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1702324 Vol 3 · Issue 11 Download Paper

On Construction of Hadamard Matrices

W. V. Nishadi A. A. I. Perera

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

[1] K. J. Horadam, Hadamard matrices and their applications, ‖ Princeton University press, 2007.

[2] A. Hedayat, W. D. Waliis, Hadamard matrices and their applications, ‖ The Annals of Statistics, vol. 6, no. 6, pp. 1184-1238, 1978.

[3] E. Tressler, A Survey of the Hadamard Conjecture,‖ M.S. thesis, Fac. of Virginia Polytechnic Institute and State Univ., 2004.

[4] M. Miyamoto, A construction of Hadamard matrices, ‖ Journal of combinatorial theory, pp. 86-108, 1991.

[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

W. V. Nishadi, A. A. I. Perera "On Construction of Hadamard Matrices" Iconic Research And Engineering Journals Volume 3 Issue 11 2020 Page 261-264
W. V. Nishadi, A. A. I. Perera "On Construction of Hadamard Matrices" Iconic Research And Engineering Journals, vol. 3, no. 11, May. 2020
W. V. Nishadi, A. A. I. Perera (2020). On Construction of Hadamard Matrices. Iconic Research And Engineering Journals, 3(11).
W. V. Nishadi, A. A. I. Perera "On Construction of Hadamard Matrices" Iconic Research And Engineering Journals, vol. 3, no. 11, May. 2020.
@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},
  }