Circulant weighing matrices of weight 22t

Authors:
K. T. Arasu;Ka Hin Leung;Siu Lun Ma;Ali Nabavi;D. K. Ray-Chaudhuri
Affiliations:
Department of Mathematics and Statistics, Wright State University, Dayton, USA 45435;Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore 119260;Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore 119260;Department of Mathematical Sciences, University of Nevada--Las Vegas, Las Vegas, USA 89154;Department of Mathematics, Ohio State University, Columbus, USA 43210
Venue:
Designs, Codes and Cryptography
Year:
2006

Citing 6
Cited 2

Abelian Difference Sets Without Self-conjugacy

Designs, Codes and Cryptography
Cyclic relative difference sets with classical parameters

Journal of Combinatorial Theory Series A
Some New Results on Circulant Weighing Matrices

Journal of Algebraic Combinatorics: An International Journal
Constructions of relative difference sets with classical parameters and circulant weighing matrices

Journal of Combinatorial Theory Series A
Symmetric Weighing Matrices Constructed using Group Matrices

Designs, Codes and Cryptography
Determination of all possible orders of weight 16 circulant weighing matrices

Finite Fields and Their Applications

Finiteness of circulant weighing matrices of fixed weight

Journal of Combinatorial Theory Series A
Circulant weighing matrices whose order and weight are products of powers of 2 and 3

Journal of Combinatorial Theory Series A

Quantified Score

Hi-index	0.00

Visualization

Abstract

A weighing matrix of weight k is a square matrix M with entries 0, 卤 1 such that MM T = kI n . We study the case that M is a circulant and k = 22t 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.