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Construction of Association Schemes and Coherent Configuration from Williamson’s Hadamard Matrices and their Properties

Author Affiliations

  • 1University Department of Mathematics, Ranchi University Ranchi, 834008, Jharkhand, India
  • 2Department of Mathematics, Nirmala College, Ranchi, 834002, Jharkhand, India

Res. J. Recent Sci., Volume 5, Issue (11), Pages 44-46, November,2 (2016)

Abstract

Association Schemes and Coherent Configurations have been constructed from Williamson’s H-matrices. We have also described their properties.

References

  1. Hall M. (1986)., Combinatorial Theory., Wiley, New York 2nd edition.
  2. Hedayat A. and Wallis W.D. (1978)., Hadamard matrices and their applications., Ann.Statist., 6, 1184-1238
  3. Horadam K.J. (2007)., Hadamard Matrices and Their Applications., Princeton University Press.
  4. Hanaki A. (2000)., Skew-Symmetric Hadamard Matrices and Association Scheme., SUT Journal of Mathematics, 36(2), 251-258
  5. Godsil D. and Song S.Y. (2007)., Association Scheme in Handbook of Combinatorial Designs., ed. C.J.Colbourn and J.H. Dinitz, 2nd ed. Chapman and Hall, CRC, Boca Raton
  6. Craigen R. and Kharghani H. (2007)., Hadamard matrices and Hadamard designs in Handbook of Combinatorial designs., eds C.J. Colbourn and J.H. Dinitz, 2nd edition, Chapman and Hall/CRC, Boca Raton.
  7. Turyn R.J. (1972)., An infinite class of Williamson Matrices., J.Combinatorial Theory Ser.A, 12, 319-321.