Design No 1 Group Size 8 C21E898D BFC895E5 Block Intersection Formula {(0)^5 (1)^15 (2)^3 (3)^1 }^24 Initial Blocks, modulo 8: 1000 0 2 0 1 3 0 1 4 Design No 2 Group Size 512 5DEF72EE 989FEE20 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[12,16]], [[11,15]], [[10,14]], [[9,13]], [[1,3],[2,6],[5,7],[10,12],[14,16],[17,31],[18,26],[19,29],[20,32],[21,27],[22,30],[23,25],[24,28]], [[1,5],[3,7],[17,25],[18,30],[19,27],[20,32],[21,29],[22,26],[23,31],[24,28]], [[0,1],[2,7],[3,6],[4,5],[9,10],[11,12],[13,14],[15,16],[17,24],[18,23],[19,22],[20,21],[25,32],[26,31],[27,30],[28,29]] Block Intersection Formula {(0)^4 (1)^18 (3)^2 }^8 {(0)^5 (1)^15 (2)^3 (3)^1 }^16 Initial Blocks, modulo 8: 1000 0 4 0 1 2 0 2 5 Design No 3 Group Size 1769472 A6302520 AE6A422D Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[21,29]], [[11,15]], [[12,16]], [[20,28]], [[19,27]], [[23,31]], [[10,14]], [[18,26]], [[22,30]], [[9,13]], [[24,32]], [[17,25]], [[2,4],[5,6],[7,8],[9,24],[10,23],[11,21],[13,32],[14,31],[15,29],[19,20],[27,28]], [[2,5],[4,8],[6,7],[10,18],[11,21],[12,20],[14,26],[15,29],[16,28],[22,24],[30,32]], [[1,2],[3,7],[5,6],[10,11],[14,15],[17,24],[19,23],[20,21],[25,32],[27,31],[28,29]], [[0,1],[4,7],[6,8],[9,23],[10,22],[12,20],[13,31],[14,30],[16,28],[18,24],[26,32]] Block Intersection Formula {(0)^4 (1)^18 (3)^2 }^24 Initial Blocks, modulo 8: 1000 0 4 0 1 3 0 1 3