Definition:Steiner Triple System

Definition
A Steiner triple system of order $v$ is a BIBD with block size $3$, and each pair of points occurring together in exactly $1$ block (called a triple).

Notation

 * $\operatorname{BIBD} \left({v, b, r, 3, 1}\right)$
 * $\operatorname{BIBD} \left({v, 3, 1}\right)$
 * $\operatorname{STS} \left({v}\right)$