LCD and Self-Orthogonal Group Codes in a Finite Abelian p-Group Algebra

被引：9

作者：

Li, Fengwei ^{[1
,2
]}

Yue, Qin ^{[3
]}

Wu, Yansheng ^{[3
]}

机构：

[1] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

[2] State Key Lab Cryptol, Beijing 100878, Peoples R China

[3] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2020年 / 66卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Finite field; primitive idempotent; abelian code; MINIMAL CYCLIC CODES; DUAL CODES; IDEMPOTENTS;

D O I：

10.1109/TIT.2019.2923758

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let \Bbb Fq be a finite field with q elements and p be a prime with \gcd (p,q)=1 . Let G be a finite abelian p-group and \Bbb Fq(G) be a group algebra. In this paper, we find all primitive idempotents and minimal abelian group codes in the group algebra \Bbb Fq(G) . Furthermore, we give all LCD abelian codes (linear code with complementary dual) and self-orthogonal abelian codes of \Bbb F-q(G) .

引用

页码：2717 / 2728

页数：12

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