On cyclic of Steiner system (v); V=2,3,5,7,11,13

Abstract

A steiner system can be defined by the triple S(t,k,v), where everyblock Bi, (i=1,2,…,b) contains exactly K-elementes taken from aset V-elements; every two distinct block Bi and Bj have at most (t-1) elementsin common of V, the set V usually called the base set. Steiner system can be represented geometrical by letting the varieties be “points” and representing a block by “line” (not necessarystraight ) through the points it contains . In this paper we connectedbetween Steiner system and geometry where we’ll find all blocks of S( 2,p+1,p + p+1 ); p is prime number using cyclic Steiner system putting S(2p+1,p +p+1)in one cycle.

Keywords

Steiner system