Amir Wassermann

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In this paper, we investigate the existence of large sets of 3-designs of prime sizes with prescribed automorphism groups PSL(2, q) and PGL(2, q) for q < 60. We also construct some new interesting large sets by the use of the computer program DISCRETA. The results obtained through these direct methods along with known recursive constructions are combined to(More)
Some simple 7-designs with small parameters are constructed with the aid of a computer. The smallest parameter set found is 7-(24; 8; 4): An automorphism group is prescribed for nding the designs and used for determining the isomorphism types. Further designs are derived from these designs by known construction processes. Certain projective groups are(More)
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