A Steiner system is a specific type of combinatorial design in mathematics, particularly in the field of design theory. It consists of a set of points and a collection of subsets, called blocks, such that each block contains a fixed number of points, and every pair of points appears in exactly one block. There are different types of Steiner systems, denoted as S(t, k, v), where t is the number of points in each block, k is the size of the blocks, and v is the total number of points. These systems are used in various applications, including error-correcting codes and experimental design.