Author/Authors :
Khosrovshahi، نويسنده , , G.B. and Tayfeh-Rezaie، نويسنده , , B.، نويسنده ,
Abstract :
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 ) designs. The method is also used to confirm the previously accomplished classifications of 2- ( 8 , 3 , 6 ) , 2- ( 12 , 3 , 2 ) and 2- ( 19 , 3 , 1 ) designs.
Keywords :
block designs , automorphism groups , Orderly algorithms , triple systems
