Cyclic and negacyclic codes of length 4ps over Fpm + uFpm

被引：19

作者：

Dinh, Hai Q. ^{[1
,2
,3
]}

Sharma, Anuradha ^{[4
]}

Rani, Saroj ^{[5
]}

Sriboonchitta, Songsak ^{[6
]}

机构：

[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] Kent State Univ, Dept Math Sci, 4314 Mahoning Ave, Warren, OH 44483 USA

[4] IIT Delhi, Dept Math, New Delhi 110020, India

[5] IIIT Delhi, Dept Math, New Delhi 110016, India

[6] Chiang Mai Univ, Fac Econ, Chiang Mai 52000, Thailand

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 09期

关键词：

Residue codes; torsion codes; repeated-root codes; cyclic codes; negacyclic codes; chain rings; CONSTACYCLIC CODES; 2P(S); 2(S);

D O I：

10.1142/S0219498818501736

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F(p)m be the finite field of order p(m), where p is an odd prime and m is a positive integer. In this paper, we determine the algebraic structures of all cyclic and negacyclic codes of length 4p(s) over the finite commutative chain ring R = F(p)m + uF(p)m, where u(2) = 0 and s is a positive integer. We also obtain the number of codewords in each of these codes. Among others, we establish the duals of all such codes and derive some self-dual cyclic and negacyclic codes of length 4ps over R.

引用

页数：22

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