Design No 1(for Input Group of Order 16 and Index 5) Group Size 16 4DCFD1E5 2A432578 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d c () b a () bd a () bc ad () bc ac Design No 2(for Input Group of Order 16 and Index 5) Group Size 128 032F2F2B 97C0FFA3 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],[12,13],[14,15],[20,21],[22,23],[28,29],[30,31],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,56],[41,57],[42,58],[43,59],[44,61],[45,60],[46,63],[47,62],[64,87],[65,86],[66,84],[67,85],[68,82],[69,83],[70,81],[71,80],[72,95],[73,94],[74,92],[75,93],[76,90],[77,91],[78,89],[79,88]], [[4,6,5,7],[8,9],[10,11],[12,15,13,14],[20,22,21,23],[24,25],[26,27],[28,31,29,30],[32,64,48,87],[33,65,49,86],[34,66,50,84],[35,67,51,85],[36,80,53,71],[37,81,52,70],[38,82,55,68],[39,83,54,69],[40,73,56,94],[41,72,57,95],[42,75,58,93],[43,74,59,92],[44,89,61,78],[45,88,60,79],[46,91,63,77],[47,90,62,76]], [[2,3],[4,12],[5,13],[6,15],[7,14],[8,10],[9,11],[16,17],[20,29],[21,28],[22,30],[23,31],[24,27],[25,26],[32,92],[33,93],[34,95],[35,94],[38,39],[40,67],[41,66],[42,65],[43,64],[44,63],[45,62],[46,61],[47,60],[48,74],[49,75],[50,72],[51,73],[54,55],[56,85],[57,84],[58,86],[59,87],[68,69],[76,88],[77,89],[78,91],[79,90],[82,83]], [[0,1],[4,12],[5,13],[6,15],[7,14],[8,11],[9,10],[18,19],[20,29],[21,28],[22,30],[23,31],[24,26],[25,27],[32,75],[33,74],[34,73],[35,72],[36,52],[37,53],[38,55],[39,54],[40,84],[41,85],[42,87],[43,86],[44,47],[45,46],[48,93],[49,92],[50,94],[51,95],[56,66],[57,67],[58,64],[59,65],[60,63],[61,62],[68,82],[69,83],[70,80],[71,81],[76,78],[77,79],[88,91],[89,90]], [[0,2],[1,3],[4,12,5,13],[6,15,7,14],[10,11],[16,19],[17,18],[20,29,21,28],[22,30,23,31],[24,25],[32,40,48,56],[33,41,49,57],[34,43,50,59],[35,42,51,58],[36,82,53,68],[37,83,52,69],[38,80,55,71],[39,81,54,70],[44,79,61,88],[45,78,60,89],[46,77,63,91],[47,76,62,90],[64,73,87,94],[65,72,86,95],[66,74,84,92],[67,75,85,93]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d c () b a () bd a () bc ad () bc abcd Design No 3(for Input Group of Order 16 and Index 5) Group Size 64 EEAE3A15 85DE06E4 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],[12,13],[14,15],[20,21],[22,23],[28,29],[30,31],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,56],[41,57],[42,58],[43,59],[44,61],[45,60],[46,63],[47,62],[64,87],[65,86],[66,84],[67,85],[68,82],[69,83],[70,81],[71,80],[72,95],[73,94],[74,92],[75,93],[76,90],[77,91],[78,89],[79,88]], [[2,3],[4,6],[5,7],[8,10],[9,11],[12,13],[16,17],[20,23],[21,22],[24,27],[25,26],[30,31],[32,64],[33,65],[34,67],[35,66],[36,80],[37,81],[38,83],[39,82],[40,74],[41,75],[42,72],[43,73],[44,90],[45,91],[46,88],[47,89],[48,87],[49,86],[50,85],[51,84],[52,70],[53,71],[54,68],[55,69],[56,92],[57,93],[58,95],[59,94],[60,77],[61,76],[62,78],[63,79]], [[0,1],[4,6],[5,7],[8,11],[9,10],[12,13],[18,19],[20,23],[21,22],[24,26],[25,27],[30,31],[32,86],[33,87],[34,84],[35,85],[36,70],[37,71],[38,68],[39,69],[40,93],[41,92],[42,94],[43,95],[44,77],[45,76],[46,78],[47,79],[48,65],[49,64],[50,66],[51,67],[52,80],[53,81],[54,83],[55,82],[56,75],[57,74],[58,73],[59,72],[60,90],[61,91],[62,88],[63,89]], [[0,2],[1,3],[6,7],[8,9],[12,14],[13,15],[16,19],[17,18],[20,21],[26,27],[28,31],[29,30],[32,84],[33,85],[34,87],[35,86],[36,68],[37,69],[38,71],[39,70],[40,94],[41,95],[42,92],[43,93],[44,78],[45,79],[46,76],[47,77],[48,66],[49,67],[50,64],[51,65],[52,83],[53,82],[54,81],[55,80],[56,73],[57,72],[58,74],[59,75],[60,88],[61,89],[62,91],[63,90]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[0,8,1,9],[2,11,3,10],[4,15,5,14],[6,13,7,12],[16,25,17,24],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,95,33,94],[34,93,35,92],[36,79,37,78],[38,77,39,76],[40,86,41,87],[42,84,43,85],[44,70,45,71],[46,68,47,69],[48,72,49,73],[50,75,51,74],[52,89,53,88],[54,90,55,91],[56,65,57,64],[58,66,59,67],[60,80,61,81],[62,83,63,82]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d c () b a () bd a () bc ac () bc abd Design No 4(for Input Group of Order 16 and Index 5) Group Size 32 4A299081 40EE0193 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],[32,48],[33,49],[34,51],[35,50],[36,53],[37,52],[38,54],[39,55],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]], [[0,1],[6,7],[8,11],[9,10],[12,14],[13,15],[18,19],[20,21],[24,26],[25,27],[28,31],[29,30],[32,49],[33,48],[34,50],[35,51],[36,52],[37,53],[38,55],[39,54],[40,59],[41,58],[42,57],[43,56],[44,62],[45,63],[46,60],[47,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]], [[0,2],[1,3],[4,7],[5,6],[8,9],[14,15],[16,19],[17,18],[20,22],[21,23],[26,27],[28,29],[32,50],[33,51],[34,48],[35,49],[36,55],[37,54],[38,53],[39,52],[40,57],[41,56],[42,58],[43,59],[44,60],[45,61],[46,63],[47,62],[64,82],[65,83],[66,80],[67,81],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,90],[75,91],[76,92],[77,93],[78,95],[79,94]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[32,56,33,57],[34,59,35,58],[36,61,37,60],[38,62,39,63],[40,49,41,48],[42,50,43,51],[44,52,45,53],[46,55,47,54],[64,88,65,89],[66,91,67,90],[68,93,69,92],[70,94,71,95],[72,81,73,80],[74,82,75,83],[76,84,77,85],[78,87,79,86]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d c () b a () bd ac () bc ad () bc acd Design No 5(for Input Group of Order 16 and Index 5) Group Size 16 73943060 9F9DF8E4 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d c () b a () bd ac () bc ad () bc abc Design No 6(for Input Group of Order 16 and Index 5) Group Size 32 0B38FA9A 0A5E3A61 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],[32,48],[33,49],[34,51],[35,50],[36,53],[37,52],[38,54],[39,55],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]], [[0,1],[6,7],[8,11],[9,10],[12,14],[13,15],[18,19],[20,21],[24,26],[25,27],[28,31],[29,30],[32,49],[33,48],[34,50],[35,51],[36,52],[37,53],[38,55],[39,54],[40,59],[41,58],[42,57],[43,56],[44,62],[45,63],[46,60],[47,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]], [[0,2],[1,3],[4,7],[5,6],[8,9],[14,15],[16,19],[17,18],[20,22],[21,23],[26,27],[28,29],[32,50],[33,51],[34,48],[35,49],[36,55],[37,54],[38,53],[39,52],[40,57],[41,56],[42,58],[43,59],[44,60],[45,61],[46,63],[47,62],[64,82],[65,83],[66,80],[67,81],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,90],[75,91],[76,92],[77,93],[78,95],[79,94]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[64,72,66,74,65,73,67,75],[68,76,70,78,69,77,71,79],[80,88,82,90,81,89,83,91],[84,92,86,94,85,93,87,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d c () b a () bd ac () bc abd () bc abc Design No 7(for Input Group of Order 16 and Index 5) Group Size 2097152 4A35AA3B 5CF5A92F 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 [[76,92]], [[72,88]], [[77,93]], [[73,89]], [[69,85]], [[79,95]], [[66,82]], [[78,94]], [[67,83]], [[68,84]], [[70,86]], [[65,81]], [[75,91]], [[71,87]], [[74,90]], [[64,80]], [[2,3],[6,7],[8,15],[9,14],[10,13],[11,12],[18,19],[22,23],[24,31],[25,30],[26,29],[27,28],[32,51],[33,50],[34,49],[35,48],[36,55],[37,54],[38,53],[39,52],[40,61],[41,60],[42,62],[43,63],[44,57],[45,56],[46,58],[47,59],[64,71],[65,70],[66,69],[67,68],[72,73],[76,77],[80,87],[81,86],[82,85],[83,84],[88,89],[92,93]], [[0,1],[4,5],[8,14],[9,15],[10,12],[11,13],[16,17],[20,21],[24,30],[25,31],[26,28],[27,29],[32,50],[33,51],[34,48],[35,49],[36,54],[37,55],[38,52],[39,53],[40,60],[41,61],[42,63],[43,62],[44,56],[45,57],[46,59],[47,58],[64,70],[65,71],[66,68],[67,69],[74,75],[78,79],[80,86],[81,87],[82,84],[83,85],[90,91],[94,95]], [[0,2],[1,3],[4,6],[5,7],[8,12],[9,13],[10,15],[11,14],[16,18],[17,19],[20,22],[21,23],[24,28],[25,29],[26,31],[27,30],[32,48],[33,49],[34,51],[35,50],[36,52],[37,53],[38,55],[39,54],[40,63],[41,62],[42,61],[43,60],[44,59],[45,58],[46,57],[47,56],[64,68],[65,69],[66,71],[67,70],[72,75],[73,74],[76,79],[77,78],[80,84],[81,85],[82,87],[83,86],[88,91],[89,90],[92,95],[93,94]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[64,72,66,74,65,73,67,75],[68,76,70,78,69,77,71,79],[80,88,82,90,81,89,83,91],[84,92,86,94,85,93,87,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^48 {(0)^39 (1)^39 (3)^2 }^32 Initial Blocks, in the group representation: () d b () c a () c ab () bc ad () bc ad Design No 8(for Input Group of Order 16 and Index 5) Group Size 128 EE43FC02 DD893234 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 [[8,12],[9,13],[10,14],[11,15],[24,28],[25,29],[26,30],[27,31],[32,48],[33,49],[34,50],[35,51],[36,52],[37,53],[38,54],[39,55],[40,60],[41,61],[42,62],[43,63],[44,56],[45,57],[46,58],[47,59],[64,80],[65,81],[66,82],[67,83],[68,84],[69,85],[70,86],[71,87],[72,92],[73,93],[74,94],[75,95],[76,88],[77,89],[78,90],[79,91]], [[2,3],[6,7],[8,11],[9,10],[12,15],[13,14],[18,19],[22,23],[24,27],[25,26],[28,31],[29,30],[32,35],[33,34],[36,39],[37,38],[40,41],[44,45],[48,51],[49,50],[52,55],[53,54],[56,57],[60,61],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]], [[2,6],[3,7],[8,9],[10,15],[11,14],[12,13],[18,22],[19,23],[24,25],[26,31],[27,30],[28,29],[32,64],[33,65],[34,70],[35,71],[36,68],[37,69],[38,66],[39,67],[40,89],[41,88],[42,95],[43,94],[44,93],[45,92],[46,91],[47,90],[48,80],[49,81],[50,86],[51,87],[52,84],[53,85],[54,82],[55,83],[56,73],[57,72],[58,79],[59,78],[60,77],[61,76],[62,75],[63,74]], [[0,1],[4,5],[8,10],[9,11],[12,14],[13,15],[16,17],[20,21],[24,26],[25,27],[28,30],[29,31],[32,34],[33,35],[36,38],[37,39],[42,43],[46,47],[48,50],[49,51],[52,54],[53,55],[58,59],[62,63],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]], [[0,2],[1,3],[4,6],[5,7],[10,11],[14,15],[16,18],[17,19],[20,22],[21,23],[26,27],[30,31],[34,35],[38,39],[40,43],[41,42],[44,47],[45,46],[50,51],[54,55],[56,59],[57,58],[60,63],[61,62],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,95],[73,94],[74,93],[75,92],[76,91],[77,90],[78,89],[79,88]], [[0,8],[1,9],[2,11],[3,10],[4,12],[5,13],[6,15],[7,14],[16,24],[17,25],[18,27],[19,26],[20,28],[21,29],[22,31],[23,30],[32,43],[33,42],[34,41],[35,40],[36,47],[37,46],[38,45],[39,44],[48,59],[49,58],[50,57],[51,56],[52,63],[53,62],[54,61],[55,60],[64,95],[65,94],[66,93],[67,92],[68,91],[69,90],[70,89],[71,88],[72,87],[73,86],[74,85],[75,84],[76,83],[77,82],[78,81],[79,80]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c a () c ab () bc ad () bc abd Design No 9(for Input Group of Order 16 and Index 5) Group Size 32 DAA5B773 996EC61D 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],[32,35],[33,34],[36,38],[37,39],[40,41],[46,47],[48,51],[49,50],[52,54],[53,55],[56,57],[62,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]], [[0,1],[6,7],[8,10],[9,11],[12,15],[13,14],[18,19],[20,21],[24,27],[25,26],[28,30],[29,31],[32,34],[33,35],[36,39],[37,38],[42,43],[44,45],[48,50],[49,51],[52,55],[53,54],[58,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]], [[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],[64,66,65,67],[68,70,69,71],[72,74,73,75],[76,78,77,79],[80,82,81,83],[84,86,85,87],[88,90,89,91],[92,94,93,95]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[64,72,66,74,65,73,67,75],[68,76,70,78,69,77,71,79],[80,88,82,90,81,89,83,91],[84,92,86,94,85,93,87,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c a () c abc () bc ad () bc ac Design No 10(for Input Group of Order 16 and Index 5) Group Size 16 244B39BB C154C088 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c a () c abc () bc ad () bc abcd Design No 11(for Input Group of Order 16 and Index 5) Group Size 32 B616E10A C8245FCE 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],[32,35],[33,34],[36,38],[37,39],[40,41],[46,47],[48,51],[49,50],[52,54],[53,55],[56,57],[62,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]], [[0,1],[6,7],[8,10],[9,11],[12,15],[13,14],[18,19],[20,21],[24,27],[25,26],[28,30],[29,31],[32,34],[33,35],[36,39],[37,38],[42,43],[44,45],[48,50],[49,51],[52,55],[53,54],[58,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]], [[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],[64,66,65,67],[68,70,69,71],[72,74,73,75],[76,78,77,79],[80,82,81,83],[84,86,85,87],[88,90,89,91],[92,94,93,95]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[32,43],[33,42],[34,41],[35,40],[36,46],[37,47],[38,44],[39,45],[48,59],[49,58],[50,57],[51,56],[52,62],[53,63],[54,60],[55,61],[64,88],[65,89],[66,91],[67,90],[68,93],[69,92],[70,94],[71,95],[72,80],[73,81],[74,83],[75,82],[76,85],[77,84],[78,86],[79,87]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c a () c abc () bc abd () bc abcd Design No 12(for Input Group of Order 16 and Index 5) Group Size 32 834C5410 C121B97F 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],[8,14],[9,15],[10,12],[11,13],[18,19],[22,23],[24,30],[25,31],[26,28],[27,29],[32,51],[33,50],[34,49],[35,48],[36,55],[37,54],[38,53],[39,52],[40,60],[41,61],[42,63],[43,62],[44,56],[45,57],[46,59],[47,58],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,88],[73,89],[74,91],[75,90],[76,92],[77,93],[78,95],[79,94]], [[0,1],[4,5],[8,15],[9,14],[10,13],[11,12],[16,17],[20,21],[24,31],[25,30],[26,29],[27,28],[32,50],[33,51],[34,48],[35,49],[36,54],[37,55],[38,52],[39,53],[40,61],[41,60],[42,62],[43,63],[44,57],[45,56],[46,58],[47,59],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,89],[73,88],[74,90],[75,91],[76,93],[77,92],[78,94],[79,95]], [[0,2],[1,3],[4,6],[5,7],[8,13],[9,12],[10,14],[11,15],[16,18],[17,19],[20,22],[21,23],[24,29],[25,28],[26,30],[27,31],[32,48],[33,49],[34,51],[35,50],[36,52],[37,53],[38,55],[39,54],[40,62],[41,63],[42,60],[43,61],[44,58],[45,59],[46,56],[47,57],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,90],[73,91],[74,88],[75,89],[76,94],[77,95],[78,92],[79,93]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[64,72,66,74,65,73,67,75],[68,76,70,78,69,77,71,79],[80,88,82,90,81,89,83,91],[84,92,86,94,85,93,87,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c ac () c abc () bc a () bc ad Design No 13(for Input Group of Order 16 and Index 5) Group Size 32 AE8230AC DD07107E 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],[8,10],[9,11],[12,14],[13,15],[18,19],[22,23],[24,26],[25,27],[28,30],[29,31],[32,35],[33,34],[36,39],[37,38],[42,43],[46,47],[48,51],[49,50],[52,55],[53,54],[58,59],[62,63],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]], [[0,1],[4,5],[8,11],[9,10],[12,15],[13,14],[16,17],[20,21],[24,27],[25,26],[28,31],[29,30],[32,34],[33,35],[36,38],[37,39],[40,41],[44,45],[48,50],[49,51],[52,54],[53,55],[56,57],[60,61],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]], [[0,2],[1,3],[4,6],[5,7],[8,9],[12,13],[16,18],[17,19],[20,22],[21,23],[24,25],[28,29],[34,35],[38,39],[40,42],[41,43],[44,46],[45,47],[50,51],[54,55],[56,58],[57,59],[60,62],[61,63],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,94],[73,95],[74,92],[75,93],[76,90],[77,91],[78,88],[79,89]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[64,72,66,74,65,73,67,75],[68,76,70,78,69,77,71,79],[80,88,82,90,81,89,83,91],[84,92,86,94,85,93,87,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c ac () c abc () bc a () bc abd Design No 14(for Input Group of Order 16 and Index 5) Group Size 32 52575E4D 922F4C00 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],[8,14],[9,15],[10,12],[11,13],[18,19],[22,23],[24,30],[25,31],[26,28],[27,29],[32,51],[33,50],[34,49],[35,48],[36,55],[37,54],[38,53],[39,52],[40,60],[41,61],[42,63],[43,62],[44,56],[45,57],[46,59],[47,58],[64,71],[65,70],[66,69],[67,68],[74,75],[78,79],[80,87],[81,86],[82,85],[83,84],[90,91],[94,95]], [[0,1],[4,5],[8,15],[9,14],[10,13],[11,12],[16,17],[20,21],[24,31],[25,30],[26,29],[27,28],[32,50],[33,51],[34,48],[35,49],[36,54],[37,55],[38,52],[39,53],[40,61],[41,60],[42,62],[43,63],[44,57],[45,56],[46,58],[47,59],[64,70],[65,71],[66,68],[67,69],[72,73],[76,77],[80,86],[81,87],[82,84],[83,85],[88,89],[92,93]], [[0,2],[1,3],[4,6],[5,7],[8,13],[9,12],[10,14],[11,15],[16,18],[17,19],[20,22],[21,23],[24,29],[25,28],[26,30],[27,31],[32,48],[33,49],[34,51],[35,50],[36,52],[37,53],[38,55],[39,54],[40,62],[41,63],[42,60],[43,61],[44,58],[45,59],[46,56],[47,57],[64,68],[65,69],[66,71],[67,70],[72,74],[73,75],[76,78],[77,79],[80,84],[81,85],[82,87],[83,86],[88,90],[89,91],[92,94],[93,95]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[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],[64,72,66,74,65,73,67,75],[68,76,70,78,69,77,71,79],[80,88,82,90,81,89,83,91],[84,92,86,94,85,93,87,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c ac () c abc () bc ac () bc acd Design No 15(for Input Group of Order 16 and Index 5) Group Size 12288 48CF51D6 B78CEA52 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 [[3,7],[18,22],[33,65],[35,87],[37,69],[39,83],[42,58],[46,62],[49,81],[51,71],[53,85],[55,67],[74,90],[78,94]], [[8,12],[25,29],[35,51],[39,55],[40,92],[43,75],[44,88],[47,79],[56,76],[59,91],[60,72],[63,95],[67,83],[71,87]], [[11,15],[26,30],[33,49],[37,53],[41,73],[43,95],[45,77],[47,91],[57,89],[59,79],[61,93],[63,75],[65,81],[69,85]], [[9,13],[24,28],[34,50],[38,54],[41,93],[42,74],[45,89],[46,78],[57,77],[58,90],[61,73],[62,94],[66,82],[70,86]], [[10,14],[27,31],[32,48],[36,52],[40,72],[42,94],[44,76],[46,90],[56,88],[58,78],[60,92],[62,74],[64,80],[68,84]], [[2,3],[6,7],[8,10],[9,11],[12,14],[13,15],[18,19],[22,23],[24,26],[25,27],[28,30],[29,31],[32,35],[33,34],[36,39],[37,38],[42,43],[46,47],[48,51],[49,50],[52,55],[53,54],[58,59],[62,63],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]], [[2,8,11],[3,9,10],[6,12,15],[7,13,14],[18,24,27],[19,25,26],[22,28,31],[23,29,30],[32,35,41],[33,34,40],[36,39,45],[37,38,44],[48,87,93],[49,86,92],[50,72,65],[51,73,64],[52,83,89],[53,82,88],[54,76,69],[55,77,68],[56,85,66],[57,84,67],[58,74,94],[59,75,95],[60,81,70],[61,80,71],[62,78,90],[63,79,91]], [[1,5],[16,20],[33,85],[34,66],[37,81],[38,70],[40,56],[44,60],[49,69],[50,82],[53,65],[54,86],[72,88],[76,92]], [[0,1],[4,5],[8,11],[9,10],[12,15],[13,14],[16,17],[20,21],[24,27],[25,26],[28,31],[29,30],[32,34],[33,35],[36,38],[37,39],[40,41],[44,45],[48,50],[49,51],[52,54],[53,55],[56,57],[60,61],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]], [[0,2],[1,3],[4,6],[5,7],[8,9],[12,13],[16,18],[17,19],[20,22],[21,23],[24,25],[28,29],[34,35],[38,39],[40,42],[41,43],[44,46],[45,47],[50,51],[54,55],[56,58],[57,59],[60,62],[61,63],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,94],[73,95],[74,92],[75,93],[76,90],[77,91],[78,88],[79,89]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d b () c ac () c abc () bc ac () bc abc Design No 16(for Input Group of Order 16 and Index 5) Group Size 16 12C5ED3F 950C1E67 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d bc () c a () c abc () b ad () bd ad Design No 17(for Input Group of Order 16 and Index 5) Group Size 32 5D768764 483DA466 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],[18,19],[20,21],[24,27],[25,26],[28,30],[29,31],[32,35],[33,34],[36,38],[37,39],[40,41],[46,47],[48,51],[49,50],[52,54],[53,55],[56,57],[62,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]], [[0,1],[6,7],[8,10],[9,11],[12,15],[13,14],[16,17],[22,23],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[42,43],[44,45],[48,50],[49,51],[52,55],[53,54],[58,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]], [[0,2],[1,3],[4,7],[5,6],[10,11],[12,13],[16,18],[17,19],[20,23],[21,22],[26,27],[28,29],[34,35],[36,37],[40,43],[41,42],[44,46],[45,47],[50,51],[52,53],[56,59],[57,58],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,87],[69,86],[70,85],[71,84],[72,88],[73,89],[74,91],[75,90],[76,93],[77,92],[78,94],[79,95]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]], [[0,8],[1,9],[2,11],[3,10],[4,13],[5,12],[6,14],[7,15],[16,24],[17,25],[18,27],[19,26],[20,29],[21,28],[22,30],[23,31],[32,43],[33,42],[34,41],[35,40],[36,46],[37,47],[38,44],[39,45],[48,59],[49,58],[50,57],[51,56],[52,62],[53,63],[54,60],[55,61],[64,88],[65,89],[66,91],[67,90],[68,93],[69,92],[70,94],[71,95],[72,80],[73,81],[74,83],[75,82],[76,85],[77,84],[78,86],[79,87]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d bc () c a () c abc () b ad () bd ac Design No 18(for Input Group of Order 16 and Index 5) Group Size 96 56314F53 451E3CC8 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],[18,19],[20,21],[24,27],[25,26],[28,30],[29,31],[32,35],[33,34],[36,38],[37,39],[40,41],[46,47],[48,51],[49,50],[52,54],[53,55],[56,57],[62,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]], [[2,14],[3,15],[4,8],[5,9],[10,11],[12,13],[18,30],[19,31],[20,24],[21,25],[26,27],[28,29],[32,68],[33,69],[34,91],[35,90],[36,93],[37,92],[38,66],[39,67],[40,94],[41,95],[42,65],[43,64],[44,70],[45,71],[46,89],[47,88],[50,60],[51,61],[52,59],[53,58],[56,57],[62,63],[72,84],[73,85],[74,75],[76,77],[78,82],[79,83]], [[0,1],[6,7],[8,10],[9,11],[12,15],[13,14],[16,17],[22,23],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[42,43],[44,45],[48,50],[49,51],[52,55],[53,54],[58,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]], [[0,2],[1,3],[4,7],[5,6],[10,11],[12,13],[16,18],[17,19],[20,23],[21,22],[26,27],[28,29],[34,35],[36,37],[40,43],[41,42],[44,46],[45,47],[50,51],[52,53],[56,59],[57,58],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,87],[69,86],[70,85],[71,84],[72,88],[73,89],[74,91],[75,90],[76,93],[77,92],[78,94],[79,95]], [[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],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]] Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d bc () c a () c abc () b ac () bd ad Design No 19(for Input Group of Order 16 and Index 5) Group Size 16 F2C17552 4F9B6763 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c ab () bd a () bc ad Design No 20(for Input Group of Order 16 and Index 5) Group Size 16 21A484D6 BF910015 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c ab () bd a () bc abd Design No 21(for Input Group of Order 16 and Index 5) Group Size 16 6B178F13 31BC8732 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c ab () bd acd () bc ad Design No 22(for Input Group of Order 16 and Index 5) Group Size 16 E55AE103 2F3A2169 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c ab () bd acd () bc abd Design No 23(for Input Group of Order 16 and Index 5) Group Size 16 2270BF51 B612389F Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd a () bc ac Design No 24(for Input Group of Order 16 and Index 5) Group Size 16 6DC5454F E4B9AC44 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd a () bc abcd Design No 25(for Input Group of Order 16 and Index 5) Group Size 16 FB1DA820 2C4E5A5D Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd ad () bc acd Design No 26(for Input Group of Order 16 and Index 5) Group Size 16 2C1EECCF 10093CF4 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd ad () bc abc Design No 27(for Input Group of Order 16 and Index 5) Group Size 16 1D02EFBE E7C413BD Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd ac () bc acd Design No 28(for Input Group of Order 16 and Index 5) Group Size 16 C1814FE7 02A22533 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd ac () bc abc Design No 29(for Input Group of Order 16 and Index 5) Group Size 16 4A7EC447 8D8844AE Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd acd () bc ac Design No 30(for Input Group of Order 16 and Index 5) Group Size 16 38B47101 2192A39A Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c b () c abc () bd acd () bc abcd Design No 31(for Input Group of Order 16 and Index 5) Group Size 16 D70E4CFC DFB14096 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c ab () bd a () bc ad Design No 32(for Input Group of Order 16 and Index 5) Group Size 16 46A56004 12F2A7A7 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c ab () bd a () bc abd Design No 33(for Input Group of Order 16 and Index 5) Group Size 16 B6DAC480 1C07BF79 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c ab () bd acd () bc ad Design No 34(for Input Group of Order 16 and Index 5) Group Size 16 3DFD03C9 2BE1C2EA Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c ab () bd acd () bc abd Design No 35(for Input Group of Order 16 and Index 5) Group Size 16 5D3E6BD9 D9E40620 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd a () bc ac Design No 36(for Input Group of Order 16 and Index 5) Group Size 16 8585223D 28B6686D Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd a () bc abcd Design No 37(for Input Group of Order 16 and Index 5) Group Size 16 E3B08C9A 829CD9BC Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd ad () bc acd Design No 38(for Input Group of Order 16 and Index 5) Group Size 16 3A3EABFE C0D2732F Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd ad () bc abc Design No 39(for Input Group of Order 16 and Index 5) Group Size 16 7976CD62 085F9380 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd ac () bc acd Design No 40(for Input Group of Order 16 and Index 5) Group Size 16 5716D0D9 A387E905 Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd ac () bc abc Design No 41(for Input Group of Order 16 and Index 5) Group Size 16 70FA8AB4 6AC18ECA Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd acd () bc ac Design No 42(for Input Group of Order 16 and Index 5) Group Size 16 752E65E8 765B6C2D Block Intersection Formula {(0)^40 (1)^36 (2)^3 (3)^1 }^80 Initial Blocks, in the group representation: () d a () c bc () c abc () bd acd () bc abcd