Remarks on Translation Transversal Designs

On simple and supersimple transversal designs

In this paper, the existence of a transversal design T D (4; g) is proved for all indices satisfying 2 g such that any two of its blocks intersect in at most two elements.

More Thwarts in Transversal Designs

A transversal design of order n and block size k, or TD(k; n), is a triple (X, G, B ), where X is a set of kn elements. G 5 hG1 , . . . , Gkj is a partition of X into k sets each of size n; each class of the partition is a group. B is a set of k-subsets of X, with the property that each B [ B satisfies uB > Giu 5 1 for each 1 # i # k; sets in B are blocks. Finally, each unordered pair of elemen...

Some remarks on subdesigns of symmetric designs

• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...

Symmetric Transversal Designs with Group Size 3

Transversal Designs in Classical Planes and Spaces

Possible embeddings of transversal designs in the classical projective spaces on nite elds are characterized.