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
收藏
页码：7848 / 7867
页数：20
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