Design No 1(for Input Group of Order 16 and Index 7) Group Size 16 336E4998 D1DCA452 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (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 ad ab () c bd ab abcd Design No 2(for Input Group of Order 16 and Index 7) Group Size 16 ED75B807 77CE9CD2 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 a () d bc ad abd () c b abd abcd Design No 3(for Input Group of Order 16 and Index 7) Group Size 16 F7D36C53 F4273B3C 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 bc ad abd () c bc ab abcd Design No 4(for Input Group of Order 16 and Index 7) Group Size 16 23B47E59 FE4DF88B 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 ac abc () c bc abd abcd Design No 5(for Input Group of Order 16 and Index 7) Group Size 16 DC374AB3 B6E4658F 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 bc ac abcd () c bd abd abcd Design No 6(for Input Group of Order 16 and Index 7) Group Size 16 0054EBA3 9FFFB644 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d bc ac abcd () c bcd ab abcd Design No 7(for Input Group of Order 16 and Index 7) Group Size 16 4D6DAC2C 82E630C2 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d bc ab abc () c b ad abd Design No 8(for Input Group of Order 16 and Index 7) Group Size 16 C39E48C7 38B5614D 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 bc ab abc () c bcd ad ab Design No 9(for Input Group of Order 16 and Index 7) Group Size 16 9B30ADA6 82C68F35 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (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 a ab abc () c b acd abd Design No 10(for Input Group of Order 16 and Index 7) Group Size 16 EC0AFBCD BF210765 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 a ab abc () c bc acd abd Design No 11(for Input Group of Order 16 and Index 7) Group Size 16 AE25F0A3 20E310FC Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d c b a () d a ab abcd () c b acd abd Design No 12(for Input Group of Order 16 and Index 7) Group Size 16 847D046D F7BA681E Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d a ab abcd () c bc acd abd Design No 13(for Input Group of Order 16 and Index 7) Group Size 16 4167B766 56F126E9 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 a () d a abd abc () c bd ac ab Design No 14(for Input Group of Order 16 and Index 7) Group Size 16 9E28C2BE F28384FF 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 a () d a abd abc () c bcd ac ab Design No 15(for Input Group of Order 16 and Index 7) Group Size 16 1412F406 46BCDA71 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 a abd abcd () c bd ac ab Design No 16(for Input Group of Order 16 and Index 7) Group Size 16 BC48D9B8 8F370985 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 a () d a abd abcd () c bcd ac ab Design No 17(for Input Group of Order 16 and Index 7) Group Size 16 83A22019 359847E8 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d c b a () d ac ab abc () c b acd abd Design No 18(for Input Group of Order 16 and Index 7) Group Size 16 477DDDFB 61D2881E 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 ab abc () c bc acd abd Design No 19(for Input Group of Order 16 and Index 7) Group Size 16 DEC099F1 7D2C5BE7 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c b a () d ac ab abcd () c bd ac ab Design No 20(for Input Group of Order 16 and Index 7) Group Size 16 705210A7 CCFA7307 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 a () d ac ab abcd () c bcd ac ab Design No 21(for Input Group of Order 16 and Index 7) Group Size 16 0D7F3AB1 99A7E7E3 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 a () d ac abd abc () c b acd abd Design No 22(for Input Group of Order 16 and Index 7) Group Size 16 167A2277 723BF2EF 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 ac abd abc () c bc acd abd Design No 23(for Input Group of Order 16 and Index 7) Group Size 16 A786C4DF 5CB8199F 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 ac abd abcd () c bd ac ab Design No 24(for Input Group of Order 16 and Index 7) Group Size 16 160E17D9 31DDDA63 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 ac abd abcd () c bcd ac ab Design No 25(for Input Group of Order 16 and Index 7) Group Size 16 8165B7F2 BB32F731 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 bc a () d b ad abc () c bd ab abc Design No 26(for Input Group of Order 16 and Index 7) Group Size 16 51DA8BD8 257296FA 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 bc a () d b ad abc () c bcd abd abc Design No 27(for Input Group of Order 16 and Index 7) Group Size 16 18962BFF A85C3719 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 bc a () d b ad abcd () c bcd ab abc Design No 28(for Input Group of Order 16 and Index 7) Group Size 16 4E63C4A8 ED9866FC 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 bc a () d b acd ab () c bcd ab abc Design No 29(for Input Group of Order 16 and Index 7) Group Size 16 743F08A7 EB9B1E28 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 bc a () d b acd abd () c bd ab abc Design No 30(for Input Group of Order 16 and Index 7) Group Size 16 2D8EFB5C BDE0DBD6 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^32 Initial Blocks, in the group representation: () d c bc a () d b acd abd () c bcd abd abc Design No 31(for Input Group of Order 16 and Index 7) Group Size 16 56CF9AE9 1A3F15FD 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 bc a () d b ab abc () c bd acd ab Design No 32(for Input Group of Order 16 and Index 7) Group Size 16 532FA71E 3A053E58 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 bc a () d b ab abc () c bcd acd ab Design No 33(for Input Group of Order 16 and Index 7) Group Size 16 19685123 45E63C56 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 bc a () d b ab abcd () c bcd ad abc Design No 34(for Input Group of Order 16 and Index 7) Group Size 16 22A97E1B 059811D4 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 bc a () d b abd abc () c bd acd abd Design No 35(for Input Group of Order 16 and Index 7) Group Size 16 FCAF1670 EEE3ED6F 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 bc a () d b abd abc () c bcd acd abd Design No 36(for Input Group of Order 16 and Index 7) Group Size 16 1938CE96 4CC71F77 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 bc a () d b abd abcd () c bd acd ab Design No 37(for Input Group of Order 16 and Index 7) Group Size 16 335EA377 361B1D64 Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c bc a () d b abd abcd () c bcd acd ab Design No 38(for Input Group of Order 16 and Index 7) Group Size 16 441AA7F6 AC0C7DE5 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 bc a () d a abd abc () c bd ad abd Design No 39(for Input Group of Order 16 and Index 7) Group Size 16 3AF08327 8774F9D3 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 bc a () d a abd abc () c bcd ac abc Design No 40(for Input Group of Order 16 and Index 7) Group Size 16 903B0D48 17C939BB 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 bc a () d a abd abcd () c bd ad abd Design No 41(for Input Group of Order 16 and Index 7) Group Size 16 CCC2C4B3 02AF8A95 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 bc a () d a abd abcd () c bcd ac abc Design No 42(for Input Group of Order 16 and Index 7) Group Size 16 684B3065 EB6FD6C5 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 bc a () d ac ab abcd () c bd ad abd Design No 43(for Input Group of Order 16 and Index 7) Group Size 16 88B44003 876BC160 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 bc a () d ac ab abcd () c bcd ac abc Design No 44(for Input Group of Order 16 and Index 7) Group Size 16 E97A89E1 B8855562 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 bc a () d ac abd abcd () c bd ad abd Design No 45(for Input Group of Order 16 and Index 7) Group Size 16 42A512DE C5AE6823 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 bc a () d ac abd abcd () c bcd ac abc Design No 46(for Input Group of Order 16 and Index 7) Group Size 16 447BCD68 AFD5B061 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 a () c b ac abd Design No 47(for Input Group of Order 16 and Index 7) Group Size 16 DE232D93 9CD43AA2 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 a () c bc ac abd Design No 48(for Input Group of Order 16 and Index 7) Group Size 16 DB787D34 5A3ABBED Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^1 (1)^27 (2)^15 (3)^3 (4)^1 (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 ad () c b ac abd Design No 49(for Input Group of Order 16 and Index 7) Group Size 16 A4B81DF8 2754BDF9 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 ad () c bc ac abd Design No 50(for Input Group of Order 16 and Index 7) Group Size 16 EB1C2481 080A241F 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 bc ac () c b acd abd Design No 51(for Input Group of Order 16 and Index 7) Group Size 16 47881AC8 B7DA656A 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 bc ac () c bc acd abd Design No 52(for Input Group of Order 16 and Index 7) Group Size 16 70987FFE E36A17DB 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 bc acd () c bc ad abc Design No 53(for Input Group of Order 16 and Index 7) Group Size 16 9962C7D6 77ACB738 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 a ab () d b bc ab () c b ad abc Design No 54(for Input Group of Order 16 and Index 7) Group Size 16 32D6BB32 EC79642A 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 bc abd () c b ac ab Design No 55(for Input Group of Order 16 and Index 7) Group Size 16 A42070B4 D104D157 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 bc abd () c bc ac ab Design No 56(for Input Group of Order 16 and Index 7) Group Size 16 593FD3DF C6B8F377 Block Intersection Formula {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (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 bc abc () c b ac abd Design No 57(for Input Group of Order 16 and Index 7) Group Size 16 AE6D20C3 640272B5 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 abc () c bc ac abd Design No 58(for Input Group of Order 16 and Index 7) Group Size 16 E3FE4BEC 8DAAA33E 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 bc abcd () c b ac abd Design No 59(for Input Group of Order 16 and Index 7) Group Size 16 420702BC 56E8718E 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 abcd () c bc ac abd Design No 60(for Input Group of Order 16 and Index 7) Group Size 16 1421D8C2 571F486B 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 a ab () d bc ac abc () c b bc ad Design No 61(for Input Group of Order 16 and Index 7) Group Size 64 6AEF1790 00DCEFD7 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 [[2,6,3,7],[4,5],[8,10,13,14],[9,11,12,15],[16,32,17,33],[18,38],[19,39],[20,37,21,36],[22,35],[23,34],[24,43,28,46],[25,42,29,47],[26,44,31,40],[27,45,30,41],[48,54,52,51],[49,55,53,50],[58,62,59,63],[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]], [[0,2,5,6],[1,3,4,7],[8,9],[10,15,11,14],[16,34,20,39],[17,35,21,38],[18,37,23,33],[19,36,22,32],[24,40,25,41],[26,46],[27,47],[28,45,29,44],[30,43],[31,42],[48,53,49,52],[50,51],[56,58,61,62],[57,59,60,63]], [[0,8,1,9],[2,15,3,14],[4,12,5,13],[6,11,7,10],[16,40,17,41],[18,47,19,46],[20,44,21,45],[22,43,23,42],[24,32,25,33],[26,39,27,38],[28,36,29,37],[30,35,31,34],[48,63,49,62],[50,57,51,56],[52,59,53,58],[54,61,55,60]] 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 bc ac abcd () c b bcd ac Design No 62(for Input Group of Order 16 and Index 7) Group Size 64 061BA30D 8A7FB4F0 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],[6,7],[8,13],[9,12],[10,14],[11,15],[16,17],[20,21],[24,28],[25,29],[26,31],[27,30],[32,33],[36,37],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[58,59],[62,63]], [[2,6,3,7],[4,5],[8,10,13,14],[9,11,12,15],[16,32,17,33],[18,38],[19,39],[20,37,21,36],[22,35],[23,34],[24,43,28,46],[25,42,29,47],[26,44,31,40],[27,45,30,41],[48,54,52,51],[49,55,53,50],[58,62,59,63],[60,61]], [[0,1],[4,5],[8,12],[9,13],[10,15],[11,14],[18,19],[22,23],[24,29],[25,28],[26,30],[27,31],[34,35],[38,39],[40,45],[41,44],[42,46],[43,47],[48,53],[49,52],[50,54],[51,55],[56,57],[60,61]], [[0,2],[1,3],[4,6],[5,7],[8,15],[9,14],[10,13],[11,12],[16,19],[17,18],[20,23],[21,22],[24,30],[25,31],[26,28],[27,29],[32,35],[33,34],[36,39],[37,38],[40,46],[41,47],[42,44],[43,45],[48,54],[49,55],[50,52],[51,53],[56,58],[57,59],[60,62],[61,63]], [[0,8,1,9],[2,15,3,14],[4,12,5,13],[6,11,7,10],[16,40,17,41],[18,47,19,46],[20,44,21,45],[22,43,23,42],[24,32,25,33],[26,39,27,38],[28,36,29,37],[30,35,31,34],[48,63,49,62],[50,57,51,56],[52,59,53,58],[54,61,55,60]] 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 bc ac abcd () c b bcd acd Design No 63(for Input Group of Order 16 and Index 7) Group Size 16 B43B5D6B AB205610 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 bc ac abcd () c b bcd ab Design No 64(for Input Group of Order 16 and Index 7) Group Size 960 6149AA3D 610F8BC9 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],[6,7],[8,13],[9,12],[10,14],[11,15],[16,17],[20,21],[24,28],[25,29],[26,31],[27,30],[32,33],[36,37],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[58,59],[62,63]], [[2,6,3,7],[4,5],[8,11,13,15],[9,10,12,14],[16,32,17,33],[18,38],[19,39],[20,37,21,36],[22,35],[23,34],[24,42,28,47],[25,43,29,46],[26,45,31,41],[27,44,30,40],[48,54,52,51],[49,55,53,50],[56,57],[58,63,59,62]], [[1,2,5,13,4,10],[3,7,8,9,14,11],[6,15,12],[16,54,30,44,52,33],[17,48,27],[18,53,34,21,56,26],[19,51,39,40,60,32],[20,58,31,42,49,29],[22,61,35],[23,63,38,46,57,28],[24,41,62,37,43,55],[25,47,59],[36,45,50]], [[0,1],[4,5],[8,12],[9,13],[10,15],[11,14],[18,19],[22,23],[24,29],[25,28],[26,30],[27,31],[34,35],[38,39],[40,45],[41,44],[42,46],[43,47],[48,53],[49,52],[50,54],[51,55],[56,57],[60,61]] Block Intersection Formula {(0)^7 (1)^10 (2)^30 (5)^1 }^48 Initial Blocks, in the group representation: () d c a ab () d bc acd abc () c b bcd abc Design No 65(for Input Group of Order 16 and Index 7) Group Size 16 278EE770 13E87A11 Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c a abc () d b bc ac () c bd ac abcd Design No 66(for Input Group of Order 16 and Index 7) Group Size 16 C1021909 932193CE 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 abc () d b bc ac () c bc acd abcd Design No 67(for Input Group of Order 16 and Index 7) Group Size 16 25376221 1C60AB57 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (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 abc () d b bcd a () c bd ac abcd Design No 68(for Input Group of Order 16 and Index 7) Group Size 16 86220712 00F5F7D9 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^32 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c a abc () d b bcd a () c bc acd abcd Design No 69(for Input Group of Order 16 and Index 7) Group Size 32 3BEE81CC A1A3EBB6 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[20,21],[22,23],[24,30],[25,31],[26,29],[27,28],[32,33],[34,35],[40,47],[41,46],[42,44],[43,45],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d c a abc () d b a abcd () c b bcd ad Design No 70(for Input Group of Order 16 and Index 7) Group Size 32 F6E9EA77 5945C9F8 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[20,21],[22,23],[24,30],[25,31],[26,29],[27,28],[32,33],[34,35],[40,47],[41,46],[42,44],[43,45],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d c a abc () d b ad abc () c b bcd ac Design No 71(for Input Group of Order 16 and Index 7) Group Size 32 2B3FFB04 58C67795 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[20,21],[22,23],[24,30],[25,31],[26,29],[27,28],[32,33],[34,35],[40,47],[41,46],[42,44],[43,45],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,10,9,11],[12,15,13,14],[16,20,17,21],[18,22,19,23],[24,26,25,27],[28,31,29,30],[32,37,33,36],[34,39,35,38],[40,43,41,42],[44,46,45,47],[48,50,49,51],[52,55,53,54],[56,60,57,61],[58,62,59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d c a abc () d b ad abc () c b bcd acd Design No 72(for Input Group of Order 16 and Index 7) Group Size 16 C201D9A5 010D82E4 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 a abc () d b ad abc () c b bcd ab Design No 73(for Input Group of Order 16 and Index 7) Group Size 32 29924242 EFA370CE 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[20,21],[22,23],[24,30],[25,31],[26,29],[27,28],[32,33],[34,35],[40,47],[41,46],[42,44],[43,45],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,10,9,11],[12,15,13,14],[16,20,17,21],[18,22,19,23],[24,26,25,27],[28,31,29,30],[32,37,33,36],[34,39,35,38],[40,43,41,42],[44,46,45,47],[48,50,49,51],[52,55,53,54],[56,60,57,61],[58,62,59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] 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 c a abc () d b ac ab () c b bcd ad Design No 74(for Input Group of Order 16 and Index 7) Group Size 32 5F526E92 B03F9603 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[20,21],[22,23],[24,30],[25,31],[26,29],[27,28],[32,33],[34,35],[40,47],[41,46],[42,44],[43,45],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,10,9,11],[12,15,13,14],[16,20,17,21],[18,22,19,23],[24,26,25,27],[28,31,29,30],[32,37,33,36],[34,39,35,38],[40,43,41,42],[44,46,45,47],[48,50,49,51],[52,55,53,54],[56,60,57,61],[58,62,59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] 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 a abc () d b acd abd () c b bcd ac Design No 75(for Input Group of Order 16 and Index 7) Group Size 32 77397E05 A52A4DD3 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[20,21],[22,23],[24,30],[25,31],[26,29],[27,28],[32,33],[34,35],[40,47],[41,46],[42,44],[43,45],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,10,9,11],[12,15,13,14],[16,20,17,21],[18,22,19,23],[24,26,25,27],[28,31,29,30],[32,37,33,36],[34,39,35,38],[40,43,41,42],[44,46,45,47],[48,50,49,51],[52,55,53,54],[56,60,57,61],[58,62,59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 Initial Blocks, in the group representation: () d c a abc () d b acd abd () c b bcd acd Design No 76(for Input Group of Order 16 and Index 7) Group Size 16 0108EAED 8FC2E633 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 abc () d b acd abd () c b bcd ab Design No 77(for Input Group of Order 16 and Index 7) Group Size 16 D850F52A 969E99BA Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^32 Initial Blocks, in the group representation: () d b bc ac () d a ac ab () c b abd abcd Design No 78(for Input Group of Order 16 and Index 7) Group Size 16 387C6695 B7E6A103 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d b bc ac () d a ac ab () c bc ab abcd Design No 79(for Input Group of Order 16 and Index 7) Group Size 16 8601D093 258DBD36 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 b bc ac () d a ac abc () c b abd abcd Design No 80(for Input Group of Order 16 and Index 7) Group Size 16 C807FCBF 30E226EC 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)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 Initial Blocks, in the group representation: () d b bc ac () d a ac abc () c bc ab abcd Design No 81(for Input Group of Order 16 and Index 7) Group Size 16 F87CE748 95AA5102 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 ac () d a acd ab () c b abd abcd Design No 82(for Input Group of Order 16 and Index 7) Group Size 16 87E20589 DB18F01A 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 b bc ac () d a acd ab () c bc ab abcd Design No 83(for Input Group of Order 16 and Index 7) Group Size 16 DD3E6349 4C01A4BA Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d b bc ac () d a acd abc () c bd abd abcd Design No 84(for Input Group of Order 16 and Index 7) Group Size 16 F525DBDC 84705CB1 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 Initial Blocks, in the group representation: () d b bc ac () d a acd abc () c bcd ab abcd Design No 85(for Input Group of Order 16 and Index 7) 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],[4,5],[8,11],[9,10],[12,14],[13,15],[16,17],[22,23],[24,26],[25,27],[28,31],[29,30],[34,35],[36,37],[40,43],[41,42],[44,46],[45,47],[48,51],[49,50],[52,54],[53,55],[56,57],[62,63]], [[0,1],[6,7],[8,10],[9,11],[12,15],[13,14],[18,19],[20,21],[24,27],[25,26],[28,30],[29,31],[32,33],[38,39],[40,42],[41,43],[44,47],[45,46],[48,50],[49,51],[52,55],[53,54],[58,59],[60,61]], [[0,2,1,3],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8],[1,9],[2,11],[3,10],[4,12],[5,13],[6,15],[7,14],[16,25],[17,24],[18,26],[19,27],[20,29],[21,28],[22,30],[23,31],[32,40],[33,41],[34,43],[35,42],[36,44],[37,45],[38,47],[39,46],[48,59],[49,58],[50,57],[51,56],[52,63],[53,62],[54,61],[55,60]] 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 b a ac () d bc ab abc () c b bcd ad Design No 86(for Input Group of Order 16 and Index 7) Group Size 32 60186991 D6C6C67A 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],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[22,23],[24,27],[25,26],[28,30],[29,31],[34,35],[36,37],[40,42],[41,43],[44,47],[45,46],[48,51],[49,50],[52,54],[53,55],[58,59],[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],[4,7],[5,6],[8,9],[14,15],[16,19],[17,18],[20,22],[21,23],[26,27],[28,29],[32,34],[33,35],[36,39],[37,38],[40,41],[46,47],[50,51],[52,53],[56,58],[57,59],[60,63],[61,62]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,1,9],[2,11,3,10],[4,12,5,13],[6,15,7,14],[16,25,17,24],[18,26,19,27],[20,29,21,28],[22,30,23,31],[32,40,33,41],[34,43,35,42],[36,44,37,45],[38,47,39,46],[48,59,49,58],[50,57,51,56],[52,63,53,62],[54,61,55,60]] 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 b a acd () d bc ab abcd () c b bcd ac Design No 87(for Input Group of Order 16 and Index 7) Group Size 32 20DCCD5A 66A4E80B 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],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[22,23],[24,27],[25,26],[28,30],[29,31],[34,35],[36,37],[40,42],[41,43],[44,47],[45,46],[48,51],[49,50],[52,54],[53,55],[58,59],[60,61]], [[0,1],[6,7],[8,11],[9,10],[12,14],[13,15],[18,19],[20,21],[24,26],[25,27],[28,31],[29,30],[32,33],[38,39],[40,43],[41,42],[44,46],[45,47],[48,50],[49,51],[52,55],[53,54],[56,57],[62,63]], [[0,2,1,3],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,1,9],[2,11,3,10],[4,12,5,13],[6,15,7,14],[16,25,17,24],[18,26,19,27],[20,29,21,28],[22,30,23,31],[32,40,33,41],[34,43,35,42],[36,44,37,45],[38,47,39,46],[48,59,49,58],[50,57,51,56],[52,63,53,62],[54,61,55,60]] 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)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 Initial Blocks, in the group representation: () d b a acd () d bc ab abcd () c b bcd acd Design No 88(for Input Group of Order 16 and Index 7) Group Size 32 BFCBD059 676E3D48 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],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[22,23],[24,27],[25,26],[28,30],[29,31],[34,35],[36,37],[40,42],[41,43],[44,47],[45,46],[48,51],[49,50],[52,54],[53,55],[58,59],[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],[4,7],[5,6],[8,9],[14,15],[16,19],[17,18],[20,22],[21,23],[26,27],[28,29],[32,34],[33,35],[36,39],[37,38],[40,41],[46,47],[50,51],[52,53],[56,58],[57,59],[60,63],[61,62]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,1,9],[2,11,3,10],[4,12,5,13],[6,15,7,14],[16,25,17,24],[18,26,19,27],[20,29,21,28],[22,30,23,31],[32,40,33,41],[34,43,35,42],[36,44,37,45],[38,47,39,46],[48,59,49,58],[50,57,51,56],[52,63,53,62],[54,61,55,60]] 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 b a acd () d bc ab abcd () c b bcd ab Design No 89(for Input Group of Order 16 and Index 7) Group Size 32 2D50884F 803164A3 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],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[22,23],[24,27],[25,26],[28,30],[29,31],[34,35],[36,37],[40,42],[41,43],[44,47],[45,46],[48,51],[49,50],[52,54],[53,55],[58,59],[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],[4,7],[5,6],[8,9],[14,15],[16,19],[17,18],[20,22],[21,23],[26,27],[28,29],[32,34],[33,35],[36,39],[37,38],[40,41],[46,47],[50,51],[52,53],[56,58],[57,59],[60,63],[61,62]], [[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,1,9],[2,11,3,10],[4,12,5,13],[6,15,7,14],[16,25,17,24],[18,26,19,27],[20,29,21,28],[22,30,23,31],[32,40,33,41],[34,43,35,42],[36,44,37,45],[38,47,39,46],[48,59,49,58],[50,57,51,56],[52,63,53,62],[54,61,55,60]] Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^32 Initial Blocks, in the group representation: () d b a acd () d bc ab abcd () c b bcd abd Design No 90(for Input Group of Order 16 and Index 7) Group Size 16 8D51554F B6E69BFA Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 Initial Blocks, in the group representation: () d a ac ab () d a abd abc () c b bcd ac Design No 91(for Input Group of Order 16 and Index 7) Group Size 16 FE453D79 1DA82436 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d a ac ab () d a abd abcd () c b bcd ac Design No 92(for Input Group of Order 16 and Index 7) Group Size 16 8A9968CA F140F4F5 Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d a ac ab () d a abd abcd () c b bcd ab Design No 93(for Input Group of Order 16 and Index 7) Group Size 32 1C3B604B 344CE8BA 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[16,33],[17,32],[18,35],[19,34],[20,36],[21,37],[22,38],[23,39],[24,47],[25,46],[26,44],[27,45],[28,42],[29,43],[30,41],[31,40],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,10,9,11],[12,15,13,14],[16,37,17,36],[18,39,19,38],[20,32,21,33],[22,34,23,35],[24,43,25,42],[26,40,27,41],[28,46,29,47],[30,45,31,44],[48,50,49,51],[52,55,53,54],[56,60,57,61],[58,62,59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d a ac ab () d ac ab abcd () c b bcd ac Design No 94(for Input Group of Order 16 and Index 7) Group Size 96 12398676 62904B58 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 [[4,5],[6,7],[8,15],[9,14],[10,12],[11,13],[16,32],[17,33],[18,34],[19,35],[20,37],[21,36],[22,39],[23,38],[24,47],[25,46],[26,44],[27,45],[28,42],[29,43],[30,41],[31,40],[48,54],[49,55],[50,53],[51,52],[56,57],[58,59]], [[1,4],[2,10],[3,14],[6,11],[7,15],[8,13],[16,45],[17,41],[19,22],[20,44],[21,40],[24,58],[25,62],[26,50],[27,54],[28,59],[29,63],[30,51],[31,55],[32,48],[33,52],[34,60],[35,56],[36,49],[37,53],[38,61],[39,57],[42,47]], [[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]] Block Intersection Formula {(0)^1 (1)^26 (2)^18 (4)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d a ac ab () d ac ab abcd () c b bcd ab Design No 95(for Input Group of Order 16 and Index 7) Group Size 16 3BB4CFFC 913DC7B7 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d a ac ab () d ac abd abcd () c b bcd ac Design No 96(for Input Group of Order 16 and Index 7) Group Size 16 8074C18F A9153FEC Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d a ac ab () d ac abd abcd () c b bcd ab Design No 97(for Input Group of Order 16 and Index 7) Group Size 16 23C911B4 7530A25C Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d a acd ab () d a abd abcd () c b bcd ac Design No 98(for Input Group of Order 16 and Index 7) Group Size 32 D00ED5E6 AAD5CD96 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 [[4,5],[6,7],[8,14],[9,15],[10,13],[11,12],[16,33],[17,32],[18,35],[19,34],[20,36],[21,37],[22,38],[23,39],[24,47],[25,46],[26,44],[27,45],[28,42],[29,43],[30,41],[31,40],[48,54],[49,55],[50,53],[51,52],[60,61],[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,10,9,11],[12,15,13,14],[16,37,17,36],[18,39,19,38],[20,32,21,33],[22,34,23,35],[24,43,25,42],[26,40,27,41],[28,46,29,47],[30,45,31,44],[48,50,49,51],[52,55,53,54],[56,60,57,61],[58,62,59,63]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d a acd ab () d ac abd abcd () c b bcd ac Design No 99(for Input Group of Order 16 and Index 7) Group Size 32 A3C28ABC 394A2D8A 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 [[4,5],[6,7],[8,15],[9,14],[10,12],[11,13],[16,32],[17,33],[18,34],[19,35],[20,37],[21,36],[22,39],[23,38],[24,47],[25,46],[26,44],[27,45],[28,42],[29,43],[30,41],[31,40],[48,54],[49,55],[50,53],[51,52],[56,57],[58,59]], [[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],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63]], [[0,4,1,5],[2,6,3,7],[8,11,9,10],[12,14,13,15],[16,36,17,37],[18,38,19,39],[20,33,21,32],[22,35,23,34],[24,43,25,42],[26,40,27,41],[28,46,29,47],[30,45,31,44],[48,50,49,51],[52,55,53,54],[56,61,57,60],[58,63,59,62]], [[0,8,2,10,1,9,3,11],[4,13,6,15,5,12,7,14],[16,24,18,26,17,25,19,27],[20,29,22,31,21,28,23,30],[32,40,34,42,33,41,35,43],[36,45,38,47,37,44,39,46],[48,56,50,58,49,57,51,59],[52,61,54,63,53,60,55,62]] Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 Initial Blocks, in the group representation: () d a acd ab () d ac abd abcd () c b bcd ab