(1+λu)-Constacyclic codes over Fp[u]/⟨um⟩

被引：34

作者：

Kai, Xiaoshan ^{[1
,2
]}

Zhu, Shixin ^{[1
,2
]}

Li, Ping ^{[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：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Linear codes; Constacyclic codes; Gray map; Generator polynomial; SELF-DUAL CODES; FINITE CHAIN RING; CYCLIC CODES; NEGACYCLIC CODES; LINEAR CODES; CONSTACYCLIC CODES; EVEN LENGTH; IMPROVEMENTS; BOUNDS; Z(4);

D O I：

10.1016/j.jfranklin.2010.02.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Motivated by the work in [1] of Abualrub and Siap (2009), we investigate (1 + lambda u)-constacyclic codes over F-p[u]/< u(m)> of an arbitrary length, where lambda is an on zero element of F-p. We find the generator polynomials of (1 + lambda u)-constacyclic codes over F-p[u]/< u(m)>, and determine the number of (1 + lambda u)-constacyclic codes over F-p[u]/< u(m)> for a given length, as well as the number of code words in each such code. Some optimal linear codes over F-3 and F-5 are constructed from (1 + lambda u)-constacyclic codes over F-p + uF(p) under a Gray map. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：751 / 762

页数：12

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