On Large Sets of v−1 L-Intersecting Steiner Triple Systems of Order v

This paper presents four new recursive constructions for large sets of v−1 STS(v). These facilitate the production of several new infinite families of such large sets. In particular, we obtain for each n≥2 a large set of 3n−1 STS (3n) whose systems intersect in 0 or 3 blocks.