Construction of Weighing Matrices W(17, 9) Having the Intersection Number 8 | Designs, Codes and Cryptography Skip to main content
Springer Nature Link
Log in

Construction of Weighing Matrices W(17, 9) Having the Intersection Number 8

  • Published:
Designs, Codes and Cryptography Aims and scope Submit manuscript

Abstract

It is unknown( [1], [2], [4] ) whether there exists a weighing matrix W(17,9) or not. The intersection number of W(17,9) is 6 or 8. We completed the classification of weighing matrices W(17, 9) having the intersection number 8. These matrices are classified into 925 non-equivalent classes. We shall show eight representative weighing matrices only together with their automorphism groups and g-distributions. Of these eight matrices, two have the same g-distribution.

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
¥17,985 /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 includes VAT (Japan)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. C. Chan, C. A. Rodger and J. Seberry, On non-equivalent weighing matrices, ARS Combinatoria, Vol. 21-A (1986) pp. 299-333.

    Google Scholar 

  2. R. Craigen, Weighing matrices and conference matrices, The CRC Handbook of Combinatorial Designs, (C. J. Colbourn and J. H. Dinitz, eds.), CRC Press, Boca Raton, New York, London, Tokyo (1996) pp. 492-498.

    Google Scholar 

  3. A. V. Geramita and J. Seberry, Orthogonal Designs:Quadratic Forms and Hadamard Matrices, Marcel Dekker, NewYork-Basel (1979).

    Google Scholar 

  4. H. Ohmori, Classification of weighing matrices of order 13 and weight 9, Discrete Mathematics, Vol. 116 (1993) pp. 55-78.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Ehime University, Matsuyama, 790-8577, Japan

    Hiroyuki Ohmori & Takashi Miyamoto

Authors
  1. Hiroyuki Ohmori
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Takashi Miyamoto
    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

Ohmori, H., Miyamoto, T. Construction of Weighing Matrices W(17, 9) Having the Intersection Number 8. Designs, Codes and Cryptography 15, 259–269 (1998). https://doi.org/10.1023/A:1008321209012

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008321209012

Search

Navigation