A non-existence result and large sets for Sarvate-Beam designs.

摘要: It is shown that for 2 ≤ t n− 3, a strict t-SB(n, 1) design does not exist, but n ≥ non-strict 2-SB(n, n−1) exists. The concept of large sets Steiner triple systems extended to SB designs and examples are given.