Skip to main content
SpringerLink
Log in

Classification of spreads ofPG(3, 4)∖PG(3, 2)

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

Abstract

We show that the 800 spreads ofPG(3, 4)∖PG(3, 2) fall into three orbits of sizes 120, 120 and 560, under the action of its automorphism group.

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. Blokhuis, A. and Metsch, K. .On the number of lines of a maximal partial spread,Designs, Codes and Cryptography.

  2. Hall, J.I. 1980. On identifyingPG(3, 2) and the complete 3-design on seven points, in: Topics on Steiner Systems,Annals of Discrete Mathematics 7 Amsterdam: North-Holland, pp. 131–141.

    Google Scholar 

  3. Hirschfeld, J. W. P. 1985. Finite projective spaces of three dimensions. Oxford: Oxford University Press.

    Google Scholar 

  4. Mesner, D.M. 1967. Sets of disjoint lines inPG(3,q).Canad. J. Math. 19:273–280.

    Google Scholar 

  5. Wagner, A. 1961. On collineation groups of projective spaces. I.Math. Z. 76:411–426.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Econometrics, Tilburg University, P.O. Box 90153, 5000 LE, Tilburg, The Netherlands

    Edwin R. van Dam

Authors
  1. Edwin R. van Dam
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by D. Jungnickel

Rights and permissions

Reprints and permissions

About this article

Cite this article

van Dam, E.R. Classification of spreads ofPG(3, 4)∖PG(3, 2). Des Codes Crypt 3, 193–198 (1993). https://doi.org/10.1007/BF01388480

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388480

Keywords

Search

Navigation