Design No 1(for Input Group of Order 16 and Index 9) Group Size 16 1CD72939 8CBAF895 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d c b a () d bc ab abc () c bd a abc Design No 2(for Input Group of Order 16 and Index 9) Group Size 16 42E9BEE4 8112B6F9 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d c b a () d bc ab abcd () c bd a abc Design No 3(for Input Group of Order 16 and Index 9) Group Size 16 47853AD0 9A8CFAB3 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c b a () d bc abd abc () c bd a abc Design No 4(for Input Group of Order 16 and Index 9) Group Size 16 85BC47F4 6A3CA98B Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d c b a () d bc abd abcd () c bd a abc Design No 5(for Input Group of Order 16 and Index 9) Group Size 16 E37BE655 535040FD Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d ac ab abc () c bc acd abc Design No 6(for Input Group of Order 16 and Index 9) Group Size 16 BF221504 6EC96CB4 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d ac ab abcd () c bc acd abcd Design No 7(for Input Group of Order 16 and Index 9) Group Size 16 FBF1A58C CD73DB3C Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d ac abd abc () c bcd ac abc Design No 8(for Input Group of Order 16 and Index 9) Group Size 16 97259AA0 5FED2A30 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d ac abd abcd () c bd ad abd Design No 9(for Input Group of Order 16 and Index 9) Group Size 16 402AD9EF F79B9101 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c b ab () d bc a ac () c bd a abc Design No 10(for Input Group of Order 16 and Index 9) Group Size 16 DA43D2F2 A1534070 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d bc a acd () c bd ad abcd Design No 11(for Input Group of Order 16 and Index 9) Group Size 16 17592923 2B819AB8 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d bc ad ac () c bc acd abd Design No 12(for Input Group of Order 16 and Index 9) Group Size 16 6A1BBF3E 84144611 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d c b ab () d bc ad acd () c bd a abc Design No 13(for Input Group of Order 16 and Index 9) Group Size 16 D3E9BD6C 51B743F5 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d a ac ab () c b acd abcd Design No 14(for Input Group of Order 16 and Index 9) Group Size 16 7A293062 A8C77836 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d a ac abd () c bd ac abc Design No 15(for Input Group of Order 16 and Index 9) Group Size 16 7C35A01C 35FEDB6A Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d c b ab () d a ac abc () c bd ac abcd Design No 16(for Input Group of Order 16 and Index 9) Group Size 16 2D9AFD2B 257F2698 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c b ab () d a ac abcd () c bc ad abd Design No 17(for Input Group of Order 16 and Index 9) Group Size 16 49EC8488 8A437DC8 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c b ab () d a acd ab () c bd ac abcd Design No 18(for Input Group of Order 16 and Index 9) Group Size 16 A2514538 A03F80D2 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d a acd abd () c bc ad abd Design No 19(for Input Group of Order 16 and Index 9) Group Size 16 D4F39556 0F928922 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 {(0)^4 (1)^18 (2)^24 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d a acd abc () c bd ac abc Design No 20(for Input Group of Order 16 and Index 9) Group Size 16 DA8E61DE D3974DF2 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b ab () d a acd abcd () c b acd abcd Design No 21(for Input Group of Order 16 and Index 9) Group Size 16 9B6696F5 1A1487CD Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bc ac () c b acd abd Design No 22(for Input Group of Order 16 and Index 9) Group Size 16 73044E88 F34B7A74 Block Intersection Formula {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bc acd () c bcd a abc Design No 23(for Input Group of Order 16 and Index 9) Group Size 16 BC2C19BA 73B02B09 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bc ab () c b ad abc Design No 24(for Input Group of Order 16 and Index 9) Group Size 16 0A2923E5 1612D4B1 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bc abd () c b ad abc Design No 25(for Input Group of Order 16 and Index 9) Group Size 16 C4F173DC 5CACB510 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bc abc () c b ad abc Design No 26(for Input Group of Order 16 and Index 9) Group Size 16 931F6D93 BECCAA8B Block Intersection Formula {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bc abcd () c b ad abc Design No 27(for Input Group of Order 16 and Index 9) Group Size 16 87CE531E 0394151C Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c a ab () d b bcd ac () c bcd ad abcd Design No 28(for Input Group of Order 16 and Index 9) Group Size 16 884DED1C CC5AFE33 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d c a ab () d b bcd acd () c bcd ad abcd Design No 29(for Input Group of Order 16 and Index 9) Group Size 16 929FC934 63FC9EF1 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bcd ab () c b ad abc Design No 30(for Input Group of Order 16 and Index 9) Group Size 16 4DE89F09 55D38020 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 {(0)^4 (1)^18 (2)^24 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bcd abd () c b ad abc Design No 31(for Input Group of Order 16 and Index 9) Group Size 16 C9ED2334 FD3ABE67 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bcd abc () c b ad abc Design No 32(for Input Group of Order 16 and Index 9) Group Size 16 3C379ECD 0420A075 Block Intersection Formula {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 Initial Blocks, in the group representation: () d c a ab () d b bcd abcd () c b ad abc Design No 33(for Input Group of Order 16 and Index 9) Group Size 32 04B332FD EC22EAFD Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd ) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[2,3],[4,7],[5,6],[8,9],[12,14],[13,15],[16,17],[20,22],[21,23],[26,27],[28,31],[29,30],[34,35],[36,39],[37,38],[40,41],[44,46],[45,47],[48,51],[49,50],[54,55],[56,59],[57,58],[62,63]], [[0,1],[2,3],[4,5],[6,7],[8,9],[10,11],[12,13],[14,15],[16,17],[18,19],[20,21],[22,23],[24,25],[26,27],[28,29],[30,31],[32,33],[34,35],[36,37],[38,39],[40,41],[42,43],[44,45],[46,47],[48,49],[50,51],[52,53],[54,55],[56,57],[58,59],[60,61],[62,63]], [[0,2],[1,3],[6,7],[8,11],[9,10],[12,13],[16,19],[17,18],[20,21],[24,26],[25,27],[30,31],[32,34],[33,35],[38,39],[40,43],[41,42],[44,45],[50,51],[52,54],[53,55],[58,59],[60,62],[61,63]], [[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62]], [[0,8],[1,9],[2,10],[3,11],[4,13],[5,12],[6,15],[7,14],[16,25],[17,24],[18,27],[19,26],[20,28],[21,29],[22,30],[23,31],[32,40],[33,41],[34,42],[35,43],[36,45],[37,44],[38,47],[39,46],[48,58],[49,59],[50,57],[51,56],[52,62],[53,63],[54,61],[55,60]] Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 Initial Blocks, in the group representation: () d b bc a () d ac ab abc () c b a acd Design No 34(for Input Group of Order 16 and Index 9) Group Size 32 DEAC394F 46ABC657 Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd ) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[2,3],[4,7],[5,6],[8,9],[12,14],[13,15],[16,17],[20,22],[21,23],[26,27],[28,31],[29,30],[34,35],[36,39],[37,38],[40,41],[44,46],[45,47],[48,51],[49,50],[54,55],[56,59],[57,58],[62,63]], [[0,1],[2,3],[4,5],[6,7],[8,9],[10,11],[12,13],[14,15],[16,17],[18,19],[20,21],[22,23],[24,25],[26,27],[28,29],[30,31],[32,33],[34,35],[36,37],[38,39],[40,41],[42,43],[44,45],[46,47],[48,49],[50,51],[52,53],[54,55],[56,57],[58,59],[60,61],[62,63]], [[0,2],[1,3],[6,7],[8,11],[9,10],[12,13],[16,19],[17,18],[20,21],[24,26],[25,27],[30,31],[32,34],[33,35],[38,39],[40,43],[41,42],[44,45],[50,51],[52,54],[53,55],[58,59],[60,62],[61,63]], [[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62]], [[0,8],[1,9],[2,10],[3,11],[4,13],[5,12],[6,15],[7,14],[16,25],[17,24],[18,27],[19,26],[20,28],[21,29],[22,30],[23,31],[32,40],[33,41],[34,42],[35,43],[36,45],[37,44],[38,47],[39,46],[48,58],[49,59],[50,57],[51,56],[52,62],[53,63],[54,61],[55,60]] Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d b bc a () d ac ab abc () c b ad ac Design No 35(for Input Group of Order 16 and Index 9) Group Size 32 DD0A1A78 458B14FD Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd ) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[2,3],[4,6],[5,7],[10,11],[12,14],[13,15],[18,19],[20,22],[21,23],[26,27],[28,30],[29,31],[32,33],[36,39],[37,38],[40,41],[44,47],[45,46],[48,51],[49,50],[52,53],[56,58],[57,59],[62,63]], [[0,1],[2,3],[4,5],[6,7],[8,9],[10,11],[12,13],[14,15],[16,17],[18,19],[20,21],[22,23],[24,25],[26,27],[28,29],[30,31],[32,33],[34,35],[36,37],[38,39],[40,41],[42,43],[44,45],[46,47],[48,49],[50,51],[52,53],[54,55],[56,57],[58,59],[60,61],[62,63]], [[0,2],[1,3],[4,5],[8,10],[9,11],[12,13],[16,18],[17,19],[20,21],[24,26],[25,27],[28,29],[32,35],[33,34],[38,39],[40,43],[41,42],[46,47],[50,51],[52,55],[53,54],[56,57],[60,62],[61,63]], [[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62]], [[0,8,1,9],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,24,17,25],[18,26,19,27],[20,28,21,29],[22,30,23,31],[32,41,33,40],[34,43,35,42],[36,45,37,44],[38,47,39,46],[48,58,49,59],[50,57,51,56],[52,63,53,62],[54,60,55,61]] Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 Initial Blocks, in the group representation: () d b bc a () d ac ab abcd () c bc a ac Design No 36(for Input Group of Order 16 and Index 9) Group Size 32 1323D557 A5C76913 Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd ) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[2,3],[4,6],[5,7],[10,11],[12,14],[13,15],[18,19],[20,22],[21,23],[26,27],[28,30],[29,31],[32,33],[36,39],[37,38],[40,41],[44,47],[45,46],[48,51],[49,50],[52,53],[56,58],[57,59],[62,63]], [[0,1],[2,3],[4,5],[6,7],[8,9],[10,11],[12,13],[14,15],[16,17],[18,19],[20,21],[22,23],[24,25],[26,27],[28,29],[30,31],[32,33],[34,35],[36,37],[38,39],[40,41],[42,43],[44,45],[46,47],[48,49],[50,51],[52,53],[54,55],[56,57],[58,59],[60,61],[62,63]], [[0,2],[1,3],[4,5],[8,10],[9,11],[12,13],[16,18],[17,19],[20,21],[24,26],[25,27],[28,29],[32,35],[33,34],[38,39],[40,43],[41,42],[46,47],[50,51],[52,55],[53,54],[56,57],[60,62],[61,63]], [[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62]], [[0,8,1,9],[2,11,3,10],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,27,19,26],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,43,35,42],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,59,51,58],[52,62,53,63],[54,60,55,61]] Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 Initial Blocks, in the group representation: () d b bc a () d ac ab abcd () c bc ad acd Design No 37(for Input Group of Order 16 and Index 9) Group Size 32 2E744276 71610FED Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd ) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[2,3],[4,6],[5,7],[8,9],[12,15],[13,14],[18,19],[20,22],[21,23],[24,25],[28,31],[29,30],[32,33],[36,39],[37,38],[42,43],[44,46],[45,47],[48,51],[49,50],[52,53],[56,59],[57,58],[60,61]], [[0,1],[2,3],[4,5],[6,7],[8,9],[10,11],[12,13],[14,15],[16,17],[18,19],[20,21],[22,23],[24,25],[26,27],[28,29],[30,31],[32,33],[34,35],[36,37],[38,39],[40,41],[42,43],[44,45],[46,47],[48,49],[50,51],[52,53],[54,55],[56,57],[58,59],[60,61],[62,63]], [[0,2],[1,3],[4,5],[8,11],[9,10],[14,15],[16,18],[17,19],[20,21],[24,27],[25,26],[30,31],[32,35],[33,34],[38,39],[40,42],[41,43],[44,45],[50,51],[52,55],[53,54],[58,59],[60,63],[61,62]], [[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62]], [[0,8],[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[16,24],[17,25],[18,26],[19,27],[20,28],[21,29],[22,30],[23,31],[32,41],[33,40],[34,43],[35,42],[36,45],[37,44],[38,47],[39,46],[48,58],[49,59],[50,57],[51,56],[52,63],[53,62],[54,60],[55,61]] Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 Initial Blocks, in the group representation: () d b bc ac () d a ab abc () c bcd ad ac