Classification of simple 2-(11,3,3)(11,3,3) designs

We present an orderly algorithm for classifying triple systems. Subsequently, we show that there exist exactly 7038,699,746 nonisomorphic simple 2-(11,3,3)(11,3,3) designs. The method is also used to confirm the previously accomplished classifications of 2-(8,3,6)(8,3,6), 2-(12,3,2)(12,3,2) and 2-(19,3,1)(19,3,1) designs.