A construction of q-ary linear codes with irreducible cyclic codes

被引：8

作者：

Heng, Ziling ^{[1
,2
]}

Ding, Cunsheng ^{[2
]}

机构：

[1] Changan Univ, Sch Sci, Xian 710064, Shaanxi, Peoples R China

[2] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Clear Water Bay, Hong Kong, Peoples R China

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2019年 / 87卷 / 05期

关键词：

Linear code; Constacyclic code; Weight distribution; Secret sharing scheme;

D O I：

10.1007/s10623-018-0507-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Linear codes are an important class of error-correcting codes and widely used in secret sharing schemes, combinational designs, authentication codes and so on. The objective of this paper is to construct q-ary linear codes with good parameters from irreducible cyclic codes. Several classes of linear codes with a few weights including infinite families of distance-optimal ones are derived. The nonzero codewords of some of the codes in this paper have minimal support for inclusion and such codes can be used to construct secret sharing schemes with interesting access structures.

引用

页码：1087 / 1108

页数：22

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