A Complete Solution to the Packing Problem with Block Size Six and Index Five

Abstract

A.M. Assaf, A. Hartman, and N. Shalaby determined in [1] the packing numbers $\sigma (v,6,5)$ for all integers $v\ge 6$, leaving six open cases of $v=41,47,53,59,62,$ and $71$. In this paper, we deal with these open cases and thus complete the packing problem.