Group divisible designs with block size five

Abstract

We report some group divisible designs with block size five, including types $6^{15}$ and $10^{15}$. As a consequence we are able to extend the known spectrum for 5-GDDs of type $g^u$.

arXiv comment11 pages. New result for this version: 5-GDD 3^45. The paper is under review with a journal