A family of non class-regular symmetric transversal designs of spread type

作者：Hiramine Yutaka^*

来源：Designs, Codes and Cryptography, 2011, 60(1): 91-99.

DOI：10.1007/s10623-010-9419-3

• Transversal design
• Generalized Hadamard matrix
• Class regular
• Spread

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 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.

• 出版日期2011-7