engleski

One (96, 20, 4) Symmetric Design and Related Nonabelian Difference Sets

New (96, 20, 4)-symmetric design has been constructed, unique under the assumption of an automorphism group of order 576 action. The correspondence between a (96, 20, 4)-symmetric design having regular automorphism group and a difference set with the same parameters has been used to obtain difference sets in five nonabelian groups of order 96. None of them belongs to the class of groups that allow the application of so far known construction (McFarland, Dillon) for McFarland difference sets.

difference set; symmetric design; automorphism group

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