“School of Mathematics”
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| Paper IPM / M / 158 |
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| Abstract: | |||||
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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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