On \(c\)-Bhaskar Rao Designs With Block Size \(3\) and negative \(c\)

Spencer P. Hurd1, Dinesh G. Sarvate2
1 Department of Mathematics and Computer Science The Citadel, Charleston, SC, 29409
2 Department of Mathematics, University of Charleston, Charleston, SC, 29424

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 \(c \geq -1\).