On a Class of (δ plus αu2)-Constacyclic Codes over Fq[u] =/⟨u4⟩

被引：7

作者：

Cao, Yuan ^{[1
]}

Cao, Yonglin ^{[2
]}

Gao, Jian ^{[2
]}

机构：

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

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

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2016年 / E99A卷 / 07期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

constacyclic code; dual code; self-dual code; finite chain ring; SELF-DUAL CODES; CYCLIC CODES;

D O I：

10.1587/transfun.E99.A.1438

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let F-q be a finite field of cardinality q, R = F-q[u]/< u(4)> = F-q + uF(q) + u(2)F(q) + u(3)F(q) (u(4) = 0) which is a finite chain ring, and n be a positive integer satisfying gcd(q, n) = 1. For any delta, alpha is an element of F-q(x), an explicit representation for all distinct (delta + alpha u(2))-constacyclic codes over R of length n is given, and the dual code for each of these codes is determined. For the case q = 2(m) and delta = 1, all self-dual (1 + alpha u(2))-constacyclic codes over R of odd length n are provided.

引用

页码：1438 / 1445

页数：8

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