The Classification of Circulant Weighing Matrices of Weight 16 and Odd Order

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we completely classify the circulant weighing matrices of weight 16 and odd order. It turns out that the order must be an odd multiple of either 21 or 31. Up to equivalence, there are two distinct matrices in CW(31,16), one matrix in CW(21,16) and another one in CW(63,16) (not obtainable by Kronecker product from CW(21,16)). The classification uses a multiplier existence theorem.
38 pages

Keywords

Combinatorics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910164
 http://arxiv.org/abs/math/9910164

Collections

arXiv