Modified generalized Hadamard matrices and constructions for transversal designs

作者：Hiramine Yutaka^*

来源：Designs, Codes and Cryptography, 2010, 56(1): 21-33.

DOI：10.1007/s10623-009-9337-4

• Transversal design
• Generalized Hadamard matrix
• Group
• Spread

It is well known that there exists a transversal design TD lambda [k; u] admitting a class regular automorphism group U if and only if there exists a generalized Hadamard matrix GH(u, lambda) over U. Note that in this case the resulting transversal design is symmetric by Jungnickel's result. In this article we define a modified generalized Hadamard matrix and show that transversal designs which are not necessarily symmetric can be constructed from these under a modified condition similar to class regularity even if it admits no class regular automorphism group.

• 出版日期2010-7