t designs with small t, id ge 9700

# 9700: 6-(23,12,6300)

clan: 7-(24,12,3150), 1 times residual
residual design of supplementary of 7-(24,12,3038) (# 9691)
residual design of 7-(24,12,3150) (# 9703)

# 9701: 5-(22,12,9548)

clan: 7-(24,12,3038), 2 times residual
residual design of 6-(23,12,6076) (# 9697)
residual design of supplementary of 6-(23,12,6300) (# 9700)

# 9702: 5-(22,12,9900)

clan: 7-(24,12,3150), 2 times residual
residual design of supplementary of 6-(23,12,6076) (# 9697)
residual design of 6-(23,12,6300) (# 9700)

# 9703: 7-(24,12,3150)

clan: 7-(24,12,3150)
Alltop construction for design 6-(23,11,3150) (# 9699)

# 9704: 6-(23,11,3080)

clan: 7-(24,12,3080), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,3080) (# 9708)
derived from supplementary of 7-(24,12,3108) (# 9720)

# 9705: 5-(23,11,9240)

clan: 7-(24,12,3080), 1 times reduced t, 1 times derived
design 6-(23,11,3080) (# 9704) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,3080) (# 9706) : der= 5-(22,10,3080) and res= 5-(22,11,6160) - the given design is the derived.
derived from 6-(24,12,9240) (# 9707)
derived from supplementary of 6-(24,12,9324) (# 9715)
supplementary design of 6-(23,11,3108) (# 9716) with respect to smaller t

# 9706: 5-(22,10,3080)

clan: 7-(24,12,3080), 2 times derived
derived from 6-(23,11,3080) (# 9704)
derived from supplementary of 6-(23,11,3108) (# 9716)

# 9707: 6-(24,12,9240)

clan: 7-(24,12,3080), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,3080) (# 9704)
design 7-(24,12,3080) (# 9708) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,6160) (# 9714) : der= 6-(23,11,3080) and res= 6-(23,12,6160) - the given design is the residual.
supplementary design of 7-(24,12,3108) (# 9720) with respect to smaller t
PGL(2,23) (>=2 isom. types)

# 9708: 7-(24,12,3080)

clan: 7-(24,12,3080)
Alltop construction for design 6-(23,11,3080) (# 9704)

# 9709: 5-(23,11,9324)

clan: 7-(24,12,3108), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,3080) (# 9704) with respect to smaller t
derived from supplementary of 6-(24,12,9240) (# 9707)
Tran van Trung construction (right) for 5-(22,10,3108) (# 9710) : der= 5-(22,10,3108) and res= 5-(22,11,6216) - the given design is the derived.
derived from 6-(24,12,9324) (# 9715)
design 6-(23,11,3108) (# 9716) with respect to smaller t

# 9710: 5-(22,10,3108)

clan: 7-(24,12,3108), 2 times derived
derived from supplementary of 6-(23,11,3080) (# 9704)
derived from 6-(23,11,3108) (# 9716)

# 9711: 5-(23,12,15840)

clan: 7-(24,12,3080), 1 times reduced t, 1 times residual
residual design of 6-(24,12,9240) (# 9707)
design 6-(23,12,6160) (# 9714) with respect to smaller t
residual design of supplementary of 6-(24,12,9324) (# 9715)
supplementary design of 6-(23,12,6216) (# 9717) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,9680) (# 9718) : der= 5-(22,11,6160) and res= 5-(22,12,9680) - the given design is the residual.

# 9712: 5-(24,12,25308)

clan: 7-(24,12,3108), 2 times reduced t
supplementary design of 6-(24,12,9240) (# 9707) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,9324) (# 9709)
Tran van Trung construction (right) for 5-(23,11,9324) (# 9709) : der= 5-(23,11,9324) and res= 5-(23,12,15984) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,15984) (# 9713) : der= 5-(23,11,9324) and res= 5-(23,12,15984) - the given design is the residual.
design 6-(24,12,9324) (# 9715) with respect to smaller t

# 9713: 5-(23,12,15984)

clan: 7-(24,12,3108), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,9240) (# 9707)
supplementary design of 6-(23,12,6160) (# 9714) with respect to smaller t
residual design of 6-(24,12,9324) (# 9715)
design 6-(23,12,6216) (# 9717) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,9768) (# 9719) : der= 5-(22,11,6216) and res= 5-(22,12,9768) - the given design is the residual.

# 9714: 6-(23,12,6160)

clan: 7-(24,12,3080), 1 times residual
residual design of 7-(24,12,3080) (# 9708)
residual design of supplementary of 7-(24,12,3108) (# 9720)

# 9715: 6-(24,12,9324)

clan: 7-(24,12,3108), 1 times reduced t
supplementary design of 7-(24,12,3080) (# 9708) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3108) (# 9716)
Tran van Trung construction (right) for 6-(23,11,3108) (# 9716) : der= 6-(23,11,3108) and res= 6-(23,12,6216) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,6216) (# 9717) : der= 6-(23,11,3108) and res= 6-(23,12,6216) - the given design is the residual.
design 7-(24,12,3108) (# 9720) with respect to smaller t

# 9716: 6-(23,11,3108)

clan: 7-(24,12,3108), 1 times derived
derived from supplementary of 7-(24,12,3080) (# 9708)
derived from 7-(24,12,3108) (# 9720)

# 9717: 6-(23,12,6216)

clan: 7-(24,12,3108), 1 times residual
residual design of supplementary of 7-(24,12,3080) (# 9708)
residual design of 7-(24,12,3108) (# 9720)

# 9718: 5-(22,12,9680)

clan: 7-(24,12,3080), 2 times residual
residual design of 6-(23,12,6160) (# 9714)
residual design of supplementary of 6-(23,12,6216) (# 9717)

# 9719: 5-(22,12,9768)

clan: 7-(24,12,3108), 2 times residual
residual design of supplementary of 6-(23,12,6160) (# 9714)
residual design of 6-(23,12,6216) (# 9717)

# 9720: 7-(24,12,3108)

clan: 7-(24,12,3108)
Alltop construction for design 6-(23,11,3108) (# 9716)

# 9721: 6-(23,11,770)

clan: 7-(24,12,770), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+ $ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,770) (# 9723)
derived from supplementary of 7-(24,12,5418) (# 9736)

# 9722: 6-(24,12,2310)

clan: 7-(24,12,770), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,770) (# 9721)
Tran van Trung construction (right) for 6-(23,11,770) (# 9721) : der= 6-(23,11,770) and res= 6-(23,12,1540) - the given design is the derived.
design 7-(24,12,770) (# 9723) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,1540) (# 9724) : der= 6-(23,11,770) and res= 6-(23,12,1540) - the given design is the residual.
supplementary design of 7-(24,12,5418) (# 9736) with respect to smaller t

# 9723: 7-(24,12,770)

clan: 7-(24,12,770)
Alltop construction for design 6-(23,11,770) (# 9721)

# 9724: 6-(23,12,1540)

clan: 7-(24,12,770), 1 times residual
complementary design of 6-(23,11,770) (# 9721)
residual design of 7-(24,12,770) (# 9723)
residual design of supplementary of 7-(24,12,5418) (# 9736)

# 9725: 5-(23,11,16254)

clan: 7-(24,12,5418), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,770) (# 9721) with respect to smaller t
derived from supplementary of 6-(24,12,2310) (# 9722)
Tran van Trung construction (right) for 5-(22,10,5418) (# 9726) : der= 5-(22,10,5418) and res= 5-(22,11,10836) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,10836) (# 9727) : der= 5-(22,10,5418) and res= 5-(22,11,10836) - the given design is the residual.
derived from 6-(24,12,16254) (# 9731)
design 6-(23,11,5418) (# 9732) with respect to smaller t

# 9726: 5-(22,10,5418)

clan: 7-(24,12,5418), 2 times derived
derived from supplementary of 6-(23,11,770) (# 9721)
derived from 6-(23,11,5418) (# 9732)

# 9727: 5-(22,11,10836)

clan: 7-(24,12,5418), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,770) (# 9721)
derived from supplementary of 6-(23,12,1540) (# 9724)
residual design of 6-(23,11,5418) (# 9732)
derived from 6-(23,12,10836) (# 9733)

# 9728: 5-(23,12,3960)

clan: 7-(24,12,770), 1 times reduced t, 1 times residual
residual design of 6-(24,12,2310) (# 9722)
design 6-(23,12,1540) (# 9724) with respect to smaller t
residual design of supplementary of 6-(24,12,16254) (# 9731)
supplementary design of 6-(23,12,10836) (# 9733) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,2420) (# 9734) : der= 5-(22,11,1540) and res= 5-(22,12,2420) - the given design is the residual.

# 9729: 5-(24,12,44118)

clan: 7-(24,12,5418), 2 times reduced t
supplementary design of 6-(24,12,2310) (# 9722) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,16254) (# 9725)
Tran van Trung construction (right) for 5-(23,11,16254) (# 9725) : der= 5-(23,11,16254) and res= 5-(23,12,27864) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,27864) (# 9730) : der= 5-(23,11,16254) and res= 5-(23,12,27864) - the given design is the residual.
design 6-(24,12,16254) (# 9731) with respect to smaller t

# 9730: 5-(23,12,27864)

clan: 7-(24,12,5418), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,2310) (# 9722)
supplementary design of 6-(23,12,1540) (# 9724) with respect to smaller t
Tran van Trung construction (right) for 5-(22,11,10836) (# 9727) : der= 5-(22,11,10836) and res= 5-(22,12,17028) - the given design is the derived.
residual design of 6-(24,12,16254) (# 9731)
design 6-(23,12,10836) (# 9733) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,17028) (# 9735) : der= 5-(22,11,10836) and res= 5-(22,12,17028) - the given design is the residual.

# 9731: 6-(24,12,16254)

clan: 7-(24,12,5418), 1 times reduced t
supplementary design of 7-(24,12,770) (# 9723) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,5418) (# 9732)
Tran van Trung construction (right) for 6-(23,11,5418) (# 9732) : der= 6-(23,11,5418) and res= 6-(23,12,10836) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,10836) (# 9733) : der= 6-(23,11,5418) and res= 6-(23,12,10836) - the given design is the residual.
design 7-(24,12,5418) (# 9736) with respect to smaller t

# 9732: 6-(23,11,5418)

clan: 7-(24,12,5418), 1 times derived
derived from supplementary of 7-(24,12,770) (# 9723)
derived from 7-(24,12,5418) (# 9736)

# 9733: 6-(23,12,10836)

clan: 7-(24,12,5418), 1 times residual
residual design of supplementary of 7-(24,12,770) (# 9723)
residual design of 7-(24,12,5418) (# 9736)

# 9734: 5-(22,12,2420)

clan: 7-(24,12,770), 2 times residual
residual design of 6-(23,12,1540) (# 9724)
residual design of supplementary of 6-(23,12,10836) (# 9733)

# 9735: 5-(22,12,17028)

clan: 7-(24,12,5418), 2 times residual
residual design of supplementary of 6-(23,12,1540) (# 9724)
residual design of 6-(23,12,10836) (# 9733)

# 9736: 7-(24,12,5418)

clan: 7-(24,12,5418)
Alltop construction for design 6-(23,11,5418) (# 9732)

# 9737: 6-(23,11,882)

clan: 7-(24,12,882), 1 times derived
${\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+ $% -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,882) (# 9739)
derived from supplementary of 7-(24,12,5306) (# 9752)

# 9738: 6-(24,12,2646)

clan: 7-(24,12,882), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,882) (# 9737)
Tran van Trung construction (right) for 6-(23,11,882) (# 9737) : der= 6-(23,11,882) and res= 6-(23,12,1764) - the given design is the derived.
design 7-(24,12,882) (# 9739) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,1764) (# 9740) : der= 6-(23,11,882) and res= 6-(23,12,1764) - the given design is the residual.
supplementary design of 7-(24,12,5306) (# 9752) with respect to smaller t

# 9739: 7-(24,12,882)

clan: 7-(24,12,882)
Alltop construction for design 6-(23,11,882) (# 9737)

# 9740: 6-(23,12,1764)

clan: 7-(24,12,882), 1 times residual
complementary design of 6-(23,11,882) (# 9737)
residual design of 7-(24,12,882) (# 9739)
residual design of supplementary of 7-(24,12,5306) (# 9752)

# 9741: 5-(23,11,15918)

clan: 7-(24,12,5306), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,882) (# 9737) with respect to smaller t
derived from supplementary of 6-(24,12,2646) (# 9738)
Tran van Trung construction (right) for 5-(22,10,5306) (# 9742) : der= 5-(22,10,5306) and res= 5-(22,11,10612) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,10612) (# 9743) : der= 5-(22,10,5306) and res= 5-(22,11,10612) - the given design is the residual.
derived from 6-(24,12,15918) (# 9747)
design 6-(23,11,5306) (# 9748) with respect to smaller t

# 9742: 5-(22,10,5306)

clan: 7-(24,12,5306), 2 times derived
derived from supplementary of 6-(23,11,882) (# 9737)
derived from 6-(23,11,5306) (# 9748)

# 9743: 5-(22,11,10612)

clan: 7-(24,12,5306), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,882) (# 9737)
derived from supplementary of 6-(23,12,1764) (# 9740)
residual design of 6-(23,11,5306) (# 9748)
derived from 6-(23,12,10612) (# 9749)

# 9744: 5-(23,12,4536)

clan: 7-(24,12,882), 1 times reduced t, 1 times residual
residual design of 6-(24,12,2646) (# 9738)
design 6-(23,12,1764) (# 9740) with respect to smaller t
residual design of supplementary of 6-(24,12,15918) (# 9747)
supplementary design of 6-(23,12,10612) (# 9749) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,2772) (# 9750) : der= 5-(22,11,1764) and res= 5-(22,12,2772) - the given design is the residual.

# 9745: 5-(24,12,43206)

clan: 7-(24,12,5306), 2 times reduced t
supplementary design of 6-(24,12,2646) (# 9738) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,15918) (# 9741)
Tran van Trung construction (right) for 5-(23,11,15918) (# 9741) : der= 5-(23,11,15918) and res= 5-(23,12,27288) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,27288) (# 9746) : der= 5-(23,11,15918) and res= 5-(23,12,27288) - the given design is the residual.
design 6-(24,12,15918) (# 9747) with respect to smaller t

# 9746: 5-(23,12,27288)

clan: 7-(24,12,5306), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,2646) (# 9738)
supplementary design of 6-(23,12,1764) (# 9740) with respect to smaller t
Tran van Trung construction (right) for 5-(22,11,10612) (# 9743) : der= 5-(22,11,10612) and res= 5-(22,12,16676) - the given design is the derived.
residual design of 6-(24,12,15918) (# 9747)
design 6-(23,12,10612) (# 9749) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,16676) (# 9751) : der= 5-(22,11,10612) and res= 5-(22,12,16676) - the given design is the residual.

# 9747: 6-(24,12,15918)

clan: 7-(24,12,5306), 1 times reduced t
supplementary design of 7-(24,12,882) (# 9739) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,5306) (# 9748)
Tran van Trung construction (right) for 6-(23,11,5306) (# 9748) : der= 6-(23,11,5306) and res= 6-(23,12,10612) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,10612) (# 9749) : der= 6-(23,11,5306) and res= 6-(23,12,10612) - the given design is the residual.
design 7-(24,12,5306) (# 9752) with respect to smaller t

# 9748: 6-(23,11,5306)

clan: 7-(24,12,5306), 1 times derived
derived from supplementary of 7-(24,12,882) (# 9739)
derived from 7-(24,12,5306) (# 9752)

# 9749: 6-(23,12,10612)

clan: 7-(24,12,5306), 1 times residual
residual design of supplementary of 7-(24,12,882) (# 9739)
residual design of 7-(24,12,5306) (# 9752)

# 9750: 5-(22,12,2772)

clan: 7-(24,12,882), 2 times residual
residual design of 6-(23,12,1764) (# 9740)
residual design of supplementary of 6-(23,12,10612) (# 9749)

# 9751: 5-(22,12,16676)

clan: 7-(24,12,5306), 2 times residual
residual design of supplementary of 6-(23,12,1764) (# 9740)
residual design of 6-(23,12,10612) (# 9749)

# 9752: 7-(24,12,5306)

clan: 7-(24,12,5306)
Alltop construction for design 6-(23,11,5306) (# 9748)

# 9753: 6-(23,11,896)

clan: 7-(24,12,896), 1 times derived
$ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+ $ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,896) (# 9755)
derived from supplementary of 7-(24,12,5292) (# 9768)

# 9754: 6-(24,12,2688)

clan: 7-(24,12,896), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,896) (# 9753)
Tran van Trung construction (right) for 6-(23,11,896) (# 9753) : der= 6-(23,11,896) and res= 6-(23,12,1792) - the given design is the derived.
design 7-(24,12,896) (# 9755) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,1792) (# 9756) : der= 6-(23,11,896) and res= 6-(23,12,1792) - the given design is the residual.
supplementary design of 7-(24,12,5292) (# 9768) with respect to smaller t

# 9755: 7-(24,12,896)

clan: 7-(24,12,896)
Alltop construction for design 6-(23,11,896) (# 9753)

# 9756: 6-(23,12,1792)

clan: 7-(24,12,896), 1 times residual
complementary design of 6-(23,11,896) (# 9753)
residual design of 7-(24,12,896) (# 9755)
residual design of supplementary of 7-(24,12,5292) (# 9768)

# 9757: 5-(23,11,15876)

clan: 7-(24,12,5292), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,896) (# 9753) with respect to smaller t
derived from supplementary of 6-(24,12,2688) (# 9754)
Tran van Trung construction (right) for 5-(22,10,5292) (# 9758) : der= 5-(22,10,5292) and res= 5-(22,11,10584) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,10584) (# 9759) : der= 5-(22,10,5292) and res= 5-(22,11,10584) - the given design is the residual.
derived from 6-(24,12,15876) (# 9763)
design 6-(23,11,5292) (# 9764) with respect to smaller t

# 9758: 5-(22,10,5292)

clan: 7-(24,12,5292), 2 times derived
derived from supplementary of 6-(23,11,896) (# 9753)
derived from 6-(23,11,5292) (# 9764)

# 9759: 5-(22,11,10584)

clan: 7-(24,12,5292), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,896) (# 9753)
derived from supplementary of 6-(23,12,1792) (# 9756)
residual design of 6-(23,11,5292) (# 9764)
derived from 6-(23,12,10584) (# 9765)

# 9760: 5-(23,12,4608)

clan: 7-(24,12,896), 1 times reduced t, 1 times residual
residual design of 6-(24,12,2688) (# 9754)
design 6-(23,12,1792) (# 9756) with respect to smaller t
residual design of supplementary of 6-(24,12,15876) (# 9763)
supplementary design of 6-(23,12,10584) (# 9765) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,2816) (# 9766) : der= 5-(22,11,1792) and res= 5-(22,12,2816) - the given design is the residual.

# 9761: 5-(24,12,43092)

clan: 7-(24,12,5292), 2 times reduced t
supplementary design of 6-(24,12,2688) (# 9754) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,15876) (# 9757)
Tran van Trung construction (right) for 5-(23,11,15876) (# 9757) : der= 5-(23,11,15876) and res= 5-(23,12,27216) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,27216) (# 9762) : der= 5-(23,11,15876) and res= 5-(23,12,27216) - the given design is the residual.
design 6-(24,12,15876) (# 9763) with respect to smaller t

# 9762: 5-(23,12,27216)

clan: 7-(24,12,5292), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,2688) (# 9754)
supplementary design of 6-(23,12,1792) (# 9756) with respect to smaller t
Tran van Trung construction (right) for 5-(22,11,10584) (# 9759) : der= 5-(22,11,10584) and res= 5-(22,12,16632) - the given design is the derived.
residual design of 6-(24,12,15876) (# 9763)
design 6-(23,12,10584) (# 9765) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,16632) (# 9767) : der= 5-(22,11,10584) and res= 5-(22,12,16632) - the given design is the residual.

# 9763: 6-(24,12,15876)

clan: 7-(24,12,5292), 1 times reduced t
supplementary design of 7-(24,12,896) (# 9755) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,5292) (# 9764)
Tran van Trung construction (right) for 6-(23,11,5292) (# 9764) : der= 6-(23,11,5292) and res= 6-(23,12,10584) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,10584) (# 9765) : der= 6-(23,11,5292) and res= 6-(23,12,10584) - the given design is the residual.
design 7-(24,12,5292) (# 9768) with respect to smaller t

# 9764: 6-(23,11,5292)

clan: 7-(24,12,5292), 1 times derived
derived from supplementary of 7-(24,12,896) (# 9755)
derived from 7-(24,12,5292) (# 9768)

# 9765: 6-(23,12,10584)

clan: 7-(24,12,5292), 1 times residual
residual design of supplementary of 7-(24,12,896) (# 9755)
residual design of 7-(24,12,5292) (# 9768)

# 9766: 5-(22,12,2816)

clan: 7-(24,12,896), 2 times residual
residual design of 6-(23,12,1792) (# 9756)
residual design of supplementary of 6-(23,12,10584) (# 9765)

# 9767: 5-(22,12,16632)

clan: 7-(24,12,5292), 2 times residual
residual design of supplementary of 6-(23,12,1792) (# 9756)
residual design of 6-(23,12,10584) (# 9765)

# 9768: 7-(24,12,5292)

clan: 7-(24,12,5292)
Alltop construction for design 6-(23,11,5292) (# 9764)

# 9769: 6-(23,11,938)

clan: 7-(24,12,938), 1 times derived
${\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+ $ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
derived from 7-(24,12,938) (# 9771)
derived from supplementary of 7-(24,12,5250) (# 9784)

# 9770: 6-(24,12,2814)

clan: 7-(24,12,938), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,938) (# 9769)
Tran van Trung construction (right) for 6-(23,11,938) (# 9769) : der= 6-(23,11,938) and res= 6-(23,12,1876) - the given design is the derived.
design 7-(24,12,938) (# 9771) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,1876) (# 9772) : der= 6-(23,11,938) and res= 6-(23,12,1876) - the given design is the residual.
supplementary design of 7-(24,12,5250) (# 9784) with respect to smaller t

# 9771: 7-(24,12,938)

clan: 7-(24,12,938)
Alltop construction for design 6-(23,11,938) (# 9769)

# 9772: 6-(23,12,1876)

clan: 7-(24,12,938), 1 times residual
complementary design of 6-(23,11,938) (# 9769)
residual design of 7-(24,12,938) (# 9771)
residual design of supplementary of 7-(24,12,5250) (# 9784)

# 9773: 5-(23,11,15750)

clan: 7-(24,12,5250), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,938) (# 9769) with respect to smaller t
derived from supplementary of 6-(24,12,2814) (# 9770)
Tran van Trung construction (right) for 5-(22,10,5250) (# 9774) : der= 5-(22,10,5250) and res= 5-(22,11,10500) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,10500) (# 9775) : der= 5-(22,10,5250) and res= 5-(22,11,10500) - the given design is the residual.
derived from 6-(24,12,15750) (# 9779)
design 6-(23,11,5250) (# 9780) with respect to smaller t

# 9774: 5-(22,10,5250)

clan: 7-(24,12,5250), 2 times derived
derived from supplementary of 6-(23,11,938) (# 9769)
derived from 6-(23,11,5250) (# 9780)

# 9775: 5-(22,11,10500)

clan: 7-(24,12,5250), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,938) (# 9769)
derived from supplementary of 6-(23,12,1876) (# 9772)
residual design of 6-(23,11,5250) (# 9780)
derived from 6-(23,12,10500) (# 9781)

# 9776: 5-(23,12,4824)

clan: 7-(24,12,938), 1 times reduced t, 1 times residual
residual design of 6-(24,12,2814) (# 9770)
design 6-(23,12,1876) (# 9772) with respect to smaller t
residual design of supplementary of 6-(24,12,15750) (# 9779)
supplementary design of 6-(23,12,10500) (# 9781) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,2948) (# 9782) : der= 5-(22,11,1876) and res= 5-(22,12,2948) - the given design is the residual.

# 9777: 5-(24,12,42750)

clan: 7-(24,12,5250), 2 times reduced t
supplementary design of 6-(24,12,2814) (# 9770) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,15750) (# 9773)
Tran van Trung construction (right) for 5-(23,11,15750) (# 9773) : der= 5-(23,11,15750) and res= 5-(23,12,27000) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,27000) (# 9778) : der= 5-(23,11,15750) and res= 5-(23,12,27000) - the given design is the residual.
design 6-(24,12,15750) (# 9779) with respect to smaller t

# 9778: 5-(23,12,27000)

clan: 7-(24,12,5250), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,2814) (# 9770)
supplementary design of 6-(23,12,1876) (# 9772) with respect to smaller t
Tran van Trung construction (right) for 5-(22,11,10500) (# 9775) : der= 5-(22,11,10500) and res= 5-(22,12,16500) - the given design is the derived.
residual design of 6-(24,12,15750) (# 9779)
design 6-(23,12,10500) (# 9781) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,16500) (# 9783) : der= 5-(22,11,10500) and res= 5-(22,12,16500) - the given design is the residual.

# 9779: 6-(24,12,15750)

clan: 7-(24,12,5250), 1 times reduced t
supplementary design of 7-(24,12,938) (# 9771) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,5250) (# 9780)
Tran van Trung construction (right) for 6-(23,11,5250) (# 9780) : der= 6-(23,11,5250) and res= 6-(23,12,10500) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,10500) (# 9781) : der= 6-(23,11,5250) and res= 6-(23,12,10500) - the given design is the residual.
design 7-(24,12,5250) (# 9784) with respect to smaller t

# 9780: 6-(23,11,5250)

clan: 7-(24,12,5250), 1 times derived
derived from supplementary of 7-(24,12,938) (# 9771)
derived from 7-(24,12,5250) (# 9784)

# 9781: 6-(23,12,10500)

clan: 7-(24,12,5250), 1 times residual
residual design of supplementary of 7-(24,12,938) (# 9771)
residual design of 7-(24,12,5250) (# 9784)

# 9782: 5-(22,12,2948)

clan: 7-(24,12,938), 2 times residual
residual design of 6-(23,12,1876) (# 9772)
residual design of supplementary of 6-(23,12,10500) (# 9781)

# 9783: 5-(22,12,16500)

clan: 7-(24,12,5250), 2 times residual
residual design of supplementary of 6-(23,12,1876) (# 9772)
residual design of 6-(23,12,10500) (# 9781)

# 9784: 7-(24,12,5250)

clan: 7-(24,12,5250)
Alltop construction for design 6-(23,11,5250) (# 9780)

# 9785: 6-(24,10,1530)

clan: 14-(30,15,8), 2 times reduced t, 5 times derived, 1 times residual
PSL(2,23) (>=1 isom. types) Halving of the complete design
design 7-(24,10,340) (# 13208) with respect to smaller t
supplementary design of 7-(24,10,340) (# 13208) with respect to smaller t
Tran van Trung construction (left) for 6-(23,10,1190) (# 13209) : der= 6-(23,9,340) and res= 6-(23,10,1190) - the given design is the residual.

# 9786: 6-(25,10,1938)

clan: 14-(30,15,8), 3 times reduced t, 5 times derived
Tran van Trung construction (left) for 6-(24,10,1530) (# 9785) : der= 6-(24,9,408) and res= 6-(24,10,1530) - the given design is the residual.

# 9787: 6-(24,11,2772)

clan: 13-(30,15,44), 1 times reduced t, 4 times derived, 2 times residual
PSL(2,23) (>=1 isom. types)
residual design of 7-(25,11,990) (# 13505)

# 9788: 5-(23,10,2772)

clan: 13-(30,15,44), 1 times reduced t, 5 times derived, 2 times residual
derived from 6-(24,11,2772) (# 9787)
residual design of 6-(24,10,990) (# 13507)
residual design of supplementary of 6-(24,10,2070) (# 13509)
derived from supplementary of 6-(24,11,5796) (# 13510)

# 9789: 5-(23,11,6006)

clan: 13-(30,15,44), 1 times reduced t, 4 times derived, 3 times residual
residual design of 6-(24,11,2772) (# 9787)
residual design of supplementary of 6-(24,11,5796) (# 13510)

# 9790: 5-(24,11,18354)

clan: 13-(30,15,92), 2 times reduced t, 4 times derived, 2 times residual
supplementary design of 6-(24,11,2772) (# 9787) with respect to smaller t
Tran van Trung construction (right) for 5-(23,10,5796) (# 9791) : der= 5-(23,10,5796) and res= 5-(23,11,12558) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,11,12558) (# 9792) : der= 5-(23,10,5796) and res= 5-(23,11,12558) - the given design is the residual.
derived from supplementary of 6-(25,12,8778) (# 9936)
derived from 6-(25,12,18354) (# 9943)
residual design of supplementary of 6-(25,11,3762) (# 13506)
residual design of 6-(25,11,7866) (# 13508)
design 6-(24,11,5796) (# 13510) with respect to smaller t

# 9791: 5-(23,10,5796)

clan: 13-(30,15,92), 1 times reduced t, 5 times derived, 2 times residual
derived from supplementary of 6-(24,11,2772) (# 9787)
residual design of supplementary of 6-(24,10,990) (# 13507)
residual design of 6-(24,10,2070) (# 13509)
derived from 6-(24,11,5796) (# 13510)

# 9792: 5-(23,11,12558)

clan: 13-(30,15,92), 1 times reduced t, 4 times derived, 3 times residual
residual design of supplementary of 6-(24,11,2772) (# 9787)
residual design of 6-(24,11,5796) (# 13510)

# 9793: 5-(24,12,34086)

clan: 13-(30,15,92), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(23,11,12558) (# 9792)
residual design of supplementary of 6-(25,12,8778) (# 9936)
derived from supplementary of 6-(25,13,16302) (# 9941)
residual design of 6-(25,12,18354) (# 9943)
derived from 6-(25,13,34086) (# 9944)

# 9794: 5-(25,12,52440)

clan: 13-(30,15,92), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,34086) (# 9793) : der= 5-(24,11,18354) and res= 5-(24,12,34086) - the given design is the residual.
supplementary design of 6-(25,12,8778) (# 9936) with respect to smaller t
derived from supplementary of 6-(26,13,25080) (# 9937)
derived from 6-(26,13,52440) (# 9942)
design 6-(25,12,18354) (# 9943) with respect to smaller t
residual design of supplementary of 6-(26,12,12540) (# 13513)
residual design of 6-(26,12,26220) (# 13515)

# 9795: 5-(26,13,137655)

clan: 13-(30,15,92), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,52440) (# 9794)
supplementary design of 6-(26,13,25080) (# 9937) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,85215) (# 9940) : der= 5-(25,12,52440) and res= 5-(25,13,85215) - the given design is the residual.
design 6-(26,13,52440) (# 9942) with respect to smaller t
residual design of supplementary of 6-(27,13,37620) (# 13517)
residual design of 6-(27,13,78660) (# 13518)
derived from supplementary of 6-(27,14,65835) (# 13527)
derived from 6-(27,14,137655) (# 13528)

# 9796: 6-(24,12,6510)

clan: 7-(24,12,2170), 1 times reduced t
PSL(2,23) (>=2 isom. types)

# 9797: 5-(23,11,6510)

clan: 7-(24,12,2170), 1 times reduced t, 1 times derived
derived from 6-(24,12,6510) (# 9796)

# 9798: 5-(23,12,11160)

clan: 7-(24,12,2170), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6510) (# 9796)

# 9799: 5-(24,12,32718)

clan: 7-(24,12,4018), 2 times reduced t
supplementary design of 6-(24,12,6510) (# 9796) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12054) (# 9800)
Tran van Trung construction (right) for 5-(23,11,12054) (# 9800) : der= 5-(23,11,12054) and res= 5-(23,12,20664) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20664) (# 9801) : der= 5-(23,11,12054) and res= 5-(23,12,20664) - the given design is the residual.

created: Fri Oct 23 11:12:17 CEST 2009