Good codes from metacyclic groups

被引：9

作者：

Assuena, Samir ^{[1
]}

Milies, Cesar Polcino ^{[2
,3
]}

机构：

[1] Ctr Univ FEI, Av Humberto de Alencar Castelo Branco 3972, BR-09850901 Sao Bernardo Do Campo, SP, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo, SP, Brazil

[3] Univ Fed ABC, Av Estados 5001, BR-09210580 Santo Andre, SP, Brazil

来源：

RINGS, MODULES AND CODES | 2019年 / 727卷

基金：

巴西圣保罗研究基金会;

关键词：

Semisimple group algebras; finite groups; split metacyclic groups; primitive idempotents;

D O I：

10.1090/conm/727/14623

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider semisimple group algebras F(q)G of split metacyclic groups over finite fields. We construct left codes in F(q)G in the case when the order G is p(m) l(n), where p and l are different primes such that gcd(q, p, l) = 1.

引用

页码：39 / 47

页数：9

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