Skip to main content
Springer Nature Link
Log in

New Hadamard matrix of order 24

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

Abstract

In this paper we give a new Hadamard matrix of order 24 and its properties. This matrix must be appear in [11]. By this paper and Ito-Leon-Longyear [3] the classification of Hadamard matrices of order 24 is completed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Hall, M. Jr.: Combinatorial Theory. Boston: Ginn (Blaisdell) 1967

    Google Scholar 

  2. Ito, N., Leon, J.S., Longyear, J.Q.: The 24-dimensional Hadamard matrices and their automorphism groups (unpublished)

  3. Ito, N., Leon, J.S., Longyear, J.Q.: Classification of 3-(24, 12, 5) designs and 24-dimensional Hadamard matrices. J. Comb. Theory (A)27, 289–306 (1979)

    Google Scholar 

  4. Kimura, H.: Hadamard matrices of order 28 with automorphism groups of order two. J. Comb. Theory (A)43, 98–102 (1986)

    Google Scholar 

  5. Kimura, H.: On equivalence of Hadamard matrices. Hokkaido Math. J.17, 139–146 (1988)

    Google Scholar 

  6. Kimura, H.: Table ofH-matrices and K-boxes of order 24 (unpublished)

  7. Kimura, H., Ohmori, H.: Construction of Hadamard matrices of order 28. Graphs and Combinatorics2, 247–257 (1986)

    Google Scholar 

  8. Kimura, H., Ohmori, H.: Hadamard matrices of order 28. Memoirs of the Faculty of Education, Ehime Univ.7, 7–57 (1987)

    Google Scholar 

  9. Leon, J.S.: An algorithm for computing the automorphism group of a Hadamard matrix. J. Comb. Theory (A)27, 287–306 (1979)

    Google Scholar 

  10. Longyear, J.Q.: There is one Hadamard matrix of order 24 and both characters 1. Second International Conference on Combinatorial Mathematics. Annals of the New York Academy of Science319, 354–361 (1979)

    Google Scholar 

  11. Longyear, J.Q.: If a Hadamard of order 24 has character exactly 2, its transpose is known, in Theory and Applications of Groups. Lect. Notes Math.642, 353–363, (1978)

    Google Scholar 

  12. Longyear, J.Q.: Order 24 Hadamard matrices of character at least 3. J. Comb. Theory (A)27, 100–118 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ehime University, 790, Matsuyama, Japan

    Hiroshi Kimura

Authors
  1. Hiroshi Kimura
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Professor Tosiro Tsuzuku on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kimura, H. New Hadamard matrix of order 24. Graphs and Combinatorics 5, 235–242 (1989). https://doi.org/10.1007/BF01788676

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01788676

Keywords

Search

Navigation