On existence of Williamson symmetric circulant matrices
by Hrishikesh Mahato  

Vol. 6 No. 1 (2011) P.27~P.39

ABSTRACT

In this paper we consider a particular type of partition of $\mathbb{Z}_n$, called $H$-partition and obtain a necessary and sufficient condition for existence of a set of four symmetric circulant matrices for a Hadamard matrix of order $4n$ in terms of such partitions when $n$ odd.

KEYWORDS
Shift matrix, match matrix, mis-match matrix, circulant matrix, Williamson matrix, Hadamard matrix

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 05B20

MILESTONES

Received: 2009-01-12
Revised : 2010-10-05
Accepted: 2010-10-05

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