t designs with small t, id ge 8900

• clan: 7-(24,12,1218), 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+
• derived from 7-(24,12,1218) (# 8904)
• derived from supplementary of 7-(24,12,4970) (# 8917)

# 8901: 5-(23,11,3654)

• clan: 7-(24,12,1218), 1 times reduced t, 1 times derived
• design 6-(23,11,1218) (# 8900) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,1218) (# 8902) : der= 5-(22,10,1218) and res= 5-(22,11,2436) - the given design is the derived.
• derived from 6-(24,12,3654) (# 8903)
• derived from supplementary of 6-(24,12,14910) (# 8912)
• supplementary design of 6-(23,11,4970) (# 8913) with respect to smaller t

# 8902: 5-(22,10,1218)

• clan: 7-(24,12,1218), 2 times derived
• derived from 6-(23,11,1218) (# 8900)
• derived from supplementary of 6-(23,11,4970) (# 8913)

# 8903: 6-(24,12,3654)

• clan: 7-(24,12,1218), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1218) (# 8900)
• design 7-(24,12,1218) (# 8904) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2436) (# 8911) : der= 6-(23,11,1218) and res= 6-(23,12,2436) - the given design is the residual.
• supplementary design of 7-(24,12,4970) (# 8917) with respect to smaller t

# 8904: 7-(24,12,1218)

• clan: 7-(24,12,1218)
• Alltop construction for design 6-(23,11,1218) (# 8900)

# 8905: 5-(23,11,14910)

• clan: 7-(24,12,4970), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1218) (# 8900) with respect to smaller t
• derived from supplementary of 6-(24,12,3654) (# 8903)
• Tran van Trung construction (right) for 5-(22,10,4970) (# 8906) : der= 5-(22,10,4970) and res= 5-(22,11,9940) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,9940) (# 8907) : der= 5-(22,10,4970) and res= 5-(22,11,9940) - the given design is the residual.
• derived from 6-(24,12,14910) (# 8912)
• design 6-(23,11,4970) (# 8913) with respect to smaller t

# 8906: 5-(22,10,4970)

• clan: 7-(24,12,4970), 2 times derived
• derived from supplementary of 6-(23,11,1218) (# 8900)
• derived from 6-(23,11,4970) (# 8913)

# 8907: 5-(22,11,9940)

• clan: 7-(24,12,4970), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1218) (# 8900)
• derived from supplementary of 6-(23,12,2436) (# 8911)
• residual design of 6-(23,11,4970) (# 8913)
• derived from 6-(23,12,9940) (# 8914)

# 8908: 5-(23,12,6264)

• clan: 7-(24,12,1218), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,3654) (# 8903)
• design 6-(23,12,2436) (# 8911) with respect to smaller t
• residual design of supplementary of 6-(24,12,14910) (# 8912)
• supplementary design of 6-(23,12,9940) (# 8914) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3828) (# 8915) : der= 5-(22,11,2436) and res= 5-(22,12,3828) - the given design is the residual.

# 8909: 5-(24,12,40470)

• clan: 7-(24,12,4970), 2 times reduced t
• supplementary design of 6-(24,12,3654) (# 8903) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,14910) (# 8905)
• Tran van Trung construction (right) for 5-(23,11,14910) (# 8905) : der= 5-(23,11,14910) and res= 5-(23,12,25560) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,25560) (# 8910) : der= 5-(23,11,14910) and res= 5-(23,12,25560) - the given design is the residual.
• design 6-(24,12,14910) (# 8912) with respect to smaller t

# 8910: 5-(23,12,25560)

• clan: 7-(24,12,4970), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3654) (# 8903)
• supplementary design of 6-(23,12,2436) (# 8911) with respect to smaller t
• residual design of 6-(24,12,14910) (# 8912)
• design 6-(23,12,9940) (# 8914) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15620) (# 8916) : der= 5-(22,11,9940) and res= 5-(22,12,15620) - the given design is the residual.

# 8911: 6-(23,12,2436)

• clan: 7-(24,12,1218), 1 times residual
• residual design of 7-(24,12,1218) (# 8904)
• residual design of supplementary of 7-(24,12,4970) (# 8917)

# 8912: 6-(24,12,14910)

• clan: 7-(24,12,4970), 1 times reduced t
• supplementary design of 7-(24,12,1218) (# 8904) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4970) (# 8913)
• Tran van Trung construction (right) for 6-(23,11,4970) (# 8913) : der= 6-(23,11,4970) and res= 6-(23,12,9940) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9940) (# 8914) : der= 6-(23,11,4970) and res= 6-(23,12,9940) - the given design is the residual.
• design 7-(24,12,4970) (# 8917) with respect to smaller t

# 8913: 6-(23,11,4970)

• clan: 7-(24,12,4970), 1 times derived
• derived from supplementary of 7-(24,12,1218) (# 8904)
• derived from 7-(24,12,4970) (# 8917)

# 8914: 6-(23,12,9940)

• clan: 7-(24,12,4970), 1 times residual
• residual design of supplementary of 7-(24,12,1218) (# 8904)
• residual design of 7-(24,12,4970) (# 8917)

# 8915: 5-(22,12,3828)

• clan: 7-(24,12,1218), 2 times residual
• residual design of 6-(23,12,2436) (# 8911)
• residual design of supplementary of 6-(23,12,9940) (# 8914)

# 8916: 5-(22,12,15620)

• clan: 7-(24,12,4970), 2 times residual
• residual design of supplementary of 6-(23,12,2436) (# 8911)
• residual design of 6-(23,12,9940) (# 8914)

# 8917: 7-(24,12,4970)

• clan: 7-(24,12,4970)
• Alltop construction for design 6-(23,11,4970) (# 8913)

# 8918: 6-(23,11,1260)

• clan: 7-(24,12,1260), 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+
• derived from 7-(24,12,1260) (# 8920)
• derived from supplementary of 7-(24,12,4928) (# 8933)
• $ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 8919: 6-(24,12,3780)

• clan: 7-(24,12,1260), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1260) (# 8918)
• design 7-(24,12,1260) (# 8920) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2520) (# 8927) : der= 6-(23,11,1260) and res= 6-(23,12,2520) - the given design is the residual.
• supplementary design of 7-(24,12,4928) (# 8933) with respect to smaller t

# 8920: 7-(24,12,1260)

• clan: 7-(24,12,1260)
• Alltop construction for design 6-(23,11,1260) (# 8918)

# 8921: 5-(23,11,14784)

• clan: 7-(24,12,4928), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1260) (# 8918) with respect to smaller t
• derived from supplementary of 6-(24,12,3780) (# 8919)
• Tran van Trung construction (right) for 5-(22,10,4928) (# 8922) : der= 5-(22,10,4928) and res= 5-(22,11,9856) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,9856) (# 8923) : der= 5-(22,10,4928) and res= 5-(22,11,9856) - the given design is the residual.
• derived from 6-(24,12,14784) (# 8928)
• design 6-(23,11,4928) (# 8929) with respect to smaller t

# 8922: 5-(22,10,4928)

• clan: 7-(24,12,4928), 2 times derived
• derived from supplementary of 6-(23,11,1260) (# 8918)
• derived from 6-(23,11,4928) (# 8929)

# 8923: 5-(22,11,9856)

• clan: 7-(24,12,4928), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1260) (# 8918)
• derived from supplementary of 6-(23,12,2520) (# 8927)
• residual design of 6-(23,11,4928) (# 8929)
• derived from 6-(23,12,9856) (# 8930)

# 8924: 5-(23,12,6480)

• clan: 7-(24,12,1260), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,3780) (# 8919)
• design 6-(23,12,2520) (# 8927) with respect to smaller t
• residual design of supplementary of 6-(24,12,14784) (# 8928)
• supplementary design of 6-(23,12,9856) (# 8930) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3960) (# 8931) : der= 5-(22,11,2520) and res= 5-(22,12,3960) - the given design is the residual.

# 8925: 5-(24,12,40128)

• clan: 7-(24,12,4928), 2 times reduced t
• supplementary design of 6-(24,12,3780) (# 8919) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,14784) (# 8921)
• Tran van Trung construction (right) for 5-(23,11,14784) (# 8921) : der= 5-(23,11,14784) and res= 5-(23,12,25344) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,25344) (# 8926) : der= 5-(23,11,14784) and res= 5-(23,12,25344) - the given design is the residual.
• design 6-(24,12,14784) (# 8928) with respect to smaller t

# 8926: 5-(23,12,25344)

• clan: 7-(24,12,4928), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3780) (# 8919)
• supplementary design of 6-(23,12,2520) (# 8927) with respect to smaller t
• residual design of 6-(24,12,14784) (# 8928)
• design 6-(23,12,9856) (# 8930) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15488) (# 8932) : der= 5-(22,11,9856) and res= 5-(22,12,15488) - the given design is the residual.

# 8927: 6-(23,12,2520)

• clan: 7-(24,12,1260), 1 times residual
• residual design of 7-(24,12,1260) (# 8920)
• residual design of supplementary of 7-(24,12,4928) (# 8933)

# 8928: 6-(24,12,14784)

• clan: 7-(24,12,4928), 1 times reduced t
• supplementary design of 7-(24,12,1260) (# 8920) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4928) (# 8929)
• Tran van Trung construction (right) for 6-(23,11,4928) (# 8929) : der= 6-(23,11,4928) and res= 6-(23,12,9856) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9856) (# 8930) : der= 6-(23,11,4928) and res= 6-(23,12,9856) - the given design is the residual.
• design 7-(24,12,4928) (# 8933) with respect to smaller t

# 8929: 6-(23,11,4928)

• clan: 7-(24,12,4928), 1 times derived
• derived from supplementary of 7-(24,12,1260) (# 8920)
• derived from 7-(24,12,4928) (# 8933)

# 8930: 6-(23,12,9856)

• clan: 7-(24,12,4928), 1 times residual
• residual design of supplementary of 7-(24,12,1260) (# 8920)
• residual design of 7-(24,12,4928) (# 8933)

# 8931: 5-(22,12,3960)

• clan: 7-(24,12,1260), 2 times residual
• residual design of 6-(23,12,2520) (# 8927)
• residual design of supplementary of 6-(23,12,9856) (# 8930)

# 8932: 5-(22,12,15488)

• clan: 7-(24,12,4928), 2 times residual
• residual design of supplementary of 6-(23,12,2520) (# 8927)
• residual design of 6-(23,12,9856) (# 8930)

# 8933: 7-(24,12,4928)

• clan: 7-(24,12,4928)
• Alltop construction for design 6-(23,11,4928) (# 8929)

# 8934: 6-(23,11,1316)

• clan: 7-(24,12,1316), 1 times derived
• $ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
• derived from 7-(24,12,1316) (# 8936)
• derived from supplementary of 7-(24,12,4872) (# 8949)

# 8935: 6-(24,12,3948)

• clan: 7-(24,12,1316), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1316) (# 8934)
• design 7-(24,12,1316) (# 8936) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2632) (# 8943) : der= 6-(23,11,1316) and res= 6-(23,12,2632) - the given design is the residual.
• supplementary design of 7-(24,12,4872) (# 8949) with respect to smaller t

# 8936: 7-(24,12,1316)

• clan: 7-(24,12,1316)
• Alltop construction for design 6-(23,11,1316) (# 8934)

# 8937: 5-(23,11,14616)

• clan: 7-(24,12,4872), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1316) (# 8934) with respect to smaller t
• derived from supplementary of 6-(24,12,3948) (# 8935)
• Tran van Trung construction (right) for 5-(22,10,4872) (# 8938) : der= 5-(22,10,4872) and res= 5-(22,11,9744) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,9744) (# 8939) : der= 5-(22,10,4872) and res= 5-(22,11,9744) - the given design is the residual.
• derived from 6-(24,12,14616) (# 8944)
• design 6-(23,11,4872) (# 8945) with respect to smaller t

# 8938: 5-(22,10,4872)

• clan: 7-(24,12,4872), 2 times derived
• derived from supplementary of 6-(23,11,1316) (# 8934)
• derived from 6-(23,11,4872) (# 8945)

# 8939: 5-(22,11,9744)

• clan: 7-(24,12,4872), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1316) (# 8934)
• derived from supplementary of 6-(23,12,2632) (# 8943)
• residual design of 6-(23,11,4872) (# 8945)
• derived from 6-(23,12,9744) (# 8946)

# 8940: 5-(23,12,6768)

• clan: 7-(24,12,1316), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,3948) (# 8935)
• design 6-(23,12,2632) (# 8943) with respect to smaller t
• residual design of supplementary of 6-(24,12,14616) (# 8944)
• supplementary design of 6-(23,12,9744) (# 8946) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,4136) (# 8947) : der= 5-(22,11,2632) and res= 5-(22,12,4136) - the given design is the residual.

# 8941: 5-(24,12,39672)

• clan: 7-(24,12,4872), 2 times reduced t
• supplementary design of 6-(24,12,3948) (# 8935) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,14616) (# 8937)
• Tran van Trung construction (right) for 5-(23,11,14616) (# 8937) : der= 5-(23,11,14616) and res= 5-(23,12,25056) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,25056) (# 8942) : der= 5-(23,11,14616) and res= 5-(23,12,25056) - the given design is the residual.
• design 6-(24,12,14616) (# 8944) with respect to smaller t

# 8942: 5-(23,12,25056)

• clan: 7-(24,12,4872), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3948) (# 8935)
• supplementary design of 6-(23,12,2632) (# 8943) with respect to smaller t
• residual design of 6-(24,12,14616) (# 8944)
• design 6-(23,12,9744) (# 8946) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15312) (# 8948) : der= 5-(22,11,9744) and res= 5-(22,12,15312) - the given design is the residual.

# 8943: 6-(23,12,2632)

• clan: 7-(24,12,1316), 1 times residual
• residual design of 7-(24,12,1316) (# 8936)
• residual design of supplementary of 7-(24,12,4872) (# 8949)

# 8944: 6-(24,12,14616)

• clan: 7-(24,12,4872), 1 times reduced t
• supplementary design of 7-(24,12,1316) (# 8936) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4872) (# 8945)
• Tran van Trung construction (right) for 6-(23,11,4872) (# 8945) : der= 6-(23,11,4872) and res= 6-(23,12,9744) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9744) (# 8946) : der= 6-(23,11,4872) and res= 6-(23,12,9744) - the given design is the residual.
• design 7-(24,12,4872) (# 8949) with respect to smaller t

# 8945: 6-(23,11,4872)

• clan: 7-(24,12,4872), 1 times derived
• derived from supplementary of 7-(24,12,1316) (# 8936)
• derived from 7-(24,12,4872) (# 8949)

# 8946: 6-(23,12,9744)

• clan: 7-(24,12,4872), 1 times residual
• residual design of supplementary of 7-(24,12,1316) (# 8936)
• residual design of 7-(24,12,4872) (# 8949)

# 8947: 5-(22,12,4136)

• clan: 7-(24,12,1316), 2 times residual
• residual design of 6-(23,12,2632) (# 8943)
• residual design of supplementary of 6-(23,12,9744) (# 8946)

# 8948: 5-(22,12,15312)

• clan: 7-(24,12,4872), 2 times residual
• residual design of supplementary of 6-(23,12,2632) (# 8943)
• residual design of 6-(23,12,9744) (# 8946)

# 8949: 7-(24,12,4872)

• clan: 7-(24,12,4872)
• Alltop construction for design 6-(23,11,4872) (# 8945)

# 8950: 6-(23,11,1386)

• clan: 7-(24,12,1386), 1 times derived
• $ {\bf PGL(2,19)}{\bf S}_{3}x$% -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
• derived from 7-(24,12,1386) (# 8952)
• derived from supplementary of 7-(24,12,4802) (# 8965)

# 8951: 6-(24,12,4158)

• clan: 7-(24,12,1386), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1386) (# 8950)
• design 7-(24,12,1386) (# 8952) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2772) (# 8959) : der= 6-(23,11,1386) and res= 6-(23,12,2772) - the given design is the residual.
• supplementary design of 7-(24,12,4802) (# 8965) with respect to smaller t

# 8952: 7-(24,12,1386)

• clan: 7-(24,12,1386)
• Alltop construction for design 6-(23,11,1386) (# 8950)

# 8953: 5-(23,11,14406)

• clan: 7-(24,12,4802), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1386) (# 8950) with respect to smaller t
• derived from supplementary of 6-(24,12,4158) (# 8951)
• Tran van Trung construction (right) for 5-(22,10,4802) (# 8954) : der= 5-(22,10,4802) and res= 5-(22,11,9604) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,9604) (# 8955) : der= 5-(22,10,4802) and res= 5-(22,11,9604) - the given design is the residual.
• derived from 6-(24,12,14406) (# 8960)
• design 6-(23,11,4802) (# 8961) with respect to smaller t

# 8954: 5-(22,10,4802)

• clan: 7-(24,12,4802), 2 times derived
• derived from supplementary of 6-(23,11,1386) (# 8950)
• derived from 6-(23,11,4802) (# 8961)

# 8955: 5-(22,11,9604)

• clan: 7-(24,12,4802), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1386) (# 8950)
• derived from supplementary of 6-(23,12,2772) (# 8959)
• residual design of 6-(23,11,4802) (# 8961)
• derived from 6-(23,12,9604) (# 8962)

# 8956: 5-(23,12,7128)

• clan: 7-(24,12,1386), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,4158) (# 8951)
• design 6-(23,12,2772) (# 8959) with respect to smaller t
• residual design of supplementary of 6-(24,12,14406) (# 8960)
• supplementary design of 6-(23,12,9604) (# 8962) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,4356) (# 8963) : der= 5-(22,11,2772) and res= 5-(22,12,4356) - the given design is the residual.

# 8957: 5-(24,12,39102)

• clan: 7-(24,12,4802), 2 times reduced t
• supplementary design of 6-(24,12,4158) (# 8951) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,14406) (# 8953)
• Tran van Trung construction (right) for 5-(23,11,14406) (# 8953) : der= 5-(23,11,14406) and res= 5-(23,12,24696) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,24696) (# 8958) : der= 5-(23,11,14406) and res= 5-(23,12,24696) - the given design is the residual.
• design 6-(24,12,14406) (# 8960) with respect to smaller t

# 8958: 5-(23,12,24696)

• clan: 7-(24,12,4802), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,4158) (# 8951)
• supplementary design of 6-(23,12,2772) (# 8959) with respect to smaller t
• residual design of 6-(24,12,14406) (# 8960)
• design 6-(23,12,9604) (# 8962) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15092) (# 8964) : der= 5-(22,11,9604) and res= 5-(22,12,15092) - the given design is the residual.

# 8959: 6-(23,12,2772)

• clan: 7-(24,12,1386), 1 times residual
• residual design of 7-(24,12,1386) (# 8952)
• residual design of supplementary of 7-(24,12,4802) (# 8965)

# 8960: 6-(24,12,14406)

• clan: 7-(24,12,4802), 1 times reduced t
• supplementary design of 7-(24,12,1386) (# 8952) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4802) (# 8961)
• Tran van Trung construction (right) for 6-(23,11,4802) (# 8961) : der= 6-(23,11,4802) and res= 6-(23,12,9604) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9604) (# 8962) : der= 6-(23,11,4802) and res= 6-(23,12,9604) - the given design is the residual.
• design 7-(24,12,4802) (# 8965) with respect to smaller t

# 8961: 6-(23,11,4802)

• clan: 7-(24,12,4802), 1 times derived
• derived from supplementary of 7-(24,12,1386) (# 8952)
• derived from 7-(24,12,4802) (# 8965)

# 8962: 6-(23,12,9604)

• clan: 7-(24,12,4802), 1 times residual
• residual design of supplementary of 7-(24,12,1386) (# 8952)
• residual design of 7-(24,12,4802) (# 8965)

# 8963: 5-(22,12,4356)

• clan: 7-(24,12,1386), 2 times residual
• residual design of 6-(23,12,2772) (# 8959)
• residual design of supplementary of 6-(23,12,9604) (# 8962)

# 8964: 5-(22,12,15092)

• clan: 7-(24,12,4802), 2 times residual
• residual design of supplementary of 6-(23,12,2772) (# 8959)
• residual design of 6-(23,12,9604) (# 8962)

# 8965: 7-(24,12,4802)

• clan: 7-(24,12,4802)
• Alltop construction for design 6-(23,11,4802) (# 8961)

# 8966: 6-(23,11,1400)

• clan: 7-(24,12,1400), 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+
• derived from 7-(24,12,1400) (# 8970)
• derived from supplementary of 7-(24,12,4788) (# 8983)
• $ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 8967: 5-(23,11,4200)

• clan: 7-(24,12,1400), 1 times reduced t, 1 times derived
• design 6-(23,11,1400) (# 8966) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,1400) (# 8968) : der= 5-(22,10,1400) and res= 5-(22,11,2800) - the given design is the derived.
• derived from 6-(24,12,4200) (# 8969)
• derived from supplementary of 6-(24,12,14364) (# 8978)
• supplementary design of 6-(23,11,4788) (# 8979) with respect to smaller t

# 8968: 5-(22,10,1400)

• clan: 7-(24,12,1400), 2 times derived
• derived from 6-(23,11,1400) (# 8966)
• derived from supplementary of 6-(23,11,4788) (# 8979)

# 8969: 6-(24,12,4200)

• clan: 7-(24,12,1400), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1400) (# 8966)
• design 7-(24,12,1400) (# 8970) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2800) (# 8977) : der= 6-(23,11,1400) and res= 6-(23,12,2800) - the given design is the residual.
• supplementary design of 7-(24,12,4788) (# 8983) with respect to smaller t

# 8970: 7-(24,12,1400)

• clan: 7-(24,12,1400)
• Alltop construction for design 6-(23,11,1400) (# 8966)

# 8971: 5-(23,11,14364)

• clan: 7-(24,12,4788), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1400) (# 8966) with respect to smaller t
• derived from supplementary of 6-(24,12,4200) (# 8969)
• Tran van Trung construction (right) for 5-(22,10,4788) (# 8972) : der= 5-(22,10,4788) and res= 5-(22,11,9576) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,9576) (# 8973) : der= 5-(22,10,4788) and res= 5-(22,11,9576) - the given design is the residual.
• derived from 6-(24,12,14364) (# 8978)
• design 6-(23,11,4788) (# 8979) with respect to smaller t

# 8972: 5-(22,10,4788)

• clan: 7-(24,12,4788), 2 times derived
• derived from supplementary of 6-(23,11,1400) (# 8966)
• derived from 6-(23,11,4788) (# 8979)

# 8973: 5-(22,11,9576)

• clan: 7-(24,12,4788), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1400) (# 8966)
• derived from supplementary of 6-(23,12,2800) (# 8977)
• residual design of 6-(23,11,4788) (# 8979)
• derived from 6-(23,12,9576) (# 8980)

# 8974: 5-(23,12,7200)

• clan: 7-(24,12,1400), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,4200) (# 8969)
• design 6-(23,12,2800) (# 8977) with respect to smaller t
• residual design of supplementary of 6-(24,12,14364) (# 8978)
• supplementary design of 6-(23,12,9576) (# 8980) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,4400) (# 8981) : der= 5-(22,11,2800) and res= 5-(22,12,4400) - the given design is the residual.

# 8975: 5-(24,12,38988)

• clan: 7-(24,12,4788), 2 times reduced t
• supplementary design of 6-(24,12,4200) (# 8969) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,14364) (# 8971)
• Tran van Trung construction (right) for 5-(23,11,14364) (# 8971) : der= 5-(23,11,14364) and res= 5-(23,12,24624) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,24624) (# 8976) : der= 5-(23,11,14364) and res= 5-(23,12,24624) - the given design is the residual.
• design 6-(24,12,14364) (# 8978) with respect to smaller t

# 8976: 5-(23,12,24624)

• clan: 7-(24,12,4788), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,4200) (# 8969)
• supplementary design of 6-(23,12,2800) (# 8977) with respect to smaller t
• residual design of 6-(24,12,14364) (# 8978)
• design 6-(23,12,9576) (# 8980) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15048) (# 8982) : der= 5-(22,11,9576) and res= 5-(22,12,15048) - the given design is the residual.

# 8977: 6-(23,12,2800)

• clan: 7-(24,12,1400), 1 times residual
• residual design of 7-(24,12,1400) (# 8970)
• residual design of supplementary of 7-(24,12,4788) (# 8983)

# 8978: 6-(24,12,14364)

• clan: 7-(24,12,4788), 1 times reduced t
• supplementary design of 7-(24,12,1400) (# 8970) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4788) (# 8979)
• Tran van Trung construction (right) for 6-(23,11,4788) (# 8979) : der= 6-(23,11,4788) and res= 6-(23,12,9576) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9576) (# 8980) : der= 6-(23,11,4788) and res= 6-(23,12,9576) - the given design is the residual.
• design 7-(24,12,4788) (# 8983) with respect to smaller t

# 8979: 6-(23,11,4788)

• clan: 7-(24,12,4788), 1 times derived
• derived from supplementary of 7-(24,12,1400) (# 8970)
• derived from 7-(24,12,4788) (# 8983)

# 8980: 6-(23,12,9576)

• clan: 7-(24,12,4788), 1 times residual
• residual design of supplementary of 7-(24,12,1400) (# 8970)
• residual design of 7-(24,12,4788) (# 8983)

# 8981: 5-(22,12,4400)

• clan: 7-(24,12,1400), 2 times residual
• residual design of 6-(23,12,2800) (# 8977)
• residual design of supplementary of 6-(23,12,9576) (# 8980)

# 8982: 5-(22,12,15048)

• clan: 7-(24,12,4788), 2 times residual
• residual design of supplementary of 6-(23,12,2800) (# 8977)
• residual design of 6-(23,12,9576) (# 8980)

# 8983: 7-(24,12,4788)

• clan: 7-(24,12,4788)
• Alltop construction for design 6-(23,11,4788) (# 8979)

# 8984: 6-(23,11,1442)

• clan: 7-(24,12,1442), 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+
• derived from 7-(24,12,1442) (# 8988)
• derived from supplementary of 7-(24,12,4746) (# 9001)

# 8985: 5-(23,11,4326)

• clan: 7-(24,12,1442), 1 times reduced t, 1 times derived
• design 6-(23,11,1442) (# 8984) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,1442) (# 8986) : der= 5-(22,10,1442) and res= 5-(22,11,2884) - the given design is the derived.
• derived from 6-(24,12,4326) (# 8987)
• derived from supplementary of 6-(24,12,14238) (# 8996)
• supplementary design of 6-(23,11,4746) (# 8997) with respect to smaller t

# 8986: 5-(22,10,1442)

• clan: 7-(24,12,1442), 2 times derived
• derived from 6-(23,11,1442) (# 8984)
• derived from supplementary of 6-(23,11,4746) (# 8997)

# 8987: 6-(24,12,4326)

• clan: 7-(24,12,1442), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1442) (# 8984)
• design 7-(24,12,1442) (# 8988) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2884) (# 8995) : der= 6-(23,11,1442) and res= 6-(23,12,2884) - the given design is the residual.
• supplementary design of 7-(24,12,4746) (# 9001) with respect to smaller t

# 8988: 7-(24,12,1442)

• clan: 7-(24,12,1442)
• Alltop construction for design 6-(23,11,1442) (# 8984)

# 8989: 5-(23,11,14238)

• clan: 7-(24,12,4746), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1442) (# 8984) with respect to smaller t
• derived from supplementary of 6-(24,12,4326) (# 8987)
• Tran van Trung construction (right) for 5-(22,10,4746) (# 8990) : der= 5-(22,10,4746) and res= 5-(22,11,9492) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,9492) (# 8991) : der= 5-(22,10,4746) and res= 5-(22,11,9492) - the given design is the residual.
• derived from 6-(24,12,14238) (# 8996)
• design 6-(23,11,4746) (# 8997) with respect to smaller t

# 8990: 5-(22,10,4746)

• clan: 7-(24,12,4746), 2 times derived
• derived from supplementary of 6-(23,11,1442) (# 8984)
• derived from 6-(23,11,4746) (# 8997)

# 8991: 5-(22,11,9492)

• clan: 7-(24,12,4746), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1442) (# 8984)
• derived from supplementary of 6-(23,12,2884) (# 8995)
• residual design of 6-(23,11,4746) (# 8997)
• derived from 6-(23,12,9492) (# 8998)

# 8992: 5-(23,12,7416)

• clan: 7-(24,12,1442), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,4326) (# 8987)
• design 6-(23,12,2884) (# 8995) with respect to smaller t
• residual design of supplementary of 6-(24,12,14238) (# 8996)
• supplementary design of 6-(23,12,9492) (# 8998) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,4532) (# 8999) : der= 5-(22,11,2884) and res= 5-(22,12,4532) - the given design is the residual.

# 8993: 5-(24,12,38646)

• clan: 7-(24,12,4746), 2 times reduced t
• supplementary design of 6-(24,12,4326) (# 8987) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,14238) (# 8989)
• Tran van Trung construction (right) for 5-(23,11,14238) (# 8989) : der= 5-(23,11,14238) and res= 5-(23,12,24408) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,24408) (# 8994) : der= 5-(23,11,14238) and res= 5-(23,12,24408) - the given design is the residual.
• design 6-(24,12,14238) (# 8996) with respect to smaller t

# 8994: 5-(23,12,24408)

• clan: 7-(24,12,4746), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,4326) (# 8987)
• supplementary design of 6-(23,12,2884) (# 8995) with respect to smaller t
• residual design of 6-(24,12,14238) (# 8996)
• design 6-(23,12,9492) (# 8998) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,14916) (# 9000) : der= 5-(22,11,9492) and res= 5-(22,12,14916) - the given design is the residual.

# 8995: 6-(23,12,2884)

• clan: 7-(24,12,1442), 1 times residual
• residual design of 7-(24,12,1442) (# 8988)
• residual design of supplementary of 7-(24,12,4746) (# 9001)

# 8996: 6-(24,12,14238)

• clan: 7-(24,12,4746), 1 times reduced t
• supplementary design of 7-(24,12,1442) (# 8988) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4746) (# 8997)
• Tran van Trung construction (right) for 6-(23,11,4746) (# 8997) : der= 6-(23,11,4746) and res= 6-(23,12,9492) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9492) (# 8998) : der= 6-(23,11,4746) and res= 6-(23,12,9492) - the given design is the residual.
• design 7-(24,12,4746) (# 9001) with respect to smaller t

# 8997: 6-(23,11,4746)

• clan: 7-(24,12,4746), 1 times derived
• derived from supplementary of 7-(24,12,1442) (# 8988)
• derived from 7-(24,12,4746) (# 9001)

# 8998: 6-(23,12,9492)

• clan: 7-(24,12,4746), 1 times residual
• residual design of supplementary of 7-(24,12,1442) (# 8988)
• residual design of 7-(24,12,4746) (# 9001)

# 8999: 5-(22,12,4532)

• clan: 7-(24,12,1442), 2 times residual
• residual design of 6-(23,12,2884) (# 8995)
• residual design of supplementary of 6-(23,12,9492) (# 8998)

created: Fri Oct 23 11:12:08 CEST 2009