On the b-distance of repeated-root constacyclic codes of prime power lengths

被引：9

作者：

Dinh, Hai Q. ^{[1
,2
]}

Wang, Xiaoqiang ^{[3
]}

Liu, Hongwei ^{[4
]}

Sriboonchitta, Songsak ^{[5
]}

机构：

[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

[4] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China

[5] Chiang Mai Univ, Fac Econ, Chiang Mai 52000, Thailand

来源：

DISCRETE MATHEMATICS | 2020年 / 343卷 / 04期

关键词：

Constacyclic code; Generator polynomial; Repeated-root code; Simple-root code; Hamming distance; SYMBOL-PAIR CODES; CYCLIC CODES; CONSTRUCTIONS;

D O I：

10.1016/j.disc.2019.111780

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime, s, m be positive integers, lambda be a nonzero element of the finite field F-pm. The b-distance generalizes the Hamming distance (b = 1), and the symbol-pair distance (b = 2). While the Hamming and symbol-pair distances of all lambda-constacyclic codes of length p(s) are completely determined, the general b-distance of such codes was left opened. In this paper, we provide a new technique to establish the b-distance of all lambda-constacyclic codes of length p(s), where 1 <= b <= left perpendicular p/2 right perpendicular. As an application, all MDS b-symbol constacyclic codes of length p(s) over F-pm are obtained. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：11

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