New Technique for Decoding Codes in the Rank Metric and Its Cryptography Applications

被引:69
作者
A. V. Ourivski
T. Johansson
机构
关键词
System Theory; Authentication Scheme; Linear Rank; Rank Distance; Decode Code;
D O I
10.1023/A:1020369320078
中图分类号
学科分类号
摘要
We present two new algorithms for decoding an arbitrary (n, k) linear rank distance code over GF(qN). These algorithms correct errors of rank r in O((Nr)3q(r−1)(k+1)) and O((k + r)3r3q(r−1)(N−r)) operations in GF(q) respectively. The algorithms give one of the most efficient attacks on public-key cryptosystems based on rank codes, as well as on the authentication scheme suggested by Chen.
引用
收藏
页码:237 / 246
页数:9
相关论文
共 2 条
[1]  
Gibson J.K.(1995)Severely Denting the Gabidulin Version of the McEliece Public-Key Cryptosystem Designs, Codes and Cryptography 6 37-45
[2]  
Gabidulin E.M.(1985)Theory of Codes with Maximal Rank Distance Probl. Peredachi Inf. 21 3-16