CONSTACYCLIC CODES OF LENGTH 8ps OVER Fpm + uFpm

被引：2

作者：

Dinh, H. A. I. Q. ^{[1
,2
]}

Nguyen, B. A. C. T. ^{[3
]}

Maneejuk, Paravee ^{[4
]}

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] Thai Nguyen Univ Econ & Business Adm, Thai Nguyen, Vietnam

[4] Chiang Mai Univ, Fac Econ, Ctr Excellence Econometr, Chiang Mai, Thailand

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2022年 / 16卷 / 03期

关键词：

Constacyclic codes; negacyclic codes; cyclic codes; dual codes; repeated-root codes; chain rings; local rings; NEGACYCLIC CODES; CYCLIC CODES; EXPLICIT REPRESENTATION; Z(4); ENUMERATION; 2P(S); 4P(S);

D O I：

10.3934/amc.2020123

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For any odd prime p, the structures and duals of lambda-constacyclic codes of length 8p(s) over R = F-pm + uF(pm) are completely determined for all unit lambda of the form lambda = xi(l) is an element of F-pm , where l is even. In addition, the algebraic structures of all cyclic and negacyclic codes of length 8p(s) over R are established in term of their generator polynomials. Dual codes of all cyclic and negacyclic codes of length 8p(s) over R are also investigated. Furthermore, we give the number of codewords in each of those cyclic and negacyclic codes. We also obtain the number of cyclic and negacyclic codes of length 8p(s) over R.

引用

页码：525 / 570

页数：46

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