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| Paper IPM / M / 7403 |
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| Abstract: | |||||||
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In this paper, we exploit some intersection matrices to empower a
backtracking approach based on Kramer-Menser matrices. As an
application, we consider the interesting family of simple
t−(t+8, t+2, 4) designs 1 ≤ t ≤ 4, and provide a complete
classification for t=1, 4 as well as a classification of all
non-rigid designs for t=2, 3. We also enumerate all rigid
designs for t=2. The computations confirm the results obtained
in Denny and Mathon [4] through the new approach which is much
simpler. Finally a list of other designs constructed by this
method is provided.
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