Original scientific paper

Some symmetric (47,23,11) designs

Dean Crnković
Sanja Rukavina

Abstract

Up to isomorphism there are precisely fifty-four symmetric designs with parameters (47,23,11) admitting a faithful action of a Frobenius group of order 55. From these fifty-four designs one can construct 179 pairwise nonisomorphic 2-(23,11,10) designs as derived and 191 pairwise nonisomorphic 2-(24,12,11) designs as residual designs. We have determined full automorphism groups of all constructed designs. One of 2-(24,12,11) designs has full automorphism group of order 15840, isomorphic to the group M11 × 2, acting transitively on the set of points.

Keywords

Symmetric design; Hadamard design; orbit structure; automorphism group; Mathieu group

Hrčak ID:

1330

URI

https://hrcak.srce.hr/1330

Publication date:

1.6.2003.

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