No abstract

No abstract

No abstract

It is well known that there exists a transversal design TD λ [k; u] admitting a class regular automorphism group U if and only if there exists a generalized Hadamard matrix GH(u, λ) 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.

No abstract