On decoding additive generalized twisted Gabidulin codes

被引:0
作者
Wrya K. Kadir
Chunlei Li
机构
[1] University of Bergen,
来源
Cryptography and Communications | 2020年 / 12卷
关键词
Rank metric; Maximum rank distance codes; Gabidulin codes; Twisted Gabidulin codes; Generalized twisted Gabidulin codes; 94B35; 68P30; 11T71; 11T06;
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学科分类号
摘要
In this paper, we consider an interpolation-based decoding algorithm for a large family of maximum rank distance codes, known as the additive generalized twisted Gabidulin codes, over the finite field Fqn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {F}_{q^{n}}$\end{document} for any prime power q. This paper extends the work of the conference paper Li and Kadir (2019) presented at the International Workshop on Coding and Cryptography 2019, which decoded these codes over finite fields in characteristic two.
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页码:987 / 1009
页数:22
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