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DISCRETA is a program system devoted to the construction of t-designs with prescribed group of automorphisms. This does not imply that the prescribed group A say is the full group of automorphisms. The full group can be larger but is always containg A. For a given set of parameters t-(v,k,lambda), prescribing a group of automorphisms is a risky business as there may not be a design with this parameters and this group. Moreover, there may exist designs for these parameters which have a different group of automorphisms. The problem is to find these designs. The assumption of a fixed group of automorphisms which is not too small makes the problem easier to solve. In this case, the design is a union of whole orbits of this group and these orbits can be assembled using the method of Kramer and Mesner.

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