Skip to main content

Hadamard equivalence

Contributed Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 686)

Abstract

We introduce a new measure, the profile, of an Hadamard matrix, which seems to be useful as an indicator of Hadamard equivalence. Some results on the profile are given, and its usefulness is indicated in the case of matrices of order 36.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F.C. Bussemaker and J.J. Seidel, Symmetric Hadamard matrices of order 36. Report 70-WSK-02, Technological University, Eindhoven, 1970.

    MATH  Google Scholar 

  2. R.A. Fisher & F. Yates, Statistical Tables For Biological, Agricultural and Medical Research, 2nd Ed., Oliver & Boyd, 1943.

    Google Scholar 

  3. J-M. Goethals and J.J. Seidel, Strongly regular graphs derived from combinatorial designs. Canadian J. Math. 22 (1970), 597–614.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Marshall Hall Jr., Hadamard matrices of order 16, JPL Research Summary No. 36-10, 1 (1961), 21–26.

    Google Scholar 

  5. Marshall Hall Jr., Hadamard matrices of order 20, JPL Technical Report No. 32–76, 1 (1965).

    Google Scholar 

  6. R.A. Kingsley and R.G. Stanton, A survey of certain balanced incomplete block designs, Proc. 3rd S-E Conf. Combinatorics, Graph Theory and Computing, UMPI (1972), 305–310.

    Google Scholar 

  7. Morris Newman, Integral Matrices, Academic Press, New York (1972).

    MATH  Google Scholar 

  8. W.D. Wallis, Integral equivalence of Hadamard matrices, Israel J. Math. 10 (1971), 359–368.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. W.D. Wallis, Some notes on integral equivalence of combinatorial matrices, Israel J. Math. 10 (1971), 457–464.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. W.D. Wallis, On the number of inequivalent Hadamard matrices, Proc. 2nd Manitoba Conference Numerical Math., UMPI (1972), 383–401.

    Google Scholar 

  11. W.D. Wallis, On the weights of Hadamard matrices, Ars Combinatoria (to appear).

    Google Scholar 

  12. W.D. Wallis, Anne Penfold Street and Jennifer Seberry Wallis, Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices, Springer-Verlag, Berlin (1972).

    CrossRef  Google Scholar 

  13. W.D. Wallis and Jennifer Wallis, Equivalence of Hadamard matrices, Israel J. Math. 7 (1969), 122–128.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Albert Leon Whiteman Hadamard matrices of order 4(2p+1), J. Number Theory 8 (1976), 1–11.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Cooper, J., Milas, J., Wallis, W.D. (1978). Hadamard equivalence. In: Holton, D.A., Seberry, J. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062525

Download citation

  • DOI: https://doi.org/10.1007/BFb0062525

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08953-7

  • Online ISBN: 978-3-540-35702-5

  • eBook Packages: Springer Book Archive