One (96,20,4)-symmetric Design and related Nonabelian Difference Sets

Authors:
Anka Golemac;Tanja Vučičić;Joško Mandić
Affiliations:
Department of Mathematics, University of Split, Split, Croatia 21 000;Department of Mathematics, University of Split, Split, Croatia 21 000;Department of Mathematics, University of Split, Split, Croatia 21 000
Venue:
Designs, Codes and Cryptography
Year:
2005

Citing 2
Cited 1

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Flag-transitive symmetric 2-(96,20,4)-designs

Journal of Combinatorial Theory Series A

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Abstract

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.