Skip to main content
Log in

Abstract

Several new constructions for difference matrices are given. One classof constructions uses pairwise balanced designs to develop newdifference matrices over the additive group of GF (q). A second class of constructions gives difference matrices overgroups whose orders are not (necessarily) prime powers.

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

Access this article

Subscribe and save

Springer+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. J. R. Abel and Y. W. Cheng, Some new MOLS of order 2 n p for p a prime power, Austral. J. Combin., 10 (1994) pp. 175–186.

    Google Scholar 

  2. T. Beth, D. Jungnickel, and H. Lenz, Design Theory, Cambridge University Press (1986).

  3. W. de Launey, A survey of generalized Hadamard matrices and difference matrices D (k, λ; G) with large k, Util. Math., 30 (1986) pp. 5–29.

    Google Scholar 

  4. W. de Launey, On difference matrices, transversal designs, resolvable transversal designs, and large sets of mutually orthogonal F-squares, J. Stat. Plan. Infer., 16 (1987) pp. 107–125.

    Google Scholar 

  5. S. Furino, Existence results for near resolvable designs, J. Comb. Designs, 3 (1995) pp. 101–113.

    Google Scholar 

  6. A. S. Hedayat, N. J. A. Sloane, and J. Stufken, Orthogonal Arrays, to appear.

  7. D. Jungnickel, On difference matrices, resolvable transversal designs and generalized Hadamard matrices, Math. Z., 167 (1979) pp. 49–60.

    Google Scholar 

  8. R. Mathon and A. Rosa, Tables of parameters of BIBDs with r · 41 including Existence, Enumeration, and Resolvability Results, Ann. Disc. Math., 26 (1985) pp. 275–308.

    Google Scholar 

  9. S. S. Shrikhande, Generalized Hadamard matrices and orthogonal arrays of strength 2, Canad. J. Math.,16 (1964) pp. 131–141.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Colbourn, C.J., Kreher, D.L. Concerning Difference Matrices. Designs, Codes and Cryptography 9, 61–70 (1996). https://doi.org/10.1023/A:1027389907339

Download citation

  • Issue date:

  • DOI: https://doi.org/10.1023/A:1027389907339