engleski

Some new primitive symmetric designs

All primitive symmetric designs with at most 255 points have been constructed and classified (S. Braić, PhD thesis, 2007). In this research we either prove the non-existence or give explicit construction of some symmetric designs with primitive automorphism groups of higher degree. The method of design construction is based on an automorphism group action, and on the theory of difference sets, multiplier theorems in particular. It involves programming and wide-range computations. We make use of software package GAP, the well-known system for computational group theory, and the library of primitive groups which it contains.

Symmetric design; automorphism group; primitive action; difference set

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