The failure of McEliece PKC based on Reed-Muller codes.

I.  V.  Chizhov; M.  A.  Borodin

Paper 2013/287

The failure of McEliece PKC based on Reed-Muller codes.

I. V. Chizhov and M. A. Borodin

Abstract

This paper describes new algorithm for breaking McEliece cryptosystem, built on Reed-Muller binary code $RM(r, m)$, which receives the private key from the public key. The algorithm has complexity $O(n^d+n^4log_2n)$ bit operations, where $n=2^m, d=\text{GCD}(r,m-1).$ In the case of $\text{GCD}(r,m-1)$ limitation, attack has polynomial complexity. Practical results of implementation show that McEliece cryptosystems, based on the code with length $n=65536$ bits, can be broken in less than 7 hours on a personal computer.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown status
Keywords: Reed-Muller binary code McEliece cryptosystem
Contact author(s): bor1m @ mail ru
History: 2013-10-09: revised; 2013-05-23: received; See all versions
Short URL: https://ia.cr/2013/287
License: CC BY

BibTeX

@misc{cryptoeprint:2013/287,
      author = {I.  V.  Chizhov and M.  A.  Borodin},
      title = {The failure of {McEliece} {PKC} based on Reed-Muller codes.},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/287},
      year = {2013},
      url = {https://eprint.iacr.org/2013/287}
}