A class of cyclic codes whose duals have five zeros

被引:0
作者
Yan Liu
Chunlei Liu
机构
[1] Yancheng Institute of Technology,College of Mathematics and Physics
[2] Shanghai Jiaotong University,Department of Mathematics
来源
Designs, Codes and Cryptography | 2016年 / 81卷
关键词
Cyclic code; Quadratic form; Weight distribution; 94B15; 11T71;
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摘要
In this paper, a family of cyclic codes over Fp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_{p}$$\end{document} whose duals have five zeros is presented, where p is an odd prime. Furthermore, the weight distribution of these cyclic codes is determined.
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页码:225 / 238
页数:13
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