Recent Results on Steiner Triple Systems

Abstract

1. Introduction. A Steiner triple system (briefly STS) of order v is a finite non-empty set S of v elements (called points), together with a collection of subsets of S (called lines) such that every line has exactly 3 points and every pair of points is contained in exactly one line ; a Steiner triple system of order v is sometimes denoted simply by S(v). For example, any d-dimensional finite prjective space over GF(2) is an S(2d+1− 1) and any d-dimensional finite affine space over GF(3) is an S(3d).