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Linear codes with few weights from inhomogeneous quadratic functions
被引：0
作者：
Chunming Tang
Can Xiang
Keqin Feng
机构：
[1] China West Normal University,School of Mathematics and Information
[2] South China Agricultural University,College of Mathematics and Informatics
[3] Tsinghua University,Department of Mathematical Sciences
来源：
Designs, Codes and Cryptography
|
2017年
/
83卷
关键词：
Linear codes;
Weight distribution;
Quadratic forms;
Cyclotomic fields;
94A24;
94B35;
94B15;
94A55;
D O I：
暂无
中图分类号：
学科分类号：
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 GF(p)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${\mathrm {GF}}(p)$$\end{document}, 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.
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页码：691 / 714
页数：23
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