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
收藏
页码：1067 / 1071
页数：5
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