Rank Metric Codes and Their Galois Duality

被引：0

作者：

Gao, Qing ^{[1
]}

Ding, Yang ^{[1
,2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China

[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2023年 / E106A卷 / 08期

基金：

中国国家自然科学基金;

关键词：

rank metric codes; Galois inner product; LCD; self-dual codes; self-orthogonal codes;

D O I：

10.1587/transfun.2022EAL2090

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we describe the Galois dual of rank metric codes in the ambient space F-nxm (Q) and F-Qm(n), where Q = q(e). We obtain connections between the duality of rank metric codes with respect to distinct Galois inner products. Furthermore, for 0 <= s < e, we introduce the concept of q(sm)-dual bases of F-Qm over F-Q and obtain some conditions about the existence of q(sm)-self-dual basis.

引用

页码：1067 / 1071

页数：5

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