Skip to main content
Log in

On a Family of Covering Extended Building Sets

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

Abstract

Recently Davis and Jedwab introduced the notion of covering extended building sets to construct abelian difference sets. In this paper we consider a family of covering extended building sets similar to the ones corresponding to Hadamard difference sets and Spence difference sets and derive some numerical restrictions on the parameters.

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

Access this article

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

    Google Scholar 

  2. Y. Q. Chen, On the existence of abelian Hadamard difference sets and a new family of difference sets, Finite Fields Appl., Vol. 3 (1997) pp. 234-256.

    Google Scholar 

  3. Y. Q. Chen, A construction of difference sets, Des. Codes Cryptogr., Vol. 13 (1998) pp. 247-250.

    Google Scholar 

  4. J. A. Davis and J. Jedwab, A unifying construction for difference sets, J. Combin. Theory Ser., Vol. A 80 (1997), pp. 13-78.

    Google Scholar 

  5. J. A. Davis and J. Jedwab, Some recent developments in difference sets, preprint (1997).

  6. D. Jungnickel, Difference sets, Contemporary Design Theory: a Collection of Surveys (J. H. Dinitz and D. R. Stinson, eds.), Wiley, New York (1992) pp. 241-324.

    Google Scholar 

  7. D. Jungnickel and B. Schmidt, Difference sets: an Update, Geometry, Combinatorial Designs and Related Structures (J. W. P. Hirschfeld, S. S. Magliveras and M. J. de Resmini, eds.), Cambridge University Press, Cambridge (1997) pp. 89-112.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, Y.Q. On a Family of Covering Extended Building Sets. Designs, Codes and Cryptography 17, 69–72 (1999). https://doi.org/10.1023/A:1008350403923

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008350403923

Navigation