t designs with small t, id ge 900

---

# 900: 5-(19,10,1512)

• clan: 7-(20,10,216), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,756) (# 898)

---

# 901: 5-(19,9,763)

• clan: 7-(20,10,218), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 902: 5-(20,10,2289)

• clan: 7-(20,10,218), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,763) (# 901)
• Tran van Trung construction (right) for 5-(19,9,763) (# 901) : der= 5-(19,9,763) and res= 5-(19,10,1526) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1526) (# 903) : der= 5-(19,9,763) and res= 5-(19,10,1526) - the given design is the residual.

---

# 903: 5-(19,10,1526)

• clan: 7-(20,10,218), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,763) (# 901)

---

# 904: 5-(19,9,770)

• clan: 11-(24,12,10), 1 times reduced t, 3 times derived, 2 times residual
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 905: 5-(20,10,2310)

• clan: 11-(24,12,10), 2 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(19,9,770) (# 904)
• Tran van Trung construction (right) for 5-(19,9,770) (# 904) : der= 5-(19,9,770) and res= 5-(19,10,1540) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1540) (# 906) : der= 5-(19,9,770) and res= 5-(19,10,1540) - the given design is the residual.
• residual design of supplementary of 6-(21,10,315) (# 13128)
• derived from supplementary of 6-(21,11,693) (# 13129)
• residual design of 6-(21,10,1050) (# 13131)
• derived from 6-(21,11,2310) (# 13132)

---

# 906: 5-(19,10,1540)

• clan: 11-(24,12,10), 1 times reduced t, 2 times derived, 3 times residual
• complementary design of 5-(19,9,770) (# 904)

---

# 907: 5-(19,9,777)

• clan: 7-(20,10,222), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 908: 5-(20,10,2331)

• clan: 7-(20,10,222), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,777) (# 907)
• Tran van Trung construction (right) for 5-(19,9,777) (# 907) : der= 5-(19,9,777) and res= 5-(19,10,1554) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1554) (# 909) : der= 5-(19,9,777) and res= 5-(19,10,1554) - the given design is the residual.

---

# 909: 5-(19,10,1554)

• clan: 7-(20,10,222), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,777) (# 907)

---

# 910: 5-(19,9,784)

• clan: 7-(20,10,224), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 911: 5-(20,10,2352)

• clan: 7-(20,10,224), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,784) (# 910)
• Tran van Trung construction (right) for 5-(19,9,784) (# 910) : der= 5-(19,9,784) and res= 5-(19,10,1568) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1568) (# 912) : der= 5-(19,9,784) and res= 5-(19,10,1568) - the given design is the residual.

---

# 912: 5-(19,10,1568)

• clan: 7-(20,10,224), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,784) (# 910)

---

# 913: 5-(19,9,791)

• clan: 7-(20,10,226), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 914: 5-(20,10,2373)

• clan: 7-(20,10,226), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,791) (# 913)
• Tran van Trung construction (right) for 5-(19,9,791) (# 913) : der= 5-(19,9,791) and res= 5-(19,10,1582) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1582) (# 915) : der= 5-(19,9,791) and res= 5-(19,10,1582) - the given design is the residual.

---

# 915: 5-(19,10,1582)

• clan: 7-(20,10,226), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,791) (# 913)

---

# 916: 5-(19,9,798)

• clan: 7-(20,10,228), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 917: 5-(20,10,2394)

• clan: 7-(20,10,228), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,798) (# 916)
• Tran van Trung construction (right) for 5-(19,9,798) (# 916) : der= 5-(19,9,798) and res= 5-(19,10,1596) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1596) (# 918) : der= 5-(19,9,798) and res= 5-(19,10,1596) - the given design is the residual.

---

# 918: 5-(19,10,1596)

• clan: 7-(20,10,228), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,798) (# 916)

---

# 919: 5-(19,9,805)

• clan: 7-(20,10,230), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 920: 5-(20,10,2415)

• clan: 7-(20,10,230), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,805) (# 919)
• Tran van Trung construction (right) for 5-(19,9,805) (# 919) : der= 5-(19,9,805) and res= 5-(19,10,1610) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1610) (# 921) : der= 5-(19,9,805) and res= 5-(19,10,1610) - the given design is the residual.

---

# 921: 5-(19,10,1610)

• clan: 7-(20,10,230), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,805) (# 919)

---

# 922: 5-(19,9,833)

• clan: 7-(20,10,238), 1 times reduced t, 1 times derived
• $ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+

---

# 923: 5-(20,10,2499)

• clan: 7-(20,10,238), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(19,9,833) (# 922)
• Tran van Trung construction (right) for 5-(19,9,833) (# 922) : der= 5-(19,9,833) and res= 5-(19,10,1666) - the given design is the derived.
• Tran van Trung construction (left) for 5-(19,10,1666) (# 924) : der= 5-(19,9,833) and res= 5-(19,10,1666) - the given design is the residual.

---

# 924: 5-(19,10,1666)

• clan: 7-(20,10,238), 1 times reduced t, 1 times residual
• complementary design of 5-(19,9,833) (# 922)

---

# 925: 5-(20,10,126)

• clan: 7-(20,10,12), 2 times reduced t
• \cite{Krameretal85} $PSL(2,19)$ 2 isomorphism types

---

# 926: 5-(20,10,189)

• clan: 7-(20,10,18), 2 times reduced t
• \cite{Krameretal85}

---

# 927: 5-(20,10,210)

• clan: 7-(20,10,20), 2 times reduced t
• \cite{Krameretal85} $PSL(2,19)$ 101 isomorphism types

---

# 928: 5-(20,10,231)

• clan: 11-(24,12,1), 2 times reduced t, 2 times derived, 2 times residual
• \cite{Krameretal85} $PSL(2,19)$ 56 isomorphism types

---

# 929: 5-(20,10,252)

• clan: 7-(20,10,24), 2 times reduced t
• \cite{Krameretal85} $PGL(2,19)$ 6 isomorphism types

---

# 930: 5-(20,10,273)

• clan: 9-(20,10,1), 4 times reduced t
• \cite{Krameretal85} $PSL(2,19)$ 818 isomorphism types

---

# 931: 5-(20,10,294)

• clan: 7-(20,10,28), 2 times reduced t
• \cite{Krameretal85}

---

# 932: 5-(20,10,357)

• clan: 7-(20,10,34), 2 times reduced t
• \cite{Krameretal85} $PGL(2,19)$ 25 isomorphism types

---

# 933: 5-(20,8,105)

• clan: 11-(24,12,3), 2 times reduced t, 4 times derived
• \cite{Krameretal85} $PGL(2,19)$ 64 isomorphism types

---

# 934: 5-(21,9,420)

• clan: 11-(24,12,3), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(20,8,105) (# 933) : der= 5-(20,8,105) and res= 5-(20,9,315) - the given design is the derived.

---

# 935: 5-(22,10,1428)

• clan: 11-(24,12,3), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(21,9,420) (# 934) : der= 5-(21,9,420) and res= 5-(21,10,1008) - the given design is the derived.
• \cite{Kreher95} $PGL(2,19)++$

---

# 936: 5-(23,11,4284)

• clan: 11-(24,12,3), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1428) (# 935) : der= 5-(22,10,1428) and res= 5-(22,11,2856) - the given design is the derived.

---

# 937: 5-(24,12,11628)

• clan: 11-(24,12,3), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,4284) (# 936)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• \cite{Bluskov}

---

# 938: 5-(20,8,35)

• clan: 11-(24,12,1), 2 times reduced t, 4 times derived
• \cite{Krameretal85} $PSL(2,19)$ 5 isomorphism types

---

# 939: 5-(20,8,70)

• clan: 11-(24,12,2), 2 times reduced t, 4 times derived
• \cite{Krameretal85} $PGL(2,19)$ 3 isomorphism types

---

# 940: 5-(21,9,280)

• clan: 11-(24,12,2), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(20,8,70) (# 939) : der= 5-(20,8,70) and res= 5-(20,9,210) - the given design is the derived.

---

# 941: 5-(22,10,952)

• clan: 11-(24,12,2), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(21,9,280) (# 940) : der= 5-(21,9,280) and res= 5-(21,10,672) - the given design is the derived.
• \cite{Kreher95}

---

# 942: 5-(23,11,2856)

• clan: 11-(24,12,2), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,952) (# 941) : der= 5-(22,10,952) and res= 5-(22,11,1904) - the given design is the derived.

---

# 943: 5-(24,12,7752)

• clan: 11-(24,12,2), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,2856) (# 942)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 944: 5-(20,9,105)

• clan: 11-(24,12,1), 2 times reduced t, 3 times derived, 1 times residual
• \cite{Krameretal85} $PGL(2,19)$ 1 isomorphism type

---

# 945: 5-(21,9,140)

• clan: 11-(24,12,1), 3 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(20,9,105) (# 944) : der= 5-(20,8,35) and res= 5-(20,9,105) - the given design is the residual.

---

# 946: 5-(21,10,336)

• clan: 11-(24,12,1), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(20,9,105) (# 944) : der= 5-(20,9,105) and res= 5-(20,10,231) - the given design is the derived.
• $P\Sigma L(3,4)$ 1 isomorphism type \cite{Schmalz}
• \cite{Kramer84} $PSL(2,19)+$ 9040 solutions

---

# 947: 5-(22,10,476)

• clan: 11-(24,12,1), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(21,9,140) (# 945) : der= 5-(21,9,140) and res= 5-(21,10,336) - the given design is the derived.
• Tran van Trung construction (left) for 5-(21,10,336) (# 946) : der= 5-(21,9,140) and res= 5-(21,10,336) - the given design is the residual.
• \cite{Kreher95} $PGL(2,19)++$ 10 solutions

---

# 948: 5-(21,11,616)

• clan: 11-(24,12,1), 3 times reduced t, 1 times derived, 2 times residual
• complementary design of 5-(21,10,336) (# 946)

---

# 949: 5-(23,11,1428)

• clan: 11-(24,12,1), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,476) (# 947) : der= 5-(22,10,476) and res= 5-(22,11,952) - the given design is the derived.

---

# 950: 5-(24,12,3876)

• clan: 11-(24,12,1), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1428) (# 949)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• \cite{Bluskov}

---

# 951: 5-(21,10,1512)

• clan: 8-(24,12,630), 2 times derived, 1 times residual
• $PGL(2,19)+$
• derived from 6-(22,11,1512) (# 8705)

---

# 952: 5-(21,11,2772)

• clan: 8-(24,12,630), 1 times derived, 2 times residual
• complementary design of 5-(21,10,1512) (# 951)
• residual design of 6-(22,11,1512) (# 8705)

---

# 953: 5-(21,10,1848)

• clan: 8-(24,12,770), 2 times derived, 1 times residual
• $PGL(2,19)+$
• derived from 6-(22,11,1848) (# 8709)

---

# 954: 5-(21,11,3388)

• clan: 8-(24,12,770), 1 times derived, 2 times residual
• complementary design of 5-(21,10,1848) (# 953)
• residual design of 6-(22,11,1848) (# 8709)

---

# 955: 5-(21,10,2184)

• clan: 14-(30,15,8), 5 times derived, 4 times residual
• $PSL(3,2)\times S_3$ Halving of the complete design
• derived from 6-(22,11,2184) (# 956)
• derived from supplementary of 6-(22,11,2184) (# 956)

---

# 956: 6-(22,11,2184)

• clan: 14-(30,15,8), 4 times derived, 4 times residual
• Alltop construction for design 5-(21,10,2184) (# 955)

---

# 957: 5-(21,11,4004)

• clan: 14-(30,15,8), 4 times derived, 5 times residual
• complementary design of 5-(21,10,2184) (# 955)
• residual design of 6-(22,11,2184) (# 956)
• residual design of supplementary of 6-(22,11,2184) (# 956)

---

# 958: 5-(21,10,2352)

• clan: 11-(24,12,7), 3 times reduced t, 2 times derived, 1 times residual
• $PGL(2,19)+$
• residual design of supplementary of 6-(22,10,840) (# 8696)
• derived from supplementary of 6-(22,11,2016) (# 8713)
• supplementary design of 6-(21,10,630) (# 13138) with respect to smaller t
• derived from 6-(22,11,2352) (# 13140)
• design 6-(21,10,735) (# 13141) with respect to smaller t
• Tran van Trung construction (right) for 5-(20,9,735) (# 13143) : der= 5-(20,9,735) and res= 5-(20,10,1617) - the given design is the derived.

---

# 959: 5-(21,11,4312)

• clan: 11-(24,12,7), 3 times reduced t, 1 times derived, 2 times residual
• complementary design of 5-(21,10,2352) (# 958)
• residual design of supplementary of 6-(22,11,2016) (# 8713)
• supplementary design of 6-(21,11,1386) (# 13139) with respect to smaller t
• residual design of 6-(22,11,2352) (# 13140)
• design 6-(21,11,1617) (# 13142) with respect to smaller t
• Tran van Trung construction (left) for 5-(20,11,2695) (# 13145) : der= 5-(20,10,1617) and res= 5-(20,11,2695) - the given design is the residual.

---

# 960: 5-(21,10,840)

• clan: 8-(24,12,350), 2 times derived, 1 times residual
• $PGL(2,19)+$
• residual design of 6-(22,10,350) (# 8685)
• derived from 6-(22,11,840) (# 8726)

---

# 961: 5-(21,11,1540)

• clan: 8-(24,12,350), 1 times derived, 2 times residual
• complementary design of 5-(21,10,840) (# 960)
• residual design of 6-(22,11,840) (# 8726)

---

# 962: 5-(21,6,4)

• clan: 6-(22,7,4), 1 times derived
• $Hol(C_{21})$

---

# 963: 5-(21,9,910)

• clan: 14-(30,15,8), 6 times derived, 3 times residual
• $LS[2](5,9,21)$ $PSL(2,9)$
• $P\Gamma L(2,9)xid_2+$ Halving of the complete design
• residual design of 6-(22,9,280) (# 8766)
• residual design of supplementary of 6-(22,9,280) (# 8766)

---

# 964: 5-(22,10,3094)

• clan: 14-(30,15,8), 1 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(21,9,910) (# 963) : der= 5-(21,9,910) and res= 5-(21,10,2184) - the given design is the derived.
• residual design of 6-(23,10,1190) (# 13209)
• residual design of supplementary of 6-(23,10,1190) (# 13209)

---

# 965: 5-(23,11,9282)

• clan: 14-(30,15,8), 2 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(22,10,3094) (# 964) : der= 5-(22,10,3094) and res= 5-(22,11,6188) - the given design is the derived.
• derived from 6-(24,12,9282) (# 967)
• derived from supplementary of 6-(24,12,9282) (# 967)

---

# 966: 5-(24,12,25194)

• clan: 14-(30,15,8), 3 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(23,11,9282) (# 965)
• design 6-(24,12,9282) (# 967) with respect to smaller t
• supplementary design of 6-(24,12,9282) (# 967) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,15912) (# 968) : der= 5-(23,11,9282) and res= 5-(23,12,15912) - the given design is the residual.
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 967: 6-(24,12,9282)

• clan: 14-(30,15,8), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 5-(23,11,9282) (# 965)
• PSL(2,23) (many isom. types) Halving of the complete design

---

# 968: 5-(23,12,15912)

• clan: 14-(30,15,8), 2 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(24,12,9282) (# 967)
• residual design of supplementary of 6-(24,12,9282) (# 967)

---

# 969: 5-(21,9,630)

• clan: 8-(24,12,630), 3 times derived
• $PSL(3,2)\times S_3$

---

# 970: 5-(22,10,2142)

• clan: 8-(24,12,630), 1 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(21,9,630) (# 969) : der= 5-(21,9,630) and res= 5-(21,10,1512) - the given design is the derived.
• derived from 6-(23,11,2142) (# 9343)
• derived from supplementary of 6-(23,11,4046) (# 9353)

---

# 971: 5-(23,11,6426)

• clan: 8-(24,12,630), 2 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2142) (# 970) : der= 5-(22,10,2142) and res= 5-(22,11,4284) - the given design is the derived.
• design 6-(23,11,2142) (# 9343) with respect to smaller t
• derived from 6-(24,12,6426) (# 9344)
• derived from supplementary of 6-(24,12,12138) (# 9352)
• supplementary design of 6-(23,11,4046) (# 9353) with respect to smaller t

---

# 972: 5-(24,12,17442)

• clan: 8-(24,12,630), 3 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,6426) (# 971)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• \cite{Bluskov}
• design 6-(24,12,6426) (# 9344) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,11016) (# 9348) : der= 5-(23,11,6426) and res= 5-(23,12,11016) - the given design is the residual.
• supplementary design of 6-(24,12,12138) (# 9352) with respect to smaller t

---

# 973: 5-(22,10,1008)

• clan: 7-(24,12,1008), 2 times derived
• $PGL(2,19)++$
• derived from 6-(23,11,1008) (# 8821)
• derived from supplementary of 6-(23,11,5180) (# 8832)

---

# 974: 5-(23,11,3024)

• clan: 7-(24,12,1008), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1008) (# 973) : der= 5-(22,10,1008) and res= 5-(22,11,2016) - the given design is the derived.
• design 6-(23,11,1008) (# 8821) with respect to smaller t
• derived from 6-(24,12,3024) (# 8822)
• derived from supplementary of 6-(24,12,15540) (# 8831)
• supplementary design of 6-(23,11,5180) (# 8832) with respect to smaller t

---

# 975: 5-(24,12,8208)

• clan: 7-(24,12,1008), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3024) (# 974)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,3024) (# 8822) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,5184) (# 8828) : der= 5-(23,11,3024) and res= 5-(23,12,5184) - the given design is the residual.
• supplementary design of 6-(24,12,15540) (# 8831) with respect to smaller t

---

# 976: 5-(22,10,1022)

• clan: 7-(24,12,1022), 2 times derived
• $PGL(2,19)++$
• derived from 6-(23,11,1022) (# 8837)
• derived from supplementary of 6-(23,11,5166) (# 8848)

---

# 977: 5-(23,11,3066)

• clan: 7-(24,12,1022), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1022) (# 976) : der= 5-(22,10,1022) and res= 5-(22,11,2044) - the given design is the derived.
• design 6-(23,11,1022) (# 8837) with respect to smaller t
• derived from 6-(24,12,3066) (# 8838)
• derived from supplementary of 6-(24,12,15498) (# 8847)
• supplementary design of 6-(23,11,5166) (# 8848) with respect to smaller t

---

# 978: 5-(24,12,8322)

• clan: 7-(24,12,1022), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3066) (# 977)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,3066) (# 8838) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,5256) (# 8844) : der= 5-(23,11,3066) and res= 5-(23,12,5256) - the given design is the residual.
• supplementary design of 6-(24,12,15498) (# 8847) with respect to smaller t

---

# 979: 5-(22,10,1050)

• clan: 7-(24,12,1050), 2 times derived
• $PGL(2,19)++$

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# 980: 5-(23,11,3150)

• clan: 7-(24,12,1050), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1050) (# 979) : der= 5-(22,10,1050) and res= 5-(22,11,2100) - the given design is the derived.

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# 981: 5-(24,12,8550)

• clan: 7-(24,12,1050), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3150) (# 980)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 982: 5-(22,10,1092)

• clan: 15-(32,16,3), 6 times derived, 4 times residual
• $M_{11}\times C_2$, 250 solutions
• residual design of 6-(23,10,420) (# 8775)
• derived from 6-(23,11,1092) (# 8853)
• derived from supplementary of 6-(23,11,5096) (# 8865)

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# 983: 5-(23,11,3276)

• clan: 15-(32,16,3), 1 times reduced t, 5 times derived, 4 times residual
• Tran van Trung construction (right) for 5-(22,10,1092) (# 982) : der= 5-(22,10,1092) and res= 5-(22,11,2184) - the given design is the derived.
• design 6-(23,11,1092) (# 8853) with respect to smaller t
• derived from 6-(24,12,3276) (# 8854)
• residual design of 6-(24,11,1512) (# 8858)
• derived from supplementary of 6-(24,12,15288) (# 8864)
• supplementary design of 6-(23,11,5096) (# 8865) with respect to smaller t

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# 984: 5-(24,12,8892)

• clan: 15-(32,16,3), 2 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 5-(23,11,3276) (# 983)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,3276) (# 8854) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,5616) (# 8859) : der= 5-(23,11,3276) and res= 5-(23,12,5616) - the given design is the residual.
• residual design of 6-(25,12,4788) (# 8862)
• supplementary design of 6-(24,12,15288) (# 8864) with respect to smaller t
• derived from 6-(25,13,8892) (# 8877)
• residual design of supplementary of 6-(25,12,22344) (# 8879)
• derived from supplementary of 6-(25,13,41496) (# 8880)

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# 985: 5-(22,10,1148)

• clan: 7-(24,12,1148), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,1148) (# 8884)
• derived from supplementary of 6-(23,11,5040) (# 8895)

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# 986: 5-(23,11,3444)

• clan: 7-(24,12,1148), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1148) (# 985) : der= 5-(22,10,1148) and res= 5-(22,11,2296) - the given design is the derived.
• design 6-(23,11,1148) (# 8884) with respect to smaller t
• derived from 6-(24,12,3444) (# 8885)
• derived from supplementary of 6-(24,12,15120) (# 8894)
• supplementary design of 6-(23,11,5040) (# 8895) with respect to smaller t

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# 987: 5-(24,12,9348)

• clan: 7-(24,12,1148), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3444) (# 986)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,3444) (# 8885) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,5904) (# 8890) : der= 5-(23,11,3444) and res= 5-(23,12,5904) - the given design is the residual.
• supplementary design of 6-(24,12,15120) (# 8894) with respect to smaller t

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# 988: 5-(22,10,1176)

• clan: 7-(24,12,1176), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$

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# 989: 5-(23,11,3528)

• clan: 7-(24,12,1176), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1176) (# 988) : der= 5-(22,10,1176) and res= 5-(22,11,2352) - the given design is the derived.

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# 990: 5-(24,12,9576)

• clan: 7-(24,12,1176), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3528) (# 989)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 991: 5-(22,10,1232)

• clan: 7-(24,12,1232), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$

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# 992: 5-(23,11,3696)

• clan: 7-(24,12,1232), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1232) (# 991) : der= 5-(22,10,1232) and res= 5-(22,11,2464) - the given design is the derived.

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# 993: 5-(24,12,10032)

• clan: 7-(24,12,1232), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3696) (# 992)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 994: 5-(22,10,1260)

• clan: 7-(24,12,1260), 2 times derived
• $PGL(2,19)++$
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,1260) (# 8918)
• derived from supplementary of 6-(23,11,4928) (# 8929)

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# 995: 5-(23,11,3780)

• clan: 7-(24,12,1260), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1260) (# 994) : der= 5-(22,10,1260) and res= 5-(22,11,2520) - the given design is the derived.
• design 6-(23,11,1260) (# 8918) with respect to smaller t
• derived from 6-(24,12,3780) (# 8919)
• derived from supplementary of 6-(24,12,14784) (# 8928)
• supplementary design of 6-(23,11,4928) (# 8929) with respect to smaller t

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# 996: 5-(24,12,10260)

• clan: 7-(24,12,1260), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3780) (# 995)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,3780) (# 8919) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,6480) (# 8924) : der= 5-(23,11,3780) and res= 5-(23,12,6480) - the given design is the residual.
• supplementary design of 6-(24,12,14784) (# 8928) with respect to smaller t

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# 997: 5-(22,10,1302)

• clan: 7-(24,12,1302), 2 times derived
• $PGL(2,19)++$

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# 998: 5-(23,11,3906)

• clan: 7-(24,12,1302), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1302) (# 997) : der= 5-(22,10,1302) and res= 5-(22,11,2604) - the given design is the derived.

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# 999: 5-(24,12,10602)

• clan: 7-(24,12,1302), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3906) (# 998)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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created: Fri Oct 23 11:09:36 CEST 2009