Generalized Steiner Systems Gs 4 (2y 4y Vy G) for G ˆ 2y 3y 6

  title={Generalized Steiner Systems Gs 4 (2y 4y Vy G) for G ˆ 2y 3y 6},
  author={Dianhua Wu and Gennian Ge and L. Zhu},
Generalized Steiner systems GSd…t; k; v; g† were ®rst introduced by Etzion and used to construct optimal constant-weight codes over an alphabet of size g‡ 1 with minimum Hamming distance d, in which each codeword has length v and weight k. Much work has been done for the existence of generalized Steiner triple systems GS…2; 3; v; g†. However, for block size four there is not much known on GSd…2; 4; v; g†. In this paper, the necessary conditions for the existence of a GSd…t; k; v; g† are given… CONTINUE READING

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