Cyclic codes of length 5p with MDS symbol-pair

被引：1

作者：

Li, Fengwei ^{[1
,2
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210023, Peoples R China

[2] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2023年 / 91卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Symbol-pair code; MDS symbol-pair code; Cyclic code; ROOT CONSTACYCLIC CODES; DISTANCE SEPARABLE CODES; CONSTRUCTIONS;

D O I：

10.1007/s10623-023-01184-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let p be a prime with 5|(p - 1). Let S be a set of all repeated-root cyclic codes C = (g(x)), (x(5) - 1)|g(x), of length 5p over a field field F-p, whose Hamming distances are at most 7. In this paper, we present a method to find all maximum distance separable (MDS) symbol-pair codes in S. By this method we can easily obtain the results in Ma and Luo (Des Codes Cryptogr 90:121-137, 2022) and new MDS symbol-pair codes, so we remain two possible MDS symbol-pair codes for readers.

引用

页码：1873 / 1888

页数：16

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