It is shown that the obvious necessary condition for the existence of a \(\text{B}(8,7; v)\) is sufficient, with the possible exception of \(v \in \{48, 56, 96, 448\}\).
Citation
Jianxing Yin. Existence of BIBDs with Block Size \(8\) and \(\lambda= 7\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 016. 193-198. DOI: .