A class of constacyclic codes over Zpm

被引：15
|
作者：
Zhu, Shixin [1 ,2 ]
Kai, Xiaoshan [1 ,2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2010年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Constacyclic codes; Galois rings; Generator polynomials; Discrete Fourier transform; FINITE CHAIN RINGS; NEGACYCLIC CODES; CYCLIC CODES; EVEN LENGTH; Z(4); 2(S); DISTANCES;
D O I：
10.1016/j.ffa.2010.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study (1 + lambda p)-constacyclic codes over Z(pm) of an arbitrary length, where lambda is a unit of Z(pm) and m >= 2 is a positive integer. We first derive the structure of (1 + lambda p)-constacyclic codes of length p(s) over GR(p(m), a) and determine the Hamming and homogeneous distances of such constacyclic codes. These codes are then used to classify all (1 + lambda p)-constacyclic codes over Z(pm) of length N = p(s)n (n prime to p). In particular, the Gray images of (1 + lambda p)-constacyclic codes over Z(p2) are also discussed. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：243 / 254
页数：12
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