Circulant weighing matrices of weight 22t supercript stop

被引：11

作者：

Arasu, K. T. ^{[1
]}

Leung, Ka Hin

Ma, Siu Lun

Nabavi, Ali

Ray-Chaudhuri, D. K.

机构：

[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[3] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

[4] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2006年 / 41卷 / 01期

关键词：

weighing matrices; circulant; group rings; characters; multipliers;

D O I：

10.1007/s10623-006-0026-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A weighing matrix of weight k is a square matrix M with entries 0, +/- 1 such that MMT = kI (n) . We study the case that M is a circulant and k = 2(2t) for some positive integer t. New structural results are obtained. Based on these results, we make a complete computer search for all circulant weighing matrices of order 16.

引用

页码：111 / 123

页数：13

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