On $c$-Bhaskar Rao Designs With Block Size $3$ and negative $c$

Abstract

It is shown that the necessary conditions are sufficient for the existence of all $c$-BRDs$(v,3,\lambda )$ for negative $c$-values. This completes the study of $c$-BRDs with block size three as previously the authors and J. Seberry have shown that the necessary conditions are sufficient for $c\ge -1$.