Cyclic codes over of F2m[u]/⟨uk⟩ Moddly even length

被引：0

作者：

Cao, Yonglin ^{[1
]}

Cao, Yuan ^{[2
]}

Fu, Fang-Wei ^{[3
,4
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255091, Shandong, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[3] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[4] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2016年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Cyclic code; Finite chain ring; Non-principal ideal ring; Dual code; Self-dual code; SELF-DUAL CODES; RINGS;

D O I：

10.1007/s00200-015-0281-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Let be a finite field of characteristic 2 and () where satisfies . For any odd positive integer n, it is known that cyclic codes over R of length 2n are identified with ideals of the ring . In this paper, an explicit representation for each cyclic code over R of length 2n is provided and a formula to count the number of codewords in each code is given. Then a formula to calculate the number of cyclic codes over R of length 2n is obtained. Moreover, the dual code of each cyclic code and self-dual cyclic codes over R of length 2n are investigated.

引用

页码：259 / 277

页数：19

共 8 条

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