Duplicated Steiner triple systems with self-orthogonal near resolutions
Duplicated Steiner triple systems with self-orthogonal near resolutions
A Steiner triple system, STS$(v)$, is a family of $3$-subsets (blocks) of a set of $v$ elements such that any two elements occur together in precisely one block. A collection of triples consisting of two copies of each block of an STS is called a duplicated Steiner triple system, DSTS. …