t designs with small t, id ge 16000

---

# 16000: 5-(28,10,19684)

• clan: 8-(31,10,148), 3 times residual
• residual design of supplementary of 6-(29,10,3675) (# 15995)
• residual design of 6-(29,10,5180) (# 15998)

---

# 16001: 7-(30,10,756)

• clan: 8-(31,10,108), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16002: 6-(30,10,4536)

• clan: 8-(31,10,108), 1 times reduced t, 1 times residual
• design 7-(30,10,756) (# 16001) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,10,3780) (# 16003) : der= 6-(29,9,756) and res= 6-(29,10,3780) - the given design is the residual.

---

# 16003: 6-(29,10,3780)

• clan: 8-(31,10,108), 2 times residual
• residual design of 7-(30,10,756) (# 16001)

---

# 16004: 6-(30,10,6090)

• clan: 8-(31,10,145), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,756) (# 16001) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1015) (# 16005) : der= 6-(29,9,1015) and res= 6-(29,10,5075) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5075) (# 16006) : der= 6-(29,9,1015) and res= 6-(29,10,5075) - the given design is the residual.

---

# 16005: 6-(29,9,1015)

• clan: 8-(31,10,145), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,756) (# 16001)

---

# 16006: 6-(29,10,5075)

• clan: 8-(31,10,145), 2 times residual
• residual design of supplementary of 7-(30,10,756) (# 16001)

---

# 16007: 5-(30,10,22680)

• clan: 8-(31,10,108), 2 times reduced t, 1 times residual
• design 6-(30,10,4536) (# 16002) with respect to smaller t
• supplementary design of 6-(30,10,6090) (# 16004) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,18144) (# 16008) : der= 5-(29,9,4536) and res= 5-(29,10,18144) - the given design is the residual.

---

# 16008: 5-(29,10,18144)

• clan: 8-(31,10,108), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,4536) (# 16002)
• design 6-(29,10,3780) (# 16003) with respect to smaller t
• residual design of supplementary of 6-(30,10,6090) (# 16004)
• supplementary design of 6-(29,10,5075) (# 16006) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,14364) (# 16011) : der= 5-(28,9,3780) and res= 5-(28,10,14364) - the given design is the residual.

---

# 16009: 5-(30,10,30450)

• clan: 8-(31,10,145), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,4536) (# 16002) with respect to smaller t
• design 6-(30,10,6090) (# 16004) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,24360) (# 16010) : der= 5-(29,9,6090) and res= 5-(29,10,24360) - the given design is the residual.

---

# 16010: 5-(29,10,24360)

• clan: 8-(31,10,145), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,4536) (# 16002)
• supplementary design of 6-(29,10,3780) (# 16003) with respect to smaller t
• residual design of 6-(30,10,6090) (# 16004)
• design 6-(29,10,5075) (# 16006) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,19285) (# 16012) : der= 5-(28,9,5075) and res= 5-(28,10,19285) - the given design is the residual.

---

# 16011: 5-(28,10,14364)

• clan: 8-(31,10,108), 3 times residual
• residual design of 6-(29,10,3780) (# 16003)
• residual design of supplementary of 6-(29,10,5075) (# 16006)

---

# 16012: 5-(28,10,19285)

• clan: 8-(31,10,145), 3 times residual
• residual design of supplementary of 6-(29,10,3780) (# 16003)
• residual design of 6-(29,10,5075) (# 16006)

---

# 16013: 7-(30,10,763)

• clan: 8-(31,10,109), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16014: 6-(30,10,4578)

• clan: 8-(31,10,109), 1 times reduced t, 1 times residual
• design 7-(30,10,763) (# 16013) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,763) (# 16015) : der= 6-(29,9,763) and res= 6-(29,10,3815) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,3815) (# 16016) : der= 6-(29,9,763) and res= 6-(29,10,3815) - the given design is the residual.

---

# 16015: 6-(29,9,763)

• clan: 8-(31,10,109), 1 times derived, 1 times residual
• derived from 7-(30,10,763) (# 16013)

---

# 16016: 6-(29,10,3815)

• clan: 8-(31,10,109), 2 times residual
• residual design of 7-(30,10,763) (# 16013)

---

# 16017: 6-(30,10,6048)

• clan: 8-(31,10,144), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,763) (# 16013) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1008) (# 16018) : der= 6-(29,9,1008) and res= 6-(29,10,5040) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5040) (# 16019) : der= 6-(29,9,1008) and res= 6-(29,10,5040) - the given design is the residual.

---

# 16018: 6-(29,9,1008)

• clan: 8-(31,10,144), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,763) (# 16013)

---

# 16019: 6-(29,10,5040)

• clan: 8-(31,10,144), 2 times residual
• residual design of supplementary of 7-(30,10,763) (# 16013)

---

# 16020: 5-(30,10,22890)

• clan: 8-(31,10,109), 2 times reduced t, 1 times residual
• design 6-(30,10,4578) (# 16014) with respect to smaller t
• supplementary design of 6-(30,10,6048) (# 16017) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,18312) (# 16021) : der= 5-(29,9,4578) and res= 5-(29,10,18312) - the given design is the residual.

---

# 16021: 5-(29,10,18312)

• clan: 8-(31,10,109), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,4578) (# 16014)
• design 6-(29,10,3815) (# 16016) with respect to smaller t
• residual design of supplementary of 6-(30,10,6048) (# 16017)
• supplementary design of 6-(29,10,5040) (# 16019) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,14497) (# 16027) : der= 5-(28,9,3815) and res= 5-(28,10,14497) - the given design is the residual.

---

# 16022: 5-(30,10,30240)

• clan: 8-(31,10,144), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,4578) (# 16014) with respect to smaller t
• design 6-(30,10,6048) (# 16017) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,9,6048) (# 16023) : der= 5-(29,9,6048) and res= 5-(29,10,24192) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,10,24192) (# 16024) : der= 5-(29,9,6048) and res= 5-(29,10,24192) - the given design is the residual.

---

# 16023: 5-(29,9,6048)

• clan: 8-(31,10,144), 1 times reduced t, 1 times derived, 1 times residual
• derived from supplementary of 6-(30,10,4578) (# 16014)
• supplementary design of 6-(29,9,763) (# 16015) with respect to smaller t
• derived from 6-(30,10,6048) (# 16017)
• design 6-(29,9,1008) (# 16018) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1008) (# 16025) : der= 5-(28,8,1008) and res= 5-(28,9,5040) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5040) (# 16026) : der= 5-(28,8,1008) and res= 5-(28,9,5040) - the given design is the residual.

---

# 16024: 5-(29,10,24192)

• clan: 8-(31,10,144), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,4578) (# 16014)
• supplementary design of 6-(29,10,3815) (# 16016) with respect to smaller t
• residual design of 6-(30,10,6048) (# 16017)
• design 6-(29,10,5040) (# 16019) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,9,5040) (# 16026) : der= 5-(28,9,5040) and res= 5-(28,10,19152) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,10,19152) (# 16028) : der= 5-(28,9,5040) and res= 5-(28,10,19152) - the given design is the residual.

---

# 16025: 5-(28,8,1008)

• clan: 8-(31,10,144), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,763) (# 16015)
• derived from 6-(29,9,1008) (# 16018)

---

# 16026: 5-(28,9,5040)

• clan: 8-(31,10,144), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,763) (# 16015)
• derived from supplementary of 6-(29,10,3815) (# 16016)
• residual design of 6-(29,9,1008) (# 16018)
• derived from 6-(29,10,5040) (# 16019)

---

# 16027: 5-(28,10,14497)

• clan: 8-(31,10,109), 3 times residual
• residual design of 6-(29,10,3815) (# 16016)
• residual design of supplementary of 6-(29,10,5040) (# 16019)

---

# 16028: 5-(28,10,19152)

• clan: 8-(31,10,144), 3 times residual
• residual design of supplementary of 6-(29,10,3815) (# 16016)
• residual design of 6-(29,10,5040) (# 16019)

---

# 16029: 7-(30,10,819)

• clan: 8-(31,10,117), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16030: 6-(30,10,5712)

• clan: 8-(31,10,136), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,819) (# 16029) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,952) (# 16031) : der= 6-(29,9,952) and res= 6-(29,10,4760) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,4760) (# 16032) : der= 6-(29,9,952) and res= 6-(29,10,4760) - the given design is the residual.

---

# 16031: 6-(29,9,952)

• clan: 8-(31,10,136), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,819) (# 16029)

---

# 16032: 6-(29,10,4760)

• clan: 8-(31,10,136), 2 times residual
• residual design of supplementary of 7-(30,10,819) (# 16029)

---

# 16033: 7-(30,10,847)

• clan: 21-(44,22,11), 12 times derived, 2 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16034: 6-(29,9,847)

• clan: 21-(44,22,11), 13 times derived, 2 times residual
• derived from 7-(30,10,847) (# 16033)

---

# 16035: 6-(29,10,4235)

• clan: 21-(44,22,11), 12 times derived, 3 times residual
• residual design of 7-(30,10,847) (# 16033)

---

# 16036: 6-(30,10,5544)

• clan: 21-(44,22,12), 1 times reduced t, 12 times derived, 2 times residual
• supplementary design of 7-(30,10,847) (# 16033) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,924) (# 16037) : der= 6-(29,9,924) and res= 6-(29,10,4620) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,4620) (# 16038) : der= 6-(29,9,924) and res= 6-(29,10,4620) - the given design is the residual.

---

# 16037: 6-(29,9,924)

• clan: 21-(44,22,12), 13 times derived, 2 times residual
• derived from supplementary of 7-(30,10,847) (# 16033)

---

# 16038: 6-(29,10,4620)

• clan: 21-(44,22,12), 12 times derived, 3 times residual
• residual design of supplementary of 7-(30,10,847) (# 16033)

---

# 16039: 5-(28,9,4620)

• clan: 21-(44,22,12), 13 times derived, 3 times residual
• residual design of supplementary of 6-(29,9,847) (# 16034)
• derived from supplementary of 6-(29,10,4235) (# 16035)
• residual design of 6-(29,9,924) (# 16037)
• derived from 6-(29,10,4620) (# 16038)

---

# 16040: 5-(28,10,16093)

• clan: 21-(44,22,11), 12 times derived, 4 times residual
• residual design of 6-(29,10,4235) (# 16035)
• residual design of supplementary of 6-(29,10,4620) (# 16038)

---

# 16041: 5-(28,10,17556)

• clan: 21-(44,22,12), 12 times derived, 4 times residual
• residual design of supplementary of 6-(29,10,4235) (# 16035)
• residual design of 6-(29,10,4620) (# 16038)

---

# 16042: 7-(30,10,861)

• clan: 8-(31,10,123), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16043: 6-(30,10,5460)

• clan: 8-(31,10,130), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,861) (# 16042) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,910) (# 16044) : der= 6-(29,9,910) and res= 6-(29,10,4550) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,4550) (# 16045) : der= 6-(29,9,910) and res= 6-(29,10,4550) - the given design is the residual.

---

# 16044: 6-(29,9,910)

• clan: 8-(31,10,130), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,861) (# 16042)

---

# 16045: 6-(29,10,4550)

• clan: 8-(31,10,130), 2 times residual
• residual design of supplementary of 7-(30,10,861) (# 16042)

---

# 16046: 7-(30,9,105)

• clan: 8-(31,10,105), 1 times derived
• $P\Gamma L(2,27)\times C_2$ (>= 2400) \cite{Bettenetal97b} % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16047: 6-(30,9,1184)

• clan: 8-(31,10,148), 1 times reduced t, 1 times derived
• supplementary design of 7-(30,9,105) (# 16046) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,148) (# 16048) : der= 6-(29,8,148) and res= 6-(29,9,1036) - the given design is the derived.
• derived from supplementary of 7-(31,10,840) (# 16049)

---

# 16048: 6-(29,8,148)

• clan: 8-(31,10,148), 2 times derived
• derived from supplementary of 7-(30,9,105) (# 16046)

---

# 16049: 7-(31,10,840)

• clan: 8-(31,10,105), 1 times reduced t
• Tran van Trung construction (right) for 7-(30,9,105) (# 16046) : der= 7-(30,9,105) and res= 7-(30,10,735) - the given design is the derived.

---

# 16050: 6-(31,10,7400)

• clan: 8-(31,10,148), 2 times reduced t
• Tran van Trung construction (right) for 6-(30,9,1184) (# 16047) : der= 6-(30,9,1184) and res= 6-(30,10,6216) - the given design is the derived.
• supplementary design of 7-(31,10,840) (# 16049) with respect to smaller t

---

# 16051: 7-(30,9,112)

• clan: 8-(31,10,112), 1 times derived
• $P\Gamma L(2,27)++$ (many) \cite{Bettenetal97b} % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16052: 6-(30,9,1128)

• clan: 8-(31,10,141), 1 times reduced t, 1 times derived
• supplementary design of 7-(30,9,112) (# 16051) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,141) (# 16053) : der= 6-(29,8,141) and res= 6-(29,9,987) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,987) (# 16054) : der= 6-(29,8,141) and res= 6-(29,9,987) - the given design is the residual.

---

# 16053: 6-(29,8,141)

• clan: 8-(31,10,141), 2 times derived
• derived from supplementary of 7-(30,9,112) (# 16051)

---

# 16054: 6-(29,9,987)

• clan: 8-(31,10,141), 1 times derived, 1 times residual
• residual design of supplementary of 7-(30,9,112) (# 16051)

---

# 16055: 7-(30,9,63)

• clan: 8-(31,10,63), 1 times derived
• $P\Gamma L(2,27)\times C_2$ (>= 5000 isomorphism types) % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16056: 6-(30,9,504)

• clan: 8-(31,10,63), 1 times reduced t, 1 times derived
• design 7-(30,9,63) (# 16055) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,9,441) (# 16057) : der= 6-(29,8,63) and res= 6-(29,9,441) - the given design is the residual.

---

# 16057: 6-(29,9,441)

• clan: 8-(31,10,63), 1 times derived, 1 times residual
• residual design of 7-(30,9,63) (# 16055)

---

# 16058: 6-(30,9,1520)

• clan: 8-(31,10,190), 1 times reduced t, 1 times derived
• supplementary design of 7-(30,9,63) (# 16055) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,190) (# 16059) : der= 6-(29,8,190) and res= 6-(29,9,1330) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,1330) (# 16060) : der= 6-(29,8,190) and res= 6-(29,9,1330) - the given design is the residual.

---

# 16059: 6-(29,8,190)

• clan: 8-(31,10,190), 2 times derived
• derived from supplementary of 7-(30,9,63) (# 16055)

---

# 16060: 6-(29,9,1330)

• clan: 8-(31,10,190), 1 times derived, 1 times residual
• residual design of supplementary of 7-(30,9,63) (# 16055)

---

# 16061: 5-(30,9,9500)

• clan: 8-(31,10,190), 2 times reduced t, 1 times derived
• supplementary design of 6-(30,9,504) (# 16056) with respect to smaller t
• design 6-(30,9,1520) (# 16058) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,9,7980) (# 16062) : der= 5-(29,8,1520) and res= 5-(29,9,7980) - the given design is the residual.

---

# 16062: 5-(29,9,7980)

• clan: 8-(31,10,190), 1 times reduced t, 1 times derived, 1 times residual
• residual design of supplementary of 6-(30,9,504) (# 16056)
• supplementary design of 6-(29,9,441) (# 16057) with respect to smaller t
• residual design of 6-(30,9,1520) (# 16058)
• design 6-(29,9,1330) (# 16060) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,6650) (# 16063) : der= 5-(28,8,1330) and res= 5-(28,9,6650) - the given design is the residual.

---

# 16063: 5-(28,9,6650)

• clan: 8-(31,10,190), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,441) (# 16057)
• residual design of 6-(29,9,1330) (# 16060)

---

# 16064: 7-(30,9,64)

• clan: 8-(31,10,64), 1 times derived
• $P\Gamma L(2,27)\times C_2$ (>= 9640 isomorphism types) % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 16065: 6-(30,9,1512)

• clan: 8-(31,10,189), 1 times reduced t, 1 times derived
• supplementary design of 7-(30,9,64) (# 16064) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,189) (# 16066) : der= 6-(29,8,189) and res= 6-(29,9,1323) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,1323) (# 16067) : der= 6-(29,8,189) and res= 6-(29,9,1323) - the given design is the residual.

---

# 16066: 6-(29,8,189)

• clan: 8-(31,10,189), 2 times derived
• derived from supplementary of 7-(30,9,64) (# 16064)

---

# 16067: 6-(29,9,1323)

• clan: 8-(31,10,189), 1 times derived, 1 times residual
• residual design of supplementary of 7-(30,9,64) (# 16064)

---

# 16068: 7-(31,10,480)

• clan: 8-(31,10,60), 1 times reduced t
• $PSL(3,5)$ ( >=10000000 isom. types)

---

# 16069: 6-(31,10,3000)

• clan: 8-(31,10,60), 2 times reduced t
• design 7-(31,10,480) (# 16068) with respect to smaller t
• Tran van Trung construction (right) for 6-(30,9,480) (# 16070) : der= 6-(30,9,480) and res= 6-(30,10,2520) - the given design is the derived.

---

# 16070: 6-(30,9,480)

• clan: 8-(31,10,60), 1 times reduced t, 1 times derived
• derived from 7-(31,10,480) (# 16068)

---

# 16071: 6-(31,10,9650)

• clan: 8-(31,10,193), 2 times reduced t
• supplementary design of 7-(31,10,480) (# 16068) with respect to smaller t
• Tran van Trung construction (right) for 6-(30,9,1544) (# 16072) : der= 6-(30,9,1544) and res= 6-(30,10,8106) - the given design is the derived.

---

# 16072: 6-(30,9,1544)

• clan: 8-(31,10,193), 1 times reduced t, 1 times derived
• derived from supplementary of 7-(31,10,480) (# 16068)

---

# 16073: 5-(31,10,50180)

• clan: 8-(31,10,193), 3 times reduced t
• supplementary design of 6-(31,10,3000) (# 16069) with respect to smaller t
• design 6-(31,10,9650) (# 16071) with respect to smaller t
• Tran van Trung construction (right) for 5-(30,9,9650) (# 16074) : der= 5-(30,9,9650) and res= 5-(30,10,40530) - the given design is the derived.

---

# 16074: 5-(30,9,9650)

• clan: 8-(31,10,193), 2 times reduced t, 1 times derived
• derived from supplementary of 6-(31,10,3000) (# 16069)
• supplementary design of 6-(30,9,480) (# 16070) with respect to smaller t
• derived from 6-(31,10,9650) (# 16071)
• design 6-(30,9,1544) (# 16072) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,8,1544) (# 16075) : der= 5-(29,8,1544) and res= 5-(29,9,8106) - the given design is the derived.

---

# 16075: 5-(29,8,1544)

• clan: 8-(31,10,193), 1 times reduced t, 2 times derived
• derived from supplementary of 6-(30,9,480) (# 16070)
• derived from 6-(30,9,1544) (# 16072)

---

# 16076: 7-(31,10,744)

• clan: 8-(31,10,93), 1 times reduced t
• $PSL(3,5)$ ( >=1 isom. types)
• design 8-(31,10,93) (# 18017) with respect to smaller t
• Tran van Trung construction (right) for 7-(30,9,93) (# 18018) : der= 7-(30,9,93) and res= 7-(30,10,651) - the given design is the derived.
• Tran van Trung construction (left) for 7-(30,10,651) (# 18019) : der= 7-(30,9,93) and res= 7-(30,10,651) - the given design is the residual.

---

# 16077: 6-(31,10,4650)

• clan: 8-(31,10,93), 2 times reduced t
• design 7-(31,10,744) (# 16076) with respect to smaller t
• Tran van Trung construction (right) for 6-(30,9,744) (# 16078) : der= 6-(30,9,744) and res= 6-(30,10,3906) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,10,3906) (# 16079) : der= 6-(30,9,744) and res= 6-(30,10,3906) - the given design is the residual.
• supplementary design of 7-(31,10,1280) (# 18020) with respect to smaller t

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# 16078: 6-(30,9,744)

• clan: 8-(31,10,93), 1 times reduced t, 1 times derived
• derived from 7-(31,10,744) (# 16076)
• design 7-(30,9,93) (# 18018) with respect to smaller t
• derived from supplementary of 7-(31,10,1280) (# 18020)
• supplementary design of 7-(30,9,160) (# 18021) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,93) (# 18023) : der= 6-(29,8,93) and res= 6-(29,9,651) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,651) (# 18024) : der= 6-(29,8,93) and res= 6-(29,9,651) - the given design is the residual.

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# 16079: 6-(30,10,3906)

• clan: 8-(31,10,93), 1 times reduced t, 1 times residual
• residual design of 7-(31,10,744) (# 16076)
• design 7-(30,10,651) (# 18019) with respect to smaller t
• residual design of supplementary of 7-(31,10,1280) (# 18020)
• supplementary design of 7-(30,10,1120) (# 18022) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,651) (# 18024) : der= 6-(29,9,651) and res= 6-(29,10,3255) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,3255) (# 18027) : der= 6-(29,9,651) and res= 6-(29,10,3255) - the given design is the residual.

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# 16080: 6-(31,10,8000)

• clan: 8-(31,10,160), 2 times reduced t
• supplementary design of 7-(31,10,744) (# 16076) with respect to smaller t
• Tran van Trung construction (right) for 6-(30,9,1280) (# 16081) : der= 6-(30,9,1280) and res= 6-(30,10,6720) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,10,6720) (# 16082) : der= 6-(30,9,1280) and res= 6-(30,10,6720) - the given design is the residual.
• design 7-(31,10,1280) (# 18020) with respect to smaller t

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# 16081: 6-(30,9,1280)

• clan: 8-(31,10,160), 1 times reduced t, 1 times derived
• derived from supplementary of 7-(31,10,744) (# 16076)
• supplementary design of 7-(30,9,93) (# 18018) with respect to smaller t
• derived from 7-(31,10,1280) (# 18020)
• design 7-(30,9,160) (# 18021) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,160) (# 18025) : der= 6-(29,8,160) and res= 6-(29,9,1120) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,1120) (# 18026) : der= 6-(29,8,160) and res= 6-(29,9,1120) - the given design is the residual.

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# 16082: 6-(30,10,6720)

• clan: 8-(31,10,160), 1 times reduced t, 1 times residual
• residual design of supplementary of 7-(31,10,744) (# 16076)
• supplementary design of 7-(30,10,651) (# 18019) with respect to smaller t
• residual design of 7-(31,10,1280) (# 18020)
• design 7-(30,10,1120) (# 18022) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1120) (# 18026) : der= 6-(29,9,1120) and res= 6-(29,10,5600) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5600) (# 18028) : der= 6-(29,9,1120) and res= 6-(29,10,5600) - the given design is the residual.

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# 16083: 5-(31,10,24180)

• clan: 8-(31,10,93), 3 times reduced t
• design 6-(31,10,4650) (# 16077) with respect to smaller t
• supplementary design of 6-(31,10,8000) (# 16080) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,10,19530) (# 16084) : der= 5-(30,9,4650) and res= 5-(30,10,19530) - the given design is the residual.

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# 16084: 5-(30,10,19530)

• clan: 8-(31,10,93), 2 times reduced t, 1 times residual
• residual design of 6-(31,10,4650) (# 16077)
• design 6-(30,10,3906) (# 16079) with respect to smaller t
• residual design of supplementary of 6-(31,10,8000) (# 16080)
• supplementary design of 6-(30,10,6720) (# 16082) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,15624) (# 16090) : der= 5-(29,9,3906) and res= 5-(29,10,15624) - the given design is the residual.

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# 16085: 5-(31,10,41600)

• clan: 8-(31,10,160), 3 times reduced t
• supplementary design of 6-(31,10,4650) (# 16077) with respect to smaller t
• design 6-(31,10,8000) (# 16080) with respect to smaller t
• Tran van Trung construction (right) for 5-(30,9,8000) (# 16086) : der= 5-(30,9,8000) and res= 5-(30,10,33600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,10,33600) (# 16087) : der= 5-(30,9,8000) and res= 5-(30,10,33600) - the given design is the residual.

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# 16086: 5-(30,9,8000)

• clan: 8-(31,10,160), 2 times reduced t, 1 times derived
• derived from supplementary of 6-(31,10,4650) (# 16077)
• supplementary design of 6-(30,9,744) (# 16078) with respect to smaller t
• derived from 6-(31,10,8000) (# 16080)
• design 6-(30,9,1280) (# 16081) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,8,1280) (# 16088) : der= 5-(29,8,1280) and res= 5-(29,9,6720) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,9,6720) (# 16089) : der= 5-(29,8,1280) and res= 5-(29,9,6720) - the given design is the residual.

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# 16087: 5-(30,10,33600)

• clan: 8-(31,10,160), 2 times reduced t, 1 times residual
• residual design of supplementary of 6-(31,10,4650) (# 16077)
• supplementary design of 6-(30,10,3906) (# 16079) with respect to smaller t
• residual design of 6-(31,10,8000) (# 16080)
• design 6-(30,10,6720) (# 16082) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,9,6720) (# 16089) : der= 5-(29,9,6720) and res= 5-(29,10,26880) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,10,26880) (# 16091) : der= 5-(29,9,6720) and res= 5-(29,10,26880) - the given design is the residual.

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# 16088: 5-(29,8,1280)

• clan: 8-(31,10,160), 1 times reduced t, 2 times derived
• derived from supplementary of 6-(30,9,744) (# 16078)
• derived from 6-(30,9,1280) (# 16081)
• supplementary design of 6-(29,8,93) (# 18023) with respect to smaller t
• design 6-(29,8,160) (# 18025) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,160) (# 18029) : der= 5-(28,7,160) and res= 5-(28,8,1120) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1120) (# 18030) : der= 5-(28,7,160) and res= 5-(28,8,1120) - the given design is the residual.

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# 16089: 5-(29,9,6720)

• clan: 8-(31,10,160), 1 times reduced t, 1 times derived, 1 times residual
• residual design of supplementary of 6-(30,9,744) (# 16078)
• derived from supplementary of 6-(30,10,3906) (# 16079)
• residual design of 6-(30,9,1280) (# 16081)
• derived from 6-(30,10,6720) (# 16082)
• supplementary design of 6-(29,9,651) (# 18024) with respect to smaller t
• design 6-(29,9,1120) (# 18026) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1120) (# 18030) : der= 5-(28,8,1120) and res= 5-(28,9,5600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5600) (# 18031) : der= 5-(28,8,1120) and res= 5-(28,9,5600) - the given design is the residual.

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# 16090: 5-(29,10,15624)

• clan: 8-(31,10,93), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,3906) (# 16079)
• residual design of supplementary of 6-(30,10,6720) (# 16082)
• design 6-(29,10,3255) (# 18027) with respect to smaller t
• supplementary design of 6-(29,10,5600) (# 18028) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,12369) (# 18032) : der= 5-(28,9,3255) and res= 5-(28,10,12369) - the given design is the residual.

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# 16091: 5-(29,10,26880)

• clan: 8-(31,10,160), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,3906) (# 16079)
• residual design of 6-(30,10,6720) (# 16082)
• supplementary design of 6-(29,10,3255) (# 18027) with respect to smaller t
• design 6-(29,10,5600) (# 18028) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,9,5600) (# 18031) : der= 5-(28,9,5600) and res= 5-(28,10,21280) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,10,21280) (# 18033) : der= 5-(28,9,5600) and res= 5-(28,10,21280) - the given design is the residual.

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# 16092: 7-(31,10,800)

• clan: 8-(31,10,100), 1 times reduced t
• $PSL(3,5)$ ( >=1 isom. types)
• design 8-(31,10,100) (# 18000) with respect to smaller t
• Tran van Trung construction (right) for 7-(30,9,100) (# 18001) : der= 7-(30,9,100) and res= 7-(30,10,700) - the given design is the derived.
• Tran van Trung construction (left) for 7-(30,10,700) (# 18002) : der= 7-(30,9,100) and res= 7-(30,10,700) - the given design is the residual.

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# 16093: 6-(31,10,5000)

• clan: 8-(31,10,100), 2 times reduced t
• design 7-(31,10,800) (# 16092) with respect to smaller t
• Tran van Trung construction (right) for 6-(30,9,800) (# 16094) : der= 6-(30,9,800) and res= 6-(30,10,4200) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,10,4200) (# 16095) : der= 6-(30,9,800) and res= 6-(30,10,4200) - the given design is the residual.
• supplementary design of 7-(31,10,1224) (# 18003) with respect to smaller t

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# 16094: 6-(30,9,800)

• clan: 8-(31,10,100), 1 times reduced t, 1 times derived
• derived from 7-(31,10,800) (# 16092)
• design 7-(30,9,100) (# 18001) with respect to smaller t
• derived from supplementary of 7-(31,10,1224) (# 18003)
• supplementary design of 7-(30,9,153) (# 18004) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,100) (# 18006) : der= 6-(29,8,100) and res= 6-(29,9,700) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,700) (# 18007) : der= 6-(29,8,100) and res= 6-(29,9,700) - the given design is the residual.

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# 16095: 6-(30,10,4200)

• clan: 8-(31,10,100), 1 times reduced t, 1 times residual
• residual design of 7-(31,10,800) (# 16092)
• design 7-(30,10,700) (# 18002) with respect to smaller t
• residual design of supplementary of 7-(31,10,1224) (# 18003)
• supplementary design of 7-(30,10,1071) (# 18005) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,700) (# 18007) : der= 6-(29,9,700) and res= 6-(29,10,3500) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,3500) (# 18010) : der= 6-(29,9,700) and res= 6-(29,10,3500) - the given design is the residual.

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# 16096: 6-(31,10,7650)

• clan: 8-(31,10,153), 2 times reduced t
• supplementary design of 7-(31,10,800) (# 16092) with respect to smaller t
• Tran van Trung construction (right) for 6-(30,9,1224) (# 16097) : der= 6-(30,9,1224) and res= 6-(30,10,6426) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,10,6426) (# 16098) : der= 6-(30,9,1224) and res= 6-(30,10,6426) - the given design is the residual.
• design 7-(31,10,1224) (# 18003) with respect to smaller t

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# 16097: 6-(30,9,1224)

• clan: 8-(31,10,153), 1 times reduced t, 1 times derived
• derived from supplementary of 7-(31,10,800) (# 16092)
• supplementary design of 7-(30,9,100) (# 18001) with respect to smaller t
• derived from 7-(31,10,1224) (# 18003)
• design 7-(30,9,153) (# 18004) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,8,153) (# 18008) : der= 6-(29,8,153) and res= 6-(29,9,1071) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,9,1071) (# 18009) : der= 6-(29,8,153) and res= 6-(29,9,1071) - the given design is the residual.

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# 16098: 6-(30,10,6426)

• clan: 8-(31,10,153), 1 times reduced t, 1 times residual
• residual design of supplementary of 7-(31,10,800) (# 16092)
• supplementary design of 7-(30,10,700) (# 18002) with respect to smaller t
• residual design of 7-(31,10,1224) (# 18003)
• design 7-(30,10,1071) (# 18005) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1071) (# 18009) : der= 6-(29,9,1071) and res= 6-(29,10,5355) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5355) (# 18011) : der= 6-(29,9,1071) and res= 6-(29,10,5355) - the given design is the residual.

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# 16099: 5-(31,10,26000)

• clan: 8-(31,10,100), 3 times reduced t
• design 6-(31,10,5000) (# 16093) with respect to smaller t
• supplementary design of 6-(31,10,7650) (# 16096) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,10,21000) (# 16100) : der= 5-(30,9,5000) and res= 5-(30,10,21000) - the given design is the residual.

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created: Fri Oct 23 11:14:10 CEST 2009