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Paper IPM / M / 153 |
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Abstract: | |||||||
Variations of the trade-off method exist in the literature of
design theory and have been utilized by some authors to produce
some t-designs with or without repeated blocks. In this paper we
explore a new version of this algorithmic method (i) to produce 20
nonisomorphic and rigid 4-(12,5,4) designs, (ii) to study the
spectrum of support sizes of 4-(12,5,4) designs. Along these,
we also present a new design invariant for testing isomorphism
among designs and a new way of representing t-designs.
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