Binary cyclic codes with two primitive nonzeros

被引：0

作者：

Tao Feng

KaHin Leung

Qing Xiang

机构：

[1] Zhejiang University,Department of Mathematical Sciences

[2] National University of Singapore,Department of Mathematical Sciences

[3] University of Delaware,Department of Mathematical Sciences

来源：

Science China Mathematics | 2013年 / 56卷

关键词：

cyclic code; minimum weight; Walsh spectrum; 11T71; 94B15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we make some progress towards a well-known conjecture on the minimum weights of binary cyclic codes with two primitive nonzeros. We also determine the Walsh spectrum of Tr(xd) over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{F}_{2^m }$$\end{document} in the case where m = 2t, d = 3+2t+1 and gcd(d, 2m − 1) = 1.

引用

页码：1403 / 1412

页数：9

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