Hamming distance of repeated-root constacyclic codes of length 2ps over Fpm + uFpm

被引：0
|
作者：
Dinh, Hai Q. [1 ,2 ]
Gaur, A. [3 ]
Gupta, Indivar [4 ]
Singh, Abhay K. [5 ]
Singh, Manoj Kumar [3 ,4 ]
Tansuchat, Roengchai [6 ]
机构：
[1] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[3] Univ Delhi, Dept Math, Delhi 110007, India
[4] DRDO, SAG, Metcalfe House, Delhi 110054, India
[5] Indian Inst Technol ISM, Dept Appl Math, Dhanbad, Bihar, India
[6] Chiang Mai Univ, Fac Econ, Ctr Excellence Econometr, Chiang Mai, Thailand
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2020年 / 31卷 / 3-4期
关键词：
Repeated-root codes; Constacyclic codes; Hamming distance; Finite chain rings; CYCLIC CODES; EXPLICIT REPRESENTATION; ENUMERATION;
D O I：
10.1007/s00200-020-00432-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Let p be an odd prime, and delta be an arbitrary unit of the finite chain ring Fpm+uFpm(u2=0). The Hamming distances of all delta-constacyclic codes of length 2ps over Fpm+uFpm are completely determined. We provide some examples from which some codes have better parameters than the existing ones. As applications, we determine all MDS repeated-root delta-constacyclic codes of length 2ps over Fpm+uFpm.
引用
收藏
页码：291 / 305
页数：15
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