Glasnik Matematicki, Vol. 34, No.1 (1999), 43-48.

SYMMETRIC (100,45,20)-DESIGNS WITH E25 . S3 AS FULL AUTOMORPHISM GROUP

Anka Golemac and Tanja Vučičić

University of Split, Department of Mathematics, Teslina 12/III, 21000 Split, Croatia
e-mail: golemac@mapmf.pmfst.hr
e-mail: vucicic@mapmf.pmfst.hr

Abstract.   The construction of eight nonisomorphic new symmetric (100,45,20)-designs, having E25 · S3 as their full automorphism group, is presented.

1991 Mathematics Subject Classification.   05B05.

Key words and phrases.   Symmetric design, orbit structure, automorphism group.

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