Complexity of decoding Gabidulin codes

被引:17
作者
Gadouleau, Maximilien [1 ]
Yan, Zhiyuan [1 ]
机构
[1] Lehigh Univ, Dept Elect & Comp Engn, Bethlehem, PA 18015 USA
来源
2008 42ND ANNUAL CONFERENCE ON INFORMATION SCIENCES AND SYSTEMS, VOLS 1-3 | 2008年
关键词
D O I
10.1109/CISS.2008.4558679
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we analyze the complexity of decoding Gabidulin codes using the analogs in rank metric codes of the extended Euclidean algorithm or the Berlekamp-Massey algorithm. We show that a subclass of Gabidulin codes reduces the complexity and the memory requirements of the decoding algorithm. We also simplify an existing algorithm for finding roots of linearized polynomials for decoding Gabidulin codes. Finally we analyze and compare the asymptotic complexities of different decoding algorithms for Gabidulin codes.
引用
收藏
页码:1081 / 1085
页数:5
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