On b-Symbol Distances of Repeated-Root Constacyclic Codes

被引：2

作者：

Sharma, Anuradha ^{[1
]}

Sidana, Tania ^{[1
]}

机构：

[1] IIIT Delhi, Dept Math, New Delhi 110020, India

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2019年 / 65卷 / 12期

关键词：

Cyclic codes; negacyclic codes; local rings; optimal codes; CYCLIC CODES; EFFICIENT RECONSTRUCTION; SEPARABLE CODES; PAIR DISTANCE;

D O I：

10.1109/TIT.2019.2937858

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let p be a prime, s be a positive integer, and let b be an integer satisfying 2 <= b < p(s). In this paper, we obtain b-symbol distances of all repeated-root constacyclic codes of length p(s) over finite fields. Using this result, we determine b-symbol distances of all repeated-root constacyclic codes of length p(s) over finite commutative chain rings. We also list all MDS b-symbol repeated-root constacyclic codes of length p(s) over finite fields, and all MDS b-symbol repeated-root constacyclic codes of length p(s) over finite commutative chain rings in general.

引用

页码：7848 / 7867

页数：20

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