Design No 1(for Input Group of Order 16 and Index 6) Group Size 16 3EFE8331 E0F75D4D 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 a abd () c b abd abcd Design No 2(for Input Group of Order 16 and Index 6) Group Size 16 7BB9B8B0 A2A3BBB6 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 a abd () c bc abd abc Design No 3(for Input Group of Order 16 and Index 6) Group Size 16 4EF68B4E B5C18640 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 ac abcd () c b abd abcd Design No 4(for Input Group of Order 16 and Index 6) Group Size 16 5F120C8D BA04A8DA Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (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 bc abd abc Design No 5(for Input Group of Order 16 and Index 6) Group Size 16 68F9A432 B9FBD5E5 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 ab abcd () c bd ad abd Design No 6(for Input Group of Order 16 and Index 6) Group Size 16 FC3F02A6 674B820C 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 ab abcd () c bd acd abcd Design No 7(for Input Group of Order 16 and Index 6) Group Size 16 B02060E5 0613AB70 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 c b a () d bc ab abcd () c bcd ad abd Design No 8(for Input Group of Order 16 and Index 6) Group Size 16 513AB93A 59182C46 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 ab abcd () c bcd ac abc Design No 9(for Input Group of Order 16 and Index 6) Group Size 16 134C54BA D82C83CE 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 b a () d bc abd abc () c bd ad abd Design No 10(for Input Group of Order 16 and Index 6) Group Size 16 F2403F0B 17A586E8 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 abd abc () c bd acd abcd Design No 11(for Input Group of Order 16 and Index 6) Group Size 16 8F95D16D 4CD7101F 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 abd abc () c bcd ad abd Design No 12(for Input Group of Order 16 and Index 6) Group Size 16 066149A0 7769FF9D 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 abd abc () c bcd ac abc Design No 13(for Input Group of Order 16 and Index 6) Group Size 16 E62ADF54 532AB47A Block Intersection Formula {(0)^4 (1)^18 (2)^24 (4)^1 (5)^1 }^16 {(0)^6 (1)^13 (2)^27 (3)^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 b a () d bc abd abcd () c b a abd Design No 14(for Input Group of Order 16 and Index 6) Group Size 16 CA44E801 424DE667 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 bc abd abcd () c b ac abcd Design No 15(for Input Group of Order 16 and Index 6) Group Size 16 3D103249 66E46E1A 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 bc abd abcd () c bc a abd Design No 16(for Input Group of Order 16 and Index 6) Group Size 16 9E12FDED 281A062B 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 bc abd abcd () c bc acd abc Design No 17(for Input Group of Order 16 and Index 6) Group Size 16 52900228 D9A1D0CB 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 b ad abcd Design No 18(for Input Group of Order 16 and Index 6) Group Size 16 BD132A84 E3CBE5DB 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 abd abc () c b acd abd Design No 19(for Input Group of Order 16 and Index 6) Group Size 16 28C88444 4582D117 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 abc () c bc ad abc Design No 20(for Input Group of Order 16 and Index 6) Group Size 16 4D52D52A CFD22719 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 abd abc () c bc ac abd Design No 21(for Input Group of Order 16 and Index 6) Group Size 16 3060C0F5 7A827257 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 b ad abcd Design No 22(for Input Group of Order 16 and Index 6) Group Size 16 ED8320A5 F5323834 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 abd abcd () c b acd abd Design No 23(for Input Group of Order 16 and Index 6) Group Size 16 9F3911F4 A19E4D16 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 bc ad abc Design No 24(for Input Group of Order 16 and Index 6) Group Size 16 1C8F948C 69343568 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 bc ac abd Design No 25(for Input Group of Order 16 and Index 6) Group Size 16 CFC27BD6 FD5AE01D 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 ab abcd () c b ad abcd Design No 26(for Input Group of Order 16 and Index 6) Group Size 16 852B266D B221E76C 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 c b a () d ac ab abcd () c b acd abd Design No 27(for Input Group of Order 16 and Index 6) Group Size 16 D5E6548D 5EDADE04 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 ab abcd () c bc ad abc Design No 28(for Input Group of Order 16 and Index 6) Group Size 16 DAFCA0FB 876B0C5B 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 ab abcd () c bc ac abd Design No 29(for Input Group of Order 16 and Index 6) Group Size 16 BEF29356 B8DD2E53 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 abcd () c b ad abcd Design No 30(for Input Group of Order 16 and Index 6) Group Size 16 75946BF6 CD8D3680 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 ac abd abcd () c b acd abd Design No 31(for Input Group of Order 16 and Index 6) Group Size 16 5DF2DC11 96EB18FD 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 abcd () c bc ad abc Design No 32(for Input Group of Order 16 and Index 6) Group Size 16 D56B6145 2F763B69 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 bc ac abd Design No 33(for Input Group of Order 16 and Index 6) Group Size 16 D0D41E75 A929EC1D 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 a abc () c bd abd abcd Design No 34(for Input Group of Order 16 and Index 6) Group Size 16 B03230C0 5D04F596 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 a abc () c bcd abd abc Design No 35(for Input Group of Order 16 and Index 6) Group Size 16 A2EEE486 D8573928 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 c bc a () d b acd abd () c bd abd abcd Design No 36(for Input Group of Order 16 and Index 6) Group Size 16 A915D8CA 09DE6AA9 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 abd () c bcd abd abc Design No 37(for Input Group of Order 16 and Index 6) Group Size 16 3632DD68 AEA98BA7 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 bc a () d b abd abc () c bd a abcd Design No 38(for Input Group of Order 16 and Index 6) Group Size 16 25B54E1D 2E5F73F7 Block Intersection Formula {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^5 (1)^16 (2)^24 (3)^2 (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 ac abd Design No 39(for Input Group of Order 16 and Index 6) Group Size 16 DDA5E656 A3CF2834 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 bcd a abc Design No 40(for Input Group of Order 16 and Index 6) Group Size 16 DEC5DA1B 0BB5F7A5 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 41(for Input Group of Order 16 and Index 6) Group Size 16 2912DB6B 175B5198 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 a abd abc () c bd ad abd Design No 42(for Input Group of Order 16 and Index 6) Group Size 16 693A035A 398A786B 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 a abd abc () c bd acd abcd Design No 43(for Input Group of Order 16 and Index 6) Group Size 16 90E7BE94 87F68F73 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 }^32 Initial Blocks, in the group representation: () d c bc a () d a abd abc () c bcd ad abd Design No 44(for Input Group of Order 16 and Index 6) Group Size 16 B68A219C 260FAE94 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 a abd abc () c bcd ac abc Design No 45(for Input Group of Order 16 and Index 6) Group Size 16 32AEF2A2 0116665F 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 a abd abcd () c bd ad abd Design No 46(for Input Group of Order 16 and Index 6) Group Size 16 E5FB5466 BB5094ED 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 }^32 Initial Blocks, in the group representation: () d c bc a () d a abd abcd () c bd acd abcd Design No 47(for Input Group of Order 16 and Index 6) Group Size 16 41C21761 21C4880F 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 a abd abcd () c bcd ad abd Design No 48(for Input Group of Order 16 and Index 6) Group Size 16 87059529 B89E9FEA 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 a abd abcd () c bcd ac abc Design No 49(for Input Group of Order 16 and Index 6) Group Size 16 BF76A122 50AEFA52 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 }^32 Initial Blocks, in the group representation: () d c bc a () d ac ab abcd () c bd ad abd Design No 50(for Input Group of Order 16 and Index 6) Group Size 16 207C94F5 94D7496B 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 ac ab abcd () c bd acd abcd Design No 51(for Input Group of Order 16 and Index 6) Group Size 16 2F956E37 94726495 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 ad abd Design No 52(for Input Group of Order 16 and Index 6) Group Size 16 DD686EF9 07F8737C 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 53(for Input Group of Order 16 and Index 6) Group Size 16 CA4223F0 58486EF8 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 54(for Input Group of Order 16 and Index 6) Group Size 16 4E72239E E6BF7264 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 acd abcd Design No 55(for Input Group of Order 16 and Index 6) Group Size 16 96153C3F ED36A9E8 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 ac abd abcd () c bcd ad abd Design No 56(for Input Group of Order 16 and Index 6) Group Size 16 EE94C874 0FDF4FBC 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 }^32 Initial Blocks, in the group representation: () d c bc a () d ac abd abcd () c bcd ac abc Design No 57(for Input Group of Order 16 and Index 6) Group Size 16 C66F9159 0B23DA91 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 ad () c bd ad abc Design No 58(for Input Group of Order 16 and Index 6) Group Size 16 62A221ED 251CA91A 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 ad () c bd acd ab Design No 59(for Input Group of Order 16 and Index 6) Group Size 16 C474E86F 057E21C0 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 ad () c bcd ad abcd Design No 60(for Input Group of Order 16 and Index 6) Group Size 16 EA81D53E 75D63F05 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 ad () c bcd ac ab Design No 61(for Input Group of Order 16 and Index 6) Group Size 16 7A433166 45489C27 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 ac () c bd ad abc Design No 62(for Input Group of Order 16 and Index 6) Group Size 16 42140E8C 2F64E376 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 bcd ac () c bd acd ab Design No 63(for Input Group of Order 16 and Index 6) Group Size 16 53DC3E24 C5E66A30 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 64(for Input Group of Order 16 and Index 6) Group Size 16 316FBC0A F3454E17 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 ac () c bcd ac ab Design No 65(for Input Group of Order 16 and Index 6) Group Size 16 4C6457A5 5910D4F5 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 ab () d bc a abd () c b bcd ac Design No 66(for Input Group of Order 16 and Index 6) Group Size 16 AC5CE8A6 6A67923E 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 ab () d bc a abd () c b bcd abd Design No 67(for Input Group of Order 16 and Index 6) Group Size 16 E1451219 38A01ACC Block Intersection Formula {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (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 ab () d bc ad abd () c bd bcd ac Design No 68(for Input Group of Order 16 and Index 6) Group Size 16 DAAA8BA3 513BF3E4 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 69(for Input Group of Order 16 and Index 6) Group Size 16 31A8B487 62AC25E1 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 abd Design No 70(for Input Group of Order 16 and Index 6) Group Size 16 F21B98D4 40CEBAE7 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 ab () d bc acd abcd () c bd bcd ac Design No 71(for Input Group of Order 16 and Index 6) Group Size 16 0FDED43F 2B1D97EA 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 bc ad () c b ad ab Design No 72(for Input Group of Order 16 and Index 6) Group Size 16 3A5644B8 9E66C29D 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 bc ad () c b acd abc Design No 73(for Input Group of Order 16 and Index 6) Group Size 16 C662615E 432B9712 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 bc ad () c bc ad ab Design No 74(for Input Group of Order 16 and Index 6) Group Size 16 A597D62C 861FDF8B Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d c a abc () d b bc ad () c bc ac abcd Design No 75(for Input Group of Order 16 and Index 6) Group Size 16 EF2F64CA D9BA255F 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 a abc () d b bc ac () c bd ad abd Design No 76(for Input Group of Order 16 and Index 6) Group Size 16 ECE56375 AAAA5619 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 a abc () d b bc ac () c bd acd abcd Design No 77(for Input Group of Order 16 and Index 6) Group Size 16 FCB4BD4D 07E45C27 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 bc ac () c bcd ad abd Design No 78(for Input Group of Order 16 and Index 6) Group Size 16 CBECCBAB 6F3F3E88 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 bc ac () c bcd ac abc Design No 79(for Input Group of Order 16 and Index 6) Group Size 16 20898763 F61CA614 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 bc acd () c bd ad abd Design No 80(for Input Group of Order 16 and Index 6) Group Size 16 D68999C1 EFE61E3A Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^32 Initial Blocks, in the group representation: () d c a abc () d b bc acd () c bd acd abcd Design No 81(for Input Group of Order 16 and Index 6) Group Size 16 631B6868 C6CC9405 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 bc acd () c bcd ad abd Design No 82(for Input Group of Order 16 and Index 6) Group Size 16 094FC61B 2093A830 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 bc acd () c bcd ac abc Design No 83(for Input Group of Order 16 and Index 6) Group Size 16 7FB9011B 7BA9E932 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 bc abd () c b a abd Design No 84(for Input Group of Order 16 and Index 6) Group Size 16 98ECB930 8F0801FF 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 bc abd () c b ac abcd Design No 85(for Input Group of Order 16 and Index 6) Group Size 16 7621F13C 67ED947D 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 bc abd () c bc a abd Design No 86(for Input Group of Order 16 and Index 6) Group Size 16 5641110F 9FF0A092 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (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 bc abd () c bc acd abc Design No 87(for Input Group of Order 16 and Index 6) Group Size 16 38FE12E7 05ADA071 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 a abc () d b bc abc () c bd ad abd Design No 88(for Input Group of Order 16 and Index 6) Group Size 16 3F287E25 D4D34DBC 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 a abc () d b bc abc () c bd acd abcd Design No 89(for Input Group of Order 16 and Index 6) Group Size 16 90F5A5D5 D9E13F1D 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 bc abc () c bcd ad abd Design No 90(for Input Group of Order 16 and Index 6) Group Size 16 E0092420 6D1C6169 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 bc abc () c bcd ac abc Design No 91(for Input Group of Order 16 and Index 6) Group Size 16 195D68C2 4B0105AE 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 bc abcd () c bd ad abd Design No 92(for Input Group of Order 16 and Index 6) Group Size 16 F1FEB214 3275227A Block Intersection Formula {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 {(0)^2 (1)^24 (2)^18 (3)^2 (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 abc () d b bc abcd () c bd acd abcd Design No 93(for Input Group of Order 16 and Index 6) Group Size 16 13BD3775 E1774A91 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 bc abcd () c bcd ad abd Design No 94(for Input Group of Order 16 and Index 6) Group Size 16 6E9F11CF 98DFEAAA 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 bc abcd () c bcd ac abc Design No 95(for Input Group of Order 16 and Index 6) Group Size 16 4CA539CB DCB0A89D Block Intersection Formula {(0)^4 (1)^18 (2)^24 (4)^1 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (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 abc () c b bcd ac Design No 96(for Input Group of Order 16 and Index 6) Group Size 16 4781250D 18DEB94E Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 Initial Blocks, in the group representation: () d c a abc () d b a abc () c b bcd abd Design No 97(for Input Group of Order 16 and Index 6) Group Size 16 ACBEF748 F9806DF5 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 abc () d b ac ab () c b bcd ad Design No 98(for Input Group of Order 16 and Index 6) Group Size 16 E12A74BD CB4C5455 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 ac ab () c b bcd abc Design No 99(for Input Group of Order 16 and Index 6) Group Size 16 CB302201 44FA1017 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 a () d a ac ab () c bd abd abcd Design No 100(for Input Group of Order 16 and Index 6) Group Size 16 2D651C57 C278697A Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d b bc a () d a ac ab () c bcd abd abc Design No 101(for Input Group of Order 16 and Index 6) Group Size 16 17A8B13E 32E5F8F6 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 a () d a ac abc () c bd abd abcd Design No 102(for Input Group of Order 16 and Index 6) Group Size 16 E8F4AD72 6456D351 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 a () d a ac abc () c bcd abd abc Design No 103(for Input Group of Order 16 and Index 6) Group Size 16 28BE991B 772FF052 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 a acd ab () c bd abd abcd Design No 104(for Input Group of Order 16 and Index 6) Group Size 16 30A4B00B 36F0EE32 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 a () d a acd ab () c bcd abd abc Design No 105(for Input Group of Order 16 and Index 6) Group Size 16 36150575 772CAA64 Block Intersection Formula {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 Initial Blocks, in the group representation: () d b bc a () d a acd abc () c b abd abcd Design No 106(for Input Group of Order 16 and Index 6) Group Size 16 186A88AC 678A5788 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 a () d a acd abc () c bc abd abc Design No 107(for Input Group of Order 16 and Index 6) 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],[4,5],[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],[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],[10,11],[12,13],[16,19],[17,18],[20,22],[21,23],[24,25],[30,31],[32,34],[33,35],[36,39],[37,38],[42,43],[44,45],[50,51],[52,53],[56,59],[57,58],[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],[4,13],[5,12],[6,14],[7,15],[16,25],[17,24],[18,26],[19,27],[20,28],[21,29],[22,31],[23,30],[32,40],[33,41],[34,43],[35,42],[36,45],[37,44],[38,46],[39,47],[48,59],[49,58],[50,57],[51,56],[52,62],[53,63],[54,60],[55,61]] Block Intersection Formula {(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 Initial Blocks, in the group representation: () d b a ac () d bc ab abc () c b bcd ad Design No 108(for Input Group of Order 16 and Index 6) 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],[4,5],[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]], [[0,8,2,10,1,9,3,11],[4,12,6,14,5,13,7,15],[16,24,18,26,17,25,19,27],[20,28,22,30,21,29,23,31],[32,40,34,42,33,41,35,43],[36,44,38,46,37,45,39,47],[48,56,50,58,49,57,51,59],[52,60,54,62,53,61,55,63]] 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 a ac () d bc ab abc () c b bcd abc Design No 109(for Input Group of Order 16 and Index 6) 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],[4,5],[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],[4,13,5,12],[6,14,7,15],[16,25,17,24],[18,26,19,27],[20,28,21,29],[22,31,23,30],[32,40,33,41],[34,43,35,42],[36,45,37,44],[38,46,39,47],[48,59,49,58],[50,57,51,56],[52,62,53,63],[54,60,55,61]] 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 b a acd () d bc ab abcd () c b bcd ac Design No 110(for Input Group of Order 16 and Index 6) 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],[4,5],[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],[4,7],[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]], [[0,8,2,10,1,9,3,11],[4,12,6,14,5,13,7,15],[16,24,18,26,17,25,19,27],[20,28,22,30,21,29,23,31],[32,40,34,42,33,41,35,43],[36,44,38,46,37,45,39,47],[48,56,50,58,49,57,51,59],[52,60,54,62,53,61,55,63]] Block Intersection Formula {(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 {(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 {(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 Initial Blocks, in the group representation: () d b a acd () d bc ab abcd () c b bcd abd Design No 111(for Input Group of Order 16 and Index 6) Group Size 32 101E0126 1C88F616 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 [[8,13],[9,12],[10,15],[11,14],[16,33],[17,32],[18,35],[19,34],[20,37],[21,36],[22,39],[23,38],[24,44],[25,45],[26,46],[27,47],[28,40],[29,41],[30,42],[31,43],[48,53],[49,52],[50,55],[51,54]], [[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],[8,9],[10,11],[12,13],[14,15],[16,37],[17,36],[18,39],[19,38],[20,33],[21,32],[22,35],[23,34],[24,40],[25,41],[26,42],[27,43],[28,44],[29,45],[30,46],[31,47],[48,49],[50,51],[52,53],[54,55],[56,60],[57,61],[58,62],[59,63]], [[0,8,2,10,1,9,3,11],[4,12,6,14,5,13,7,15],[16,24,18,26,17,25,19,27],[20,28,22,30,21,29,23,31],[32,40,34,42,33,41,35,43],[36,44,38,46,37,45,39,47],[48,56,50,58,49,57,51,59],[52,60,54,62,53,61,55,63]] Block Intersection Formula {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^48 Initial Blocks, in the group representation: () d a ac ab () d a ab abc () c bd bcd ac Design No 112(for Input Group of Order 16 and Index 6) Group Size 16 48AEAD56 8E7FB0BB Block Intersection Formula {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^32 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d a ac ab () d a ab abcd () c bd bcd ac Design No 113(for Input Group of Order 16 and Index 6) Group Size 32 49004309 25CC59BA 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],[8,15],[9,14],[10,13],[11,12],[16,33],[17,32],[18,34],[19,35],[20,37],[21,36],[22,38],[23,39],[24,46],[25,47],[26,44],[27,45],[28,42],[29,43],[30,40],[31,41],[48,54],[49,55],[50,52],[51,53],[58,59],[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],[4,6,5,7],[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],[2,7],[3,6],[8,11],[9,10],[12,15],[13,14],[16,37],[17,36],[18,38],[19,39],[20,33],[21,32],[22,34],[23,35],[24,42],[25,43],[26,40],[27,41],[28,46],[29,47],[30,44],[31,45],[48,50],[49,51],[52,54],[53,55],[56,60],[57,61],[58,63],[59,62]], [[0,8,2,10,1,9,3,11],[4,12,6,14,5,13,7,15],[16,24,18,26,17,25,19,27],[20,28,22,30,21,29,23,31],[32,40,34,42,33,41,35,43],[36,44,38,46,37,45,39,47],[48,56,50,58,49,57,51,59],[52,60,54,62,53,61,55,63]] Block Intersection Formula {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^32 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d a ac ab () d ac ab abc () c bd bcd ac Design No 114(for Input Group of Order 16 and Index 6) Group Size 16 7CBA4A10 6FFD93E8 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 a ac ab () d ac abd abc () c bd bcd ac Design No 115(for Input Group of Order 16 and Index 6) Group Size 32 AE6AE53D 80CDF504 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],[8,15],[9,14],[10,13],[11,12],[16,33],[17,32],[18,34],[19,35],[20,37],[21,36],[22,38],[23,39],[24,46],[25,47],[26,44],[27,45],[28,42],[29,43],[30,40],[31,41],[48,54],[49,55],[50,52],[51,53],[58,59],[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],[4,6,5,7],[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],[4,12,6,14,5,13,7,15],[16,24,18,26,17,25,19,27],[20,28,22,30,21,29,23,31],[32,40,34,42,33,41,35,43],[36,44,38,46,37,45,39,47],[48,56,50,58,49,57,51,59],[52,60,54,62,53,61,55,63]] Block Intersection Formula {(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^32 {(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 Initial Blocks, in the group representation: () d a acd ab () d ac abd abc () c bd bcd ac