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Pseudo-triple-sum-sets and association schemes

  • Llorenc Huguet
  • Josep Rifà
  • Mercè Griera
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 229)

Abstract

We introduce and characterize pseudo-triple-sum-sets as a natural extension of triple-sum-sets. We Show that if Ω is the set of coordinate forms of a linear projective code C(n,k) over F=GF(q) and if \(\widehat\Omega\)=F. Ω is a pseudo-triple-sum-set then C can be considered as a three classes association subscheme of the Hamming scheme H(n,q).

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References

  1. (1).
    COURTEAU,B. and WOLFMANN,j. “On triple-sum-sets and two or three weights codes”. Discrete Mathematics. 50 (1984)Google Scholar
  2. (2).
    HUGHET,L. and GRIERA,M. “Association schemes and difference sets defined on two weight codes”. AAECC-84 Symposium. Toulouse)Google Scholar
  3. (3).
    DELSARTE,P. “An algebraic approach to the association schemes of coding theory”. Philips Research Reports Supplements, no. 10 (1973)Google Scholar
  4. (4).
    HUGUET, L. “Coding Theory as a mathematical object: Regular codes and association schemes”. Pub. Mat. U.A.B. vol 26, No 2 (1982)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Llorenc Huguet
    • 1
  • Josep Rifà
    • 1
  • Mercè Griera
    • 1
  1. 1.Departament d'Informàtica, Facultat de CiènciesUniversitat Autonoma de BarcelonaSpain

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