SKEW CONSTACYCLIC CODES OVER FINITE COMMUTATIVE SEMI-SIMPLE RINGS

被引：4

作者：

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

Bac Trong Nguyen ^{[3
,4
]}

Sriboonchitta, Songsak ^{[5
]}

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] Nguyen Tat Thanh Univ, 300 A Nguyen Tat Thanh St, Ho Chi Minh City, Vietnam

[4] Thai Nguyen Univ, Univ Econ & Business Adm, Dept Basic Sci, Ho Chi Minh City, Thai Nguyen Pro, Vietnam

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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 02期

关键词：

cyclic codes; constacyclic codes; dual codes; skew Theta-cyclic codes; skew Theta-negacyclic codes; skew Theta-lambda-constacyclic codes; CYCLIC CODES;

D O I：

10.4134/BKMS.b180314

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates skew Theta-lambda-constacyclic codes over R = F-0 circle plus F-1 circle plus ... circle plus Fk-1, where F-i 's are finite fields. The structures of skew lambda-constacyclic codes over finite commutative semi-simple rings and their duals are provided. Moreover, skew lambda-constacyclic codes of arbitrary length are studied under a new definition. We also show that a skew cyclic code of arbitrary length over finite commutative semi-simple rings is equivalent to either a cyclic code over R or a quasi-cyclic code over R.

引用

页码：419 / 437

页数：19

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