Design No 1 Group Size 55296 A192D3C5 2AFD419C Group generators (treatments are numbered 0..00, 0..01,...,0..10,...,1..11) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[23,32]], [[21,30]], [[27,36]], [[26,35]], [[20,29]], [[22,31]], [[24,33]], [[25,34]], [[19,28]], [[3,4,5],[6,8,7],[13,14,15],[16,18,17],[19,25,24],[20,26,22],[21,27,23],[28,34,33],[29,35,31],[30,36,32]], [[3,6],[4,7],[5,8],[13,16],[14,17],[15,18],[19,25],[20,26],[21,27],[28,34],[29,35],[30,36],[38,39]], [[1,2],[4,5],[6,8],[10,12],[13,15],[16,17],[20,21],[22,27],[23,26],[24,25],[29,30],[31,36],[32,35],[33,34]], [[0,1],[4,5],[6,7],[11,12],[13,15],[17,18],[19,22],[20,24],[21,23],[25,26],[28,31],[29,33],[30,32],[34,35]], [[0,3],[1,4],[2,5],[10,13],[11,14],[12,15],[22,25],[23,26],[24,27],[31,34],[32,35],[33,36],[37,38]] Block Intersection Formula {(0)^8 (1)^18 (2)^3 (3)^1 }^12 {(0)^7 (1)^21 (3)^2 }^18 Initial Blocks, modulo 3^2, last block PC(3): 1000 00 01 00 10 21 00 10 21 00 01 02 Design No 2 Group Size 108 95B2754E 3EC49568 Group generators (treatments are numbered 0..00, 0..01,...,0..10,...,1..11) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[3,4,5],[6,8,7],[13,14,15],[16,18,17],[19,25,24],[20,26,22],[21,27,23],[28,32,34],[29,33,35],[30,31,36]], [[3,6],[4,7],[5,8],[13,16],[14,17],[15,18],[19,25],[20,26],[21,27],[28,34],[29,35],[30,36],[38,39]], [[1,2],[4,5],[7,8],[10,12],[13,15],[16,18],[19,28],[20,30],[21,29],[22,31],[23,33],[24,32],[25,34],[26,36],[27,35]], [[0,1],[4,5],[6,8],[11,12],[13,15],[16,17],[19,35],[20,34],[21,36],[22,28],[23,30],[24,29],[25,33],[26,32],[27,31]], [[0,3],[1,4],[2,5],[10,13],[11,14],[12,15],[22,25],[23,26],[24,27],[31,34],[32,35],[33,36],[37,38]] Block Intersection Formula {(0)^8 (1)^18 (2)^3 (3)^1 }^30 Initial Blocks, modulo 3^2, last block PC(3): 1000 00 01 00 10 21 00 10 22 00 01 02 Design No 3 Group Size 9 6E35EBE7 AD98601D Block Intersection Formula {(0)^8 (1)^18 (2)^3 (3)^1 }^30 Initial Blocks, modulo 3^2, last block PC(3): 1000 00 10 00 01 12 00 10 21 00 01 02