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An alternative method for constructing Hadamard matrices

Authors:

A. P. Batuwita ,

University of Uva Wellassa, LK
About A. P.
Department of Science and Technology
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N. T. S. G. Gamachchige,

University of Uva Wellassa, LK
About N. T. S. G.
Department of Science and Technology
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P. G. R. S. Ranasinghe,

University of Peradeniya, LK
About P. G. R. S.
Department of Mathematics, Faculty of Science
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A. A. I. Perera

University of Peradeniya, LK
About A. A. I.
Department of Mathematics, Faculty of Science
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Abstract

Symmetric Hadamard matrices are investigated in this research and an alternative method of construction is introduced. Using the proposed method, we can construct Hadamard matrices of order 2n+1(q+1) where q ≡ 1 (mod 4) and n ≥ 1.

 

This construction can be used to construct an infinite number of Hadamard matrices. For the present study, we use quadratic non-residues over a finite field.
DOI: https://doi.org/10.4038/jsc.v12i2.33
How to Cite: Batuwita, A.P., Gamachchige, N.T.S.G., Ranasinghe, P.G.R.S. and Perera, A.A.I., 2021. An alternative method for constructing Hadamard matrices. Journal of Science, 12(2), pp.26–32. DOI: http://doi.org/10.4038/jsc.v12i2.33
Published on 28 Dec 2021.
Peer Reviewed

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