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Paper   IPM / M / 158
School of Mathematics
  Title:   Octahedrals in Steiner quadruple systems
  Author(s): 
1.  G. B. Khosrovshahi
2.  H. Yousefi-Azari
  Status:   Published
  Journal: Util. Math.
  Vol.:  51
  Year:  1997
  Pages:   33-39
  Supported by:  IPM
  Abstract:
Any set of 8 blocks of size 4 over an 8-set, isomorphic to {abcd,abxy, acty, adtx, bcyz, bdxz, cdtz, txyz } is called an octahedral configuration which is a generalization of a quadrilateral of Pasch configuration or one half of a minimal 3-(8,4) trade. In this paper we show that all Hanai's recursive constructions of SQS (v) for v ≡ 2 or 4 (mod 6) contain octahedrads except for v=4,10, and 14.

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