Skip to main content
Log in

A characterization of designs related to the Witt systemS(5,8,24)

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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.

References

  1. Assmus, E.F. Jr., Mattson, H.F. Jr., Guza, M.: Self-orthogonal Steiner systems and projective planes. Math. Z.138, 89–96 (1974)

    Google Scholar 

  2. Beth, T., Jungnickel, D.: Mathieu groups, Witt designs, and Golay codes. Lecture Notes in Math.893, 157–169 (1981)

    Google Scholar 

  3. Cameron, P.J., van Lint, J.H.: Graphs, codes and designs. LMS Lecture Notes43, Cambridge: University Press 1980

    Google Scholar 

  4. Carmichael, R.D.: Introduction to the theory of groups of finite order. New York: Boston 1937

  5. Curtis, R.T.: A new combinatorial approach toM 24. Math. Proc. Camb. Philos. Soc.79, 25–41 (1976)

    Google Scholar 

  6. Goethals, J.M., Seidel, J.J.: Strongly regular graphs derived from combinatorial designs. Can. J. Math.22, 597–614 (1970)

    Google Scholar 

  7. van Lint, J.H.: Introduction to coding theory. Berlin-Heidelberg-New York: Springer 1982

    Google Scholar 

  8. Lüneburg, H.: Transitive Erweiterungen endlicher Permutationsgruppen. Lecture Notes in Mathematics84. Berlin-Heidelberg-New York: Springer 1969

    Google Scholar 

  9. MacWilliams, F.J., Sloane, N.J.A.: The theory of error-correcting codes. Amsterdam: North Holland 1978

    Google Scholar 

  10. Pless, V.: A classification of self-orthogonal codes overGF (2). Discrete Math.3, 209–246 (1972)

    Google Scholar 

  11. Pless, V., Sloane, N.J.A.: On the classification and enumeration of self-dual codes. J. Comb. Theory A18, 313–335 (1975)

    Google Scholar 

  12. Tonchev, V.D.: Quasi-symmetric designs and self-dual codes. Eur. J. Comb. (to appear)

  13. Witt, E.: Die 5-fach transitiven Gruppen von Mathieu. Abh. Math. Semin. Univ. Hamb.12, 256–264 (1938)

    Google Scholar 

  14. Witt, E.: Über Steinersche Systeme. Abh. Math. Semin. Univ. Hamb.12, 265–275 (1938)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tonchev, V.D. A characterization of designs related to the Witt systemS(5,8,24). Math Z 191, 225–230 (1986). https://doi.org/10.1007/BF01164026

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01164026

Navigation