Skip to main content
SpringerLink
Log in

Some New Hadamard matrices

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

Abstract

Dicyclic solutions to BIBDs with parameters (2t + 1, 4t + 2, 2t, t, t − 1) can be embedded in a Hadamard matrix of order 4t + 4. New Hadamard matrices of order 44 are constructed using this embedding.

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

Access this article

Log in via an institution

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. Bhat-Nayak, V.N., Wirmani-Prasad, A.: Three new dicyclic solutions of (21, 42, 20, 10, 9)-designs. J. Comb. Theory (A)40, 427–428 (1985)

    Google Scholar 

  2. Bose, R.C.: On the construction of balanced incomplete block designs. Ann. Eugenics9, 353–399 (1939)

    Google Scholar 

  3. Leon, J.: An algorithm for computing the automorphism group of a Hadamard matrix. J. Comb. Theory (A)27, 289–306 (1979)

    Google Scholar 

  4. Wallis, J., Street, A.P., Wallis, W.: Combinatorics: Room Squares, Sum-free Sets and Hadamard Matrices. Lecture Notes in Mathematics 292. Berlin-Heidelberg-New York: Springer-Verlag 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre of Advanced Study in Mathematics, University of Bombay, 400 098, Bombay, India

    V. N. Bhat-Nayak & A. Wirmani-Prasad

  2. Department of Applied Mathematics, Konan University, 658, Kobe, Japan

    N. Ito

Authors
  1. V. N. Bhat-Nayak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Ito
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Wirmani-Prasad
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bhat-Nayak, V.N., Ito, N. & Wirmani-Prasad, A. Some New Hadamard matrices. Graphs and Combinatorics 3, 221–225 (1987). https://doi.org/10.1007/BF01788544

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01788544

Keywords

Search

Navigation