Duals of linearized Reed-Solomon codes

被引：5
|
作者：
Caruso, Xavier [1 ]
Durand, Amaury [1 ]
机构：
[1] Univ Bordeaux, Talence, France
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2023年 / 91卷 / 01期
关键词：
Sum-rank metric; Duality; Ore polynomials; Residue formula; SKEW;
D O I：
10.1007/s10623-022-01102-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We give a description of the duals of linearized Reed-Solomon codes in terms of codes obtained by taking residues of Ore rational functions. Our construction shows in particular that, under some assumptions on the base field, the class of linearized Reed-Solomon codes is stable under duality. As a byproduct of our work, we develop a theory of residues in the Ore setting, extending the results of [7].
引用
收藏
页码：241 / 271
页数：31
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