Date: Sun, 31 Oct 1999 10:38:09 +0200 (EET) From: KOUKOUVINOS CHRISTOS

D-optimal Designs Order 42

m=21, n=42; 2-{21;6,10;6}


A_1={5,6,8,12,15,20}, B_1={4,8,9,12,14,16,17,18,19,20}
A_2={6,9,12,13,18,20}, B_2={4,8,9,12,14,16,17,18,19,20}
A_3={6,11,13,16,19,20}, B_3={6,7,8,11,12,14,16,17,18,20}
A_4={7,13,17,18,19,20}, B_4={3,4,7,10,11,13,15,16,18,20}
A_5={7,9,10,14,16,20}, B_5={4,5,8,12,13,14,15,17,18,20}
A_6={7,9,10,14,16,20}, B_6={4,5,6,7,8,11,12,15,17,20}
A_7={7,9,11,14,19,20}, B_7={5,7,8,9,11,12,14,15,19,20}
A_8={8,13,16,18,19,20}, B_8={3,4,6,10,11,12,14,15,18,20}
A_9={8,10,11,16,18,20}, B_9={4,7,8,11,12,13,14,17,18,20}
A_10={8,9,14,16,17,20}, B_10={4,5,6,8,10,12,13,15,16,20}
A_11={8,12,14,15,18,20}, B_11={4,5,6,10,13,14,15,17,18,20}
A_12={8,10,11,14,18,20}, B_12={5,6,10,11,13,15,16,18,19,20}
A_13={9,10,11,15,18,20}, B_13={3,6,7,10,12,13,14,15,18,20}
A_14={9,13,16,18,19,20}, B_14={3,4,5,9,12,13,15,17,18,20}
A_15={9,12,13,17,18,20}, B_15={3,4,6,10,12,13,14,15,18,20}
A_16={9,11,12,15,16,20}, B_16={4,5,7,9,10,12,16,18,19,20}
A_17={9,12,15,16,18,20}, B_17={4,6,8,9,12,13,17,18,19,20}
A_18={9,11,12,15,16,20}, B_18={4,5,6,8,10,13,16,18,19,20}
A_19={9,10,14,17,19,20}, B_19={4,6,8,10,11,12,13,16,19,20}
A_20={9,12,13,16,18,20}, B_20={4,5,6,7,11,12,14,16,17,20}
A_21={9,10,14,17,19,20}, B_21={5,6,8,10,12,13,14,17,18,20}
A_22={10,12,13,15,19,20}, B_22={3,5,6,9,11,15,16,18,19,20}
A_23={10,11,13,14,19,20}, B_23={3,6,7,8,11,13,14,16,18,20}
A_24={10,13,14,18,19,20}, B_24={3,5,6,8,12,13,15,16,18,20}
A_25={10,11,13,14,19,20}, B_25={3,4,5,7,8,11,13,15,18,20}
A_26={10,11,13,17,18,20}, B_26={3,7,8,10,12,13,16,18,19,20}
A_27={10,11,14,15,18,20}, B_27={4,5,7,9,10,12,16,18,19,20}
A_28={10,11,13,15,19,20}, B_28={4,6,7,10,13,14,15,17,19,20}
A_29={10,11,13,15,19,20}, B_29={4,6,7,8,11,12,14,17,18,20}
A_30={10,11,13,14,19,20}, B_30={4,6,8,9,12,13,15,17,19,20}
A_31={10,13,14,18,19,20}, B_31={4,5,7,8,11,13,15,17,18,20}

Created 1st November 1999 by matrices supplied by Dr Christos Koukouvinos.

Complete searches for D-optimal designs for orders n \leq 54, n=66, were published in:

S.Kounias, C.Koukouvinos, N.Nikolaou, and A.Kakos, The non-equivalent circulant D-optimal designs for n=2mod4, n \leq 54, n=66, J. Combin. Theory Ser. A, 65 (1994), 26-38.