Design No 1(for Input Group of Order 16 and Index 10) 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
[[4,5],[6,7],[8,10],[9,11],[12,15],[13,14],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[4,6],[5,7],[12,14],[13,15],[20,22],[21,23],[28,30],[29,31],[32,64],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,72],[41,73],[42,74],[43,75],[44,78],[45,79],[46,76],[47,77],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,88],[57,89],[58,90],[59,91],[60,94],[61,95],[62,92],[63,93]],
[[4,12],[5,13],[6,14],[7,15],[8,11],[9,10],[20,28],[21,29],[22,30],[23,31],[24,27],[25,26],[32,91],[33,90],[34,89],[35,88],[40,49],[41,48],[42,51],[43,50],[44,77],[45,76],[46,79],[47,78],[52,86],[53,87],[54,84],[55,85],[56,67],[57,66],[58,65],[59,64],[60,63],[61,62],[72,81],[73,80],[74,83],[75,82],[92,95],[93,94]],
[[0,1],[2,3],[8,11],[9,10],[12,14],[13,15],[16,17],[18,19],[24,27],[25,26],[28,30],[29,31],[32,49],[33,48],[34,51],[35,50],[36,52],[37,53],[38,54],[39,55],[40,59],[41,58],[42,57],[43,56],[44,62],[45,63],[46,60],[47,61],[64,81],[65,80],[66,83],[67,82],[68,84],[69,85],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,2],[1,3],[8,10],[9,11],[16,18],[17,19],[24,26],[25,27],[32,66],[33,67],[34,64],[35,65],[36,68],[37,69],[38,70],[39,71],[40,74],[41,75],[42,72],[43,73],[44,76],[45,77],[46,78],[47,79],[48,82],[49,83],[50,80],[51,81],[52,84],[53,85],[54,86],[55,87],[56,90],[57,91],[58,88],[59,89],[60,92],[61,93],[62,94],[63,95]],
[[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 c 
() b a 
() bd ac 
() bc a 
() bcd ac 

Design No 2(for Input Group of Order 16 and Index 10) Group Size 32 A46FF07C 2ACE8BF5
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],[8,12],[9,13],[10,15],[11,14],[16,17],[20,21],[24,29],[25,28],[26,30],[27,31],[32,36],[33,37],[34,39],[35,38],[42,43],[46,47],[48,53],[49,52],[50,54],[51,55],[56,57],[60,61],[64,87],[65,86],[66,84],[67,85],[68,83],[69,82],[70,80],[71,81],[72,91],[73,90],[74,88],[75,89],[76,95],[77,94],[78,92],[79,93]],
[[0,1],[4,5],[8,13],[9,12],[10,14],[11,15],[18,19],[22,23],[24,28],[25,29],[26,31],[27,30],[32,37],[33,36],[34,38],[35,39],[40,41],[44,45],[48,52],[49,53],[50,55],[51,54],[58,59],[62,63],[64,86],[65,87],[66,85],[67,84],[68,82],[69,83],[70,81],[71,80],[72,90],[73,91],[74,89],[75,88],[76,94],[77,95],[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],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,24,17,25],[18,26,19,27],[20,28,21,29],[22,30,23,31],[32,40,33,41],[34,42,35,43],[36,44,37,45],[38,46,39,47],[48,56,49,57],[50,58,51,59],[52,60,53,61],[54,62,55,63],[64,72,65,73],[66,74,67,75],[68,76,69,77],[70,78,71,79],[80,88,81,89],[82,90,83,91],[84,92,85,93],[86,94,87,95]]
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 a 
() bcd acd 

Design No 3(for Input Group of Order 16 and Index 10) Group Size 128 E7D9560D 999EC67C
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],[8,10],[9,11],[12,15],[13,14],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[4,6],[5,7],[8,10],[9,11],[20,22],[21,23],[24,26],[25,27],[32,64],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,74],[41,75],[42,72],[43,73],[44,76],[45,77],[46,78],[47,79],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,90],[57,91],[58,88],[59,89],[60,92],[61,93],[62,94],[63,95]],
[[2,3],[6,7],[8,12],[9,13],[10,15],[11,14],[16,17],[20,21],[24,29],[25,28],[26,30],[27,31],[32,36],[33,37],[34,39],[35,38],[42,43],[46,47],[48,53],[49,52],[50,54],[51,55],[56,57],[60,61],[64,87],[65,86],[66,84],[67,85],[68,83],[69,82],[70,80],[71,81],[72,91],[73,90],[74,88],[75,89],[76,95],[77,94],[78,92],[79,93]],
[[0,1],[6,7],[8,14],[9,15],[10,13],[11,12],[18,19],[20,21],[24,31],[25,30],[26,28],[27,29],[32,52],[33,53],[34,55],[35,54],[36,49],[37,48],[38,50],[39,51],[40,59],[41,58],[42,56],[43,57],[44,62],[45,63],[46,61],[47,60],[64,71],[65,70],[66,68],[67,69],[74,75],[76,77],[80,86],[81,87],[82,85],[83,84],[88,89],[94,95]],
[[0,2],[1,3],[12,14],[13,15],[16,18],[17,19],[28,30],[29,31],[32,66],[33,67],[34,64],[35,65],[36,68],[37,69],[38,70],[39,71],[40,72],[41,73],[42,74],[43,75],[44,78],[45,79],[46,76],[47,77],[48,82],[49,83],[50,80],[51,81],[52,84],[53,85],[54,86],[55,87],[56,88],[57,89],[58,90],[59,91],[60,94],[61,95],[62,92],[63,93]],
[[0,4],[1,5],[2,7],[3,6],[10,11],[14,15],[16,21],[17,20],[18,22],[19,23],[24,25],[28,29],[34,35],[38,39],[40,44],[41,45],[42,47],[43,46],[48,49],[52,53],[56,61],[57,60],[58,62],[59,63],[64,83],[65,82],[66,80],[67,81],[68,87],[69,86],[70,84],[71,85],[72,95],[73,94],[74,92],[75,93],[76,91],[77,90],[78,88],[79,89]],
[[0,8,1,9],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,24,17,25],[18,26,19,27],[20,28,21,29],[22,30,23,31],[32,40,33,41],[34,42,35,43],[36,44,37,45],[38,46,39,47],[48,56,49,57],[50,58,51,59],[52,60,53,61],[54,62,55,63],[64,72,65,73],[66,74,67,75],[68,76,69,77],[70,78,71,79],[80,88,81,89],[82,90,83,91],[84,92,85,93],[86,94,87,95]]
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 ac 
() bcd a 

Design No 4(for Input Group of Order 16 and Index 10) Group Size 384 A88C3351 DCBE35FC
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],[8,10],[9,11],[12,15],[13,14],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[4,6],[5,7],[8,11],[9,10],[12,13],[14,15],[20,22],[21,23],[24,27],[25,26],[28,29],[30,31],[32,64],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,75],[41,74],[42,73],[43,72],[44,77],[45,76],[46,79],[47,78],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,91],[57,90],[58,89],[59,88],[60,93],[61,92],[62,95],[63,94]],
[[2,3],[6,7],[8,12],[9,13],[10,15],[11,14],[16,17],[20,21],[24,29],[25,28],[26,30],[27,31],[32,36],[33,37],[34,39],[35,38],[42,43],[46,47],[48,53],[49,52],[50,54],[51,55],[56,57],[60,61],[64,87],[65,86],[66,84],[67,85],[68,83],[69,82],[70,80],[71,81],[72,91],[73,90],[74,88],[75,89],[76,95],[77,94],[78,92],[79,93]],
[[1,2],[4,8],[5,10],[6,9],[7,11],[12,15],[17,18],[20,24],[21,26],[22,25],[23,27],[28,31],[33,34],[36,88],[37,90],[38,89],[39,91],[40,68],[41,70],[42,69],[43,71],[44,63],[45,61],[46,62],[47,60],[49,50],[52,72],[53,74],[54,73],[55,75],[56,84],[57,86],[58,85],[59,87],[64,80],[65,82],[66,81],[67,83],[76,79],[92,95]],
[[0,1],[6,7],[8,14],[9,15],[10,13],[11,12],[18,19],[20,21],[24,31],[25,30],[26,28],[27,29],[32,52],[33,53],[34,55],[35,54],[36,49],[37,48],[38,50],[39,51],[40,59],[41,58],[42,56],[43,57],[44,62],[45,63],[46,61],[47,60],[64,71],[65,70],[66,68],[67,69],[74,75],[76,77],[80,86],[81,87],[82,85],[83,84],[88,89],[94,95]],
[[0,4],[1,5],[2,7],[3,6],[10,11],[14,15],[16,21],[17,20],[18,22],[19,23],[24,25],[28,29],[34,35],[38,39],[40,44],[41,45],[42,47],[43,46],[48,49],[52,53],[56,61],[57,60],[58,62],[59,63],[64,83],[65,82],[66,80],[67,81],[68,87],[69,86],[70,84],[71,85],[72,95],[73,94],[74,92],[75,93],[76,91],[77,90],[78,88],[79,89]]
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 acd 
() bcd ad 

Design No 5(for Input Group of Order 16 and Index 10) Group Size 32 7BBA861F 8C7805B4
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],[8,9],[10,15],[11,14],[12,13],[16,17],[18,23],[19,22],[20,21],[26,30],[27,31],[32,36],[33,37],[40,45],[41,44],[42,43],[46,47],[48,87],[49,86],[50,81],[51,80],[52,83],[53,82],[54,85],[55,84],[56,94],[57,95],[58,88],[59,89],[60,90],[61,91],[62,92],[63,93],[64,69],[65,68],[66,67],[70,71],[72,76],[73,77]],
[[0,1],[2,7],[3,6],[4,5],[10,14],[11,15],[18,22],[19,23],[24,25],[26,31],[27,30],[28,29],[32,37],[33,36],[34,35],[38,39],[40,44],[41,45],[48,86],[49,87],[50,80],[51,81],[52,82],[53,83],[54,84],[55,85],[56,95],[57,94],[58,89],[59,88],[60,91],[61,90],[62,93],[63,92],[64,68],[65,69],[72,77],[73,76],[74,75],[78,79]],
[[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]],
[[0,8,1,9],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,24,17,25],[18,26,19,27],[20,28,21,29],[22,30,23,31],[32,40,33,41],[34,42,35,43],[36,44,37,45],[38,46,39,47],[48,56,49,57],[50,58,51,59],[52,60,53,61],[54,62,55,63],[64,72,65,73],[66,74,67,75],[68,76,69,77],[70,78,71,79],[80,88,81,89],[82,90,83,91],[84,92,85,93],[86,94,87,95]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() cd ab 
() bd ac 
() bcd ac 

Design No 6(for Input Group of Order 16 and Index 10) Group Size 96 77CDEAC9 289ED20B
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
[[2,4,6],[3,5,7],[10,12,14],[11,13,15],[18,20,22],[19,21,23],[26,28,30],[27,29,31],[32,36,34],[33,37,35],[40,44,42],[41,45,43],[48,69,80],[49,68,81],[50,65,86],[51,64,87],[52,67,82],[53,66,83],[54,71,84],[55,70,85],[56,77,88],[57,76,89],[58,73,94],[59,72,95],[60,75,90],[61,74,91],[62,79,92],[63,78,93]],
[[4,6],[5,7],[8,9],[10,11],[12,15],[13,14],[16,17],[18,19],[20,23],[21,22],[28,30],[29,31],[32,34],[33,35],[40,43],[41,42],[44,45],[46,47],[48,51],[49,50],[52,53],[54,55],[56,58],[57,59],[64,80],[65,81],[66,82],[67,83],[68,86],[69,87],[70,84],[71,85],[72,89],[73,88],[74,91],[75,90],[76,95],[77,94],[78,93],[79,92]],
[[0,1],[2,3],[4,7],[5,6],[12,14],[13,15],[20,22],[21,23],[24,25],[26,27],[28,31],[29,30],[32,35],[33,34],[36,37],[38,39],[40,42],[41,43],[48,50],[49,51],[56,59],[57,58],[60,61],[62,63],[64,81],[65,80],[66,83],[67,82],[68,87],[69,86],[70,85],[71,84],[72,88],[73,89],[74,90],[75,91],[76,94],[77,95],[78,92],[79,93]],
[[0,2],[1,3],[8,11],[9,10],[12,13],[14,15],[16,19],[17,18],[20,21],[22,23],[24,26],[25,27],[36,38],[37,39],[40,41],[42,43],[44,47],[45,46],[48,49],[50,51],[52,55],[53,54],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,84],[69,85],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,93],[77,92],[78,95],[79,94]],
[[0,8],[1,9],[2,10],[3,11],[4,14],[5,15],[6,12],[7,13],[16,25],[17,24],[18,27],[19,26],[20,31],[21,30],[22,29],[23,28],[32,42],[33,43],[34,40],[35,41],[36,44],[37,45],[38,46],[39,47],[48,59],[49,58],[50,57],[51,56],[52,61],[53,60],[54,63],[55,62],[64,88],[65,89],[66,90],[67,91],[68,94],[69,95],[70,92],[71,93],[72,80],[73,81],[74,82],[75,83],[76,86],[77,87],[78,84],[79,85]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() cd ab 
() bd acd 
() bcd ac