Minimum-weight codewords as generators of generalized Reed-Muller codes

被引：21

作者：

Ding, P ^{[1
]}

Key, JD ^{[1
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2000年 / 46卷 / 06期

基金：

美国国家科学基金会;

关键词：

generalized Reed-Muller codes; minimum-weight vectors;

D O I：

10.1109/18.868484

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish the range of values of rho, where 0 less than or equal to rho less than or equal to m(q - 1), for which the generalized Reed-Muller code R-Fq(rho, m) of length q(m) over the field F-q of order q is spanned by its minimum-weight vectors.

引用

页码：2152 / 2158

页数：7

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