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2011 / March Volume 6 No.1
On existence of Williamson symmetric circulant matrices
Published Date
2011 / March
Title
On existence of Williamson symmetric circulant matrices
Author
Hrishikesh Mahato
Keyword
Shift matrix, match matrix, mis-match matrix, circulant matrix, Williamson matrix, Hadamard matrix, Shift matrix, match matrix, mis-match matrix, circulant matrix, Williamson matrix, Hadamard matrix
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Pagination
27-39
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.
AMS Subject
Classification
05B20
Received
2010-10-05
Accepted
2010-10-05
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