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Hypergraphical Codes Arising from Binary Trades

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Abstract

By considering the null space of incidence matrices of trivial designs over GF(2) (the space of 1- (v,k) trades overGF(2)) we obtain families of codes which are optimal for some v and k. Moreover, by generalizing the concept of bond space, the weight enumerator polynomials for these codes are obtained.

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Authors and Affiliations

  1. Department of Mathematics, University of Tehran, and Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran Mailing address: IPM, P.O. Box 19395-5746, Tehran, Iran

    G. B. Khosrovshahi

  2. Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran

    Reza Naserasr

Authors
  1. G. B. Khosrovshahi
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  2. Reza Naserasr
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Khosrovshahi, G.B., Naserasr, R. Hypergraphical Codes Arising from Binary Trades. Designs, Codes and Cryptography 18, 183–186 (1999). https://doi.org/10.1023/A:1008349506366

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  • DOI: https://doi.org/10.1023/A:1008349506366

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