Two classes of two-weight linear codes

被引：54

作者：

Heng, Ziling ^{[1
,2
]}

Yue, Qin ^{[1
,2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Jiangsu, Peoples R China

[2] State Key Lab Cryptol, POB 5159, Beijing 100878, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2016年 / 38卷

基金：

中央高校基本科研业务费专项资金资助;

关键词：

Gauss period; Secret sharing scheme; Linear code; Hamming weight; SECRET SHARING SCHEMES; CYCLIC CODES; WEIGHT DISTRIBUTIONS;

D O I：

10.1016/j.ffa.2015.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-weight linear codes have many wide applications in authentication codes, association schemes, strongly regular graphs, and secret sharing schemes. In this paper, we present two classes of two-weight binary or ternary linear codes. In some cases, they are optimal or almost optimal. They can also be used to construct secret sharing schemes. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：72 / 92

页数：21

共 21 条

[1]

Calderbank A R, 1986, B LOND MATH SOC, V18, P97

[2] Linear codes from perfect nonlinear mappings and their secret sharing schemes [J].