Small transitive homogeneous $3$-$(v,\{4,6\},1)$ designs

M. Epstein, D. L. Kreher, S. S. Magliveras

A $3$-$(v,\{4,6\},1)$ design is a configuration of $v$ points and a collection of $4$- and $6$-element subsets called blocks, that jointly contain every 3-element subset exactly on…