Original scientific paper
Some Hadamard designs admitting a faithful action of Frobenius groups
S. Crnković
Abstract
We have constructed three new symmetric (71,35,17) designs having $Frob_{17 \cdot 8}$ as an automorphism group.
Also constructed are symmetric designs with parameters (43,21,10), (67,33,16) and (71,35,17) admitting an
automorphism group isomorphic to $Frob_{43 \cdot 7}$, $Frob_{67 \cdot 11}$ and $Frob_{71 \cdot 7}$,
respectively, which turn out to be isomorphic to previously known designs, constructed via cyclic
difference sets. Each constructed Hadamard design leads to a series of Hadamard designs.
Keywords
symmetric design; Hadamard design; Frobenius group; automorphism group
Hrčak ID:
2294
URI
Publication date:
15.6.2002.
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