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

# D-optimal Designs Order 90

m=45, n=90; 2-{43;16,21;15}

A_1={5,7,8,13,14,17,18,21,22,23,25,29,32,34,39,44}
B_1={7,8,9,10,12,13,15,16,19,20,21,22,27,29,32,36,38,39,40,42,44}

A_2={5,6,8,12,15,19,21,27,28,29,31,33,36,39,41,44}
B_2={9,10,12,16,17,18,20,21,23,24,25,27,28,29,34,37,38,39,42,43,44}

A_3={6,9,11,17,18,19,20,21,23,26,27,32,34,39,40,44}
B_3={4,5,8,10,11,12,14,15,18,19,21,23,24,29,33,37,39,40,41,42,44}

A_4={6,7,10,12,15,16,17,18,19,24,28,33,39,41,43,44}
B_4={4,9,11,13,14,17,19,23,26,28,29,30,33,34,36,37,40,41,42,43,44}

A_5={6,9,10,11,13,15,16,21,25,27,28,30,31,36,38,44}
B_5={4,5,8,10,11,13,15,17,18,19,24,25,26,27,28,29,32,36,37,40,44}

A_6={6,12,14,15,16,18,20,21,24,25,26,33,36,38,43,44}
B_6={4,5,9,11,13,14,16,20,25,27,28,29,30,33,36,37,39,40,41,43,44}

A_7={6,10,16,17,18,19,21,22,28,30,34,35,36,40,43,44}
B_7={4,6,8,10,11,13,16,19,20,21,23,24,25,26,27,30,33,35,40,43,44}

A_8={6,7,10,13,14,16,17,18,19,22,24,29,35,37,38,44}
B_8={5,6,7,9,10,12,14,15,19,21,23,24,27,28,29,31,33,39,40,41,44}

A_9={6,7,13,14,16,18,22,24,30,34,35,37,39,40,43,44}
B_9={5,6,8,10,11,14,19,24,26,29,30,31,33,36,37,39,40,41,42,43,44}

A_10={6,9,12,15,16,17,21,25,26,29,33,39,40,41,42,44}
B_10={5,9,14,15,16,17,20,21,22,23,25,27,28,30,31,35,37,39,41,42,44}

A_11={6,8,9,12,19,20,23,27,29,30,31,32,35,37,39,44}
B_11={5,10,11,14,15,16,21,24,26,27,29,30,33,34,35,37,39,41,42,43,44}

A_12={6,7,8,12,14,15,16,18,21,22,26,33,38,40,43,44}
B_12={6,8,9,11,12,15,20,21,22,23,26,28,31,32,33,35,36,37,39,41,44}

A_13={6,9,13,14,19,20,21,23,27,29,30,31,32,35,39,44}
B_13={6,7,8,9,11,12,13,15,19,22,24,25,26,30,31,33,35,36,39,41,44}

A_14={6,10,11,12,16,20,22,28,29,30,31,32,35,37,40,44}
B_14={6,8,9,10,12,13,16,17,21,22,23,24,25,28,30,31,34,36,39,41,44}

A_15={6,8,12,13,14,17,18,19,24,27,30,35,39,42,43,44}
B_15={6,9,11,13,15,16,19,21,22,23,24,25,30,32,33,34,36,37,38,41,44}

A_16={6,10,11,12,13,16,18,20,21,26,31,33,35,39,40,44}
B_16={6,7,8,9,10,13,15,16,18,19,20,23,24,26,27,30,36,38,39,42,44}

A_17={6,10,14,16,18,19,20,25,26,29,30,37,39,42,43,44}
B_17={6,8,9,10,14,15,17,18,20,21,23,24,26,29,31,33,34,36,37,38,44}

A_18={6,7,11,12,13,15,17,18,19,24,28,34,36,37,42,44}
B_18={6,7,8,10,11,14,15,17,18,20,22,23,25,27,28,31,37,40,41,42,44}

A_19={6,7,9,11,17,18,21,23,26,31,32,33,34,35,39,44}
B_19={6,7,10,12,13,15,16,17,19,21,22,23,25,26,30,33,36,37,38,42,44}

A_20={6,8,12,14,15,17,22,26,31,32,34,36,38,39,42,44}
B_20={6,7,10,11,12,13,14,19,20,22,23,24,25,26,29,30,33,35,40,43,44}

A_21={6,7,8,14,18,21,23,24,27,28,29,32,33,35,40,44}
B_21={6,8,12,13,14,16,19,22,26,28,29,30,31,33,35,38,39,40,41,43,44}

A_22={6,7,10,17,20,22,25,26,31,32,33,34,35,39,40,44}
B_22={6,8,9,10,11,13,14,16,17,19,21,23,27,29,30,33,37,38,39,42,44}

A_23={6,9,11,14,15,17,19,22,23,28,29,35,37,40,41,44}
B_23={6,7,8,10,11,13,14,15,16,18,20,21,25,27,31,35,40,41,42,43,44}

A_24={6,12,13,14,16,17,18,24,26,27,30,33,35,37,39,44}
B_24={6,9,10,11,13,14,16,19,20,21,22,25,26,28,30,35,36,38,39,43,44}

A_25={6,10,14,15,17,19,22,23,24,25,29,32,35,37,38,44}
B_25={6,9,10,13,14,15,18,20,24,26,30,31,32,34,37,39,40,41,42,43,44}

A_26={6,7,9,10,14,15,18,23,24,29,30,34,36,41,42,44}
B_26={6,9,11,14,18,20,21,25,27,29,31,34,35,37,38,39,40,41,42,43,44}

A_27={6,9,10,12,13,15,17,19,20,21,25,28,34,37,43,44}
B_27={6,7,8,10,11,12,13,17,18,23,25,27,28,30,31,33,35,39,42,43,44}

A_28={6,11,15,16,17,21,24,30,32,33,36,38,40,42,43,44}
B_28={6,9,10,13,18,20,21,22,23,25,27,28,29,30,34,35,38,40,41,43,44}

A_29={6,9,11,12,16,17,18,24,25,27,29,33,39,41,43,44}
B_29={6,9,10,11,12,13,15,17,18,20,21,22,26,29,30,31,34,35,37,41,44}

A_30={6,7,9,10,11,13,14,17,19,21,26,32,35,38,43,44}
B_30={6,7,11,12,14,16,17,20,26,27,28,30,32,33,34,37,39,41,42,43,44}

Created 1st November 1999 by matrices supplied by Dr Christos Koukouvinos. Complete searches for D-optimal designs for orders n, n=90 were published in:

S.Kounias, C.Koukouvinos, N.Nikolaou, and A.Kakos, The non-equivalent circulant D-optimal designs for n=90, J. Statist. Plann. Inference, 53 (1996), 253-259.