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On Construction of Hadamard Matrices
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
This paper describes a speci?c construction of Hadamard matrices of order 4n with the help of two block matrices A and B order n under some conditions. It is tested that this construction works for n=3.Some related results are also given.
Keywords
Block matrices, Hadamard Matrices, Kronecker Product.
References
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[3] E. Tressler, A Survey of the Hadamard Conjecture,‖ M.S. thesis, Fac. of Virginia Polytechnic Institute and State Univ., 2004.
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[5] P. C. Leopardi, Constructions for Hadamard matrices using Clifford algebras, and their relation to amicability/anti-amicability graphs, ‖ Australian Journal of Combinatorics, vol. 58(2), pp. 214–248, 2014
[6] M. A. Morad, A. A. Mahmood, K. H. Hameed,Construction of Sylvester-Hadamard Matrices by Using Binary Code , ‖ J. of al-anbar university for pure science, vol. 3, no.1, 2009
[7] J. Seberry, A construction for Generalized Hadamard matrices, ‖ Journal of statistical planning and Inference 4, pp. 365-368, 1980.
[8] M. K. Singh, P. K. Manjhi, Construction of Hadamard matrices from certain frobenius Groups, ‖ Global Journal of Computer Science and Technology, vol. 4550 (11), 2011.
[9] L. D. Baumert, T. R. M. Hall, Hadamard matrices of the Williamson type, ‖ Math. Comput.19, pp. 442-447, 1965
How to cite this paper
@article{1702324,
author = {W. V. Nishadi, A. A. I. Perera},
title = {On Construction of Hadamard Matrices},
journal = {Iconic Research And Engineering Journals},
year = {2020},
volume = {3},
number = {11},
pages = {261-264},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702324.pdf},
abstract = {This paper describes a speci?c construction of Hadamard matrices of order 4n with the help of two block matrices A and B order n under some conditions. It is tested that this construction works for n=3.Some related results are also given.},
keywords = {Block matrices, Hadamard Matrices, Kronecker Product.},
month = {May},
}