Linear codes with few weights from inhomogeneous quadratic functions

被引：32

作者：

Tang, Chunming ^{[1
]}

Xiang, Can ^{[2
]}

Feng, Keqin ^{[3
]}

机构：

[1] China West Normal Univ, Sch Math & Informat, Nanchong 637002, Sichuan, Peoples R China

[2] South China Agr Univ, Coll Math & Informat, Guangzhou 510642, Guangdong, Peoples R China

[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2017年 / 83卷 / 03期

关键词：

Linear codes; Weight distribution; Quadratic forms; Cyclotomic fields; AUTHENTICATION CODES; 3-WEIGHT CODES; CYCLIC CODES; CONSTRUCTION; DISTRIBUTIONS; SCHEMES;

D O I：

10.1007/s10623-016-0267-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Linear codes with few weights have been an interesting subject of study for many years, as these codes have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, linear codes with few weights are constructed from inhomogeneous quadratic functions over the finite field , where p is an odd prime. They include some earlier linear codes as special cases. The weight distributions of these linear codes are also determined.

引用

页码：691 / 714

页数：24

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