Some new results on circulant weighing matrices

被引：13

作者：

Arasu, KT

Ma, SL

机构：

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

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

[3] Ohio State Univ, Columbus, OH 43210 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2001年 / 14卷 / 02期

基金：

美国国家科学基金会;

关键词：

weighing matrices; circulant; group rings; characters;

D O I：

10.1023/A:1011903510338

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a few structural theorems for circulant weighing matrices whose weight is the square of a prime number. Our results provide new schemes to search for these objects. We also establish the existence status of several previously open cases of circulant weighing matrices. More specifically we show their nonexistence for the parameter pairs (n, k) (here n is the order of the matrix and k its weight) = (147, 49), (125, 25), (200, 25), (55, 25), (95, 25), (133, 49), (195, 25), (11w, 121) for w < 62.

引用

页码：91 / 101

页数：11

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