A family of non class-regular symmetric transversal designs of spread type |
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Authors: | Yutaka Hiramine |
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Institution: | (1) Freie Universitat Berlin, Berlin, Germany |
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Abstract: | Many classes of symmetric transversal designs have been constructed from generalized Hadamard matrices and they are necessarily
class regular. In (Hiramine, Des Codes Cryptogr 56:21–33, 2010) we constructed symmetric transversal designs using spreads
of
\mathbbZp2n{\mathbb{Z}_p^{2n}} with p a prime. In this article we show that most of them admit no class regular automorphism groups. This implies that they are
never obtained from generalized Hadamard matrices. As far as we know, this is the first infinite family of non class-regular
symmetric transversal designs. |
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Keywords: | |
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