanalysis of the McEliece PKC based on $(k-1)$-Reed–Muller subcodes

I. V. Chizhov, M. A. Borodin

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow

Abstract: In this paper, we describe two types of McEliece cryptosystems based on some Reed–Muller subcodes and study the question of equivalent keys for these cryptosystems. A method for reduction of one cryptosystem to the another is obtained. Also, we show that these cryptosystems based on Reed–Muller subcode with the most widely used parameters can be attacked with the authors' algorithm.

Keywords: McEliece cryptosystem, Reed–Muller subcode, automorphism of Reed–Muller code, Schur product codes, square of code.

UDC: 004.056.55

DOI: 10.17223/2226308X/9/29