On the construction of weighing matrices using negacyclic matrices

Authors

Tianbing Xia, University of Wollongong
Guoxin Zuo, Huazhong Normal University
Mingyuan Xia, Huazhong Normal University
Liantang Lou, South-Central University for Nationalities

Publication Name

Australasian Journal of Combinatorics

Abstract

We construct weighing matrices by 2-suitable negacyclic matrices, and study the conjecture by J. S. Wallis in 1972 that “For every n ≡ 2 (mod 4), there exist weighing matrices W (2n, w) constructed from two circulant / negacyclic (0, ±1) matrices of order n for every 0 < w ≤ 2n.”.

Open Access Status

This publication is not available as open access

Volume

80

First Page

57

Last Page

78