Hadamard matrices constructed by circulant and negacyclic matrices

Authors

Tianbing Xia, University of WollongongFollow
Mingyuan Xia, Cental China Normal University
Jennifer Seberry, University of WollongongFollow
Jing Wu, University of Wollongong

RIS ID

17705

Publication Details

Xia, T., Xia, M., Seberry, J. R. & Wu, J. (2006). Hadamard matrices constructed by circulant and negacyclic matrices. Australasian Journal of Combinatorics, 34 105-116.

Abstract

In this paper we establish a correspondence between circulant and negacyclic matrices of order n for n odd, give the definition of suitable matrices, and show several new methods for constructing compsite suitable negacyclic (circulant) matrices from base sequences and suitable negacyclic (circulant) matrices under some general conditions.