Complete classification of (δ plus αu2)-constacyclic codes over F2m[u]/⟨u4⟩ of oddly even length

被引：8

作者：

Cao, Yuan ^{[1
]}

Cao, Yonglin ^{[1
]}

Ma, Fanghui ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255091, Shandong, Peoples R China

来源：

DISCRETE MATHEMATICS | 2017年 / 340卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Constacyclic code; Linear code; Finite chain ring; Additive code; SELF-DUAL CODES; CYCLIC CODES; CONSTACYCLIC CODES; RINGS;

D O I：

10.1016/j.disc.2017.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-2m be a finite field of cardinality 2(m), R = F-2m[u]/< u(4)> and n be an odd positive integer. For any delta, alpha is an element of F-2m(x) ideals of the ring R[x]/< x(2n) - (delta + alpha u(2))> are identified as (delta+alpha u(2))-constacyclic codes of length 2n overR. In this paper, an explicit representation and enumeration for all distinct (delta + alpha u(2))-constacyclic codes of length 2n over R are presented. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：2840 / 2852

页数：13

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