t designs with small t, id ge 17000

# 17000: 6-(35,10,17136)

clan: 8-(37,12,17136), 2 times derived
derived from supplementary of 7-(36,11,6615) (# 16995)

# 17001: 6-(35,11,85680)

clan: 8-(37,12,17136), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,6615) (# 16995)

# 17002: 5-(36,11,205065)

clan: 8-(37,12,6615), 2 times reduced t, 1 times derived
design 6-(36,11,39690) (# 16996) with respect to smaller t
supplementary design of 6-(36,11,102816) (# 16999) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,39690) (# 17003) : der= 5-(35,10,39690) and res= 5-(35,11,165375) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,165375) (# 17004) : der= 5-(35,10,39690) and res= 5-(35,11,165375) - the given design is the residual.

# 17003: 5-(35,10,39690)

clan: 8-(37,12,6615), 1 times reduced t, 2 times derived
derived from 6-(36,11,39690) (# 16996)
design 6-(35,10,6615) (# 16997) with respect to smaller t
derived from supplementary of 6-(36,11,102816) (# 16999)
supplementary design of 6-(35,10,17136) (# 17000) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,6615) (# 17008) : der= 5-(34,9,6615) and res= 5-(34,10,33075) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,33075) (# 17009) : der= 5-(34,9,6615) and res= 5-(34,10,33075) - the given design is the residual.

# 17004: 5-(35,11,165375)

clan: 8-(37,12,6615), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,39690) (# 16996)
design 6-(35,11,33075) (# 16998) with respect to smaller t
residual design of supplementary of 6-(36,11,102816) (# 16999)
supplementary design of 6-(35,11,85680) (# 17001) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,33075) (# 17009) : der= 5-(34,10,33075) and res= 5-(34,11,132300) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,132300) (# 17012) : der= 5-(34,10,33075) and res= 5-(34,11,132300) - the given design is the residual.

# 17005: 5-(36,11,531216)

clan: 8-(37,12,17136), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,39690) (# 16996) with respect to smaller t
design 6-(36,11,102816) (# 16999) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,102816) (# 17006) : der= 5-(35,10,102816) and res= 5-(35,11,428400) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,428400) (# 17007) : der= 5-(35,10,102816) and res= 5-(35,11,428400) - the given design is the residual.

# 17006: 5-(35,10,102816)

clan: 8-(37,12,17136), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,39690) (# 16996)
supplementary design of 6-(35,10,6615) (# 16997) with respect to smaller t
derived from 6-(36,11,102816) (# 16999)
design 6-(35,10,17136) (# 17000) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,17136) (# 17010) : der= 5-(34,9,17136) and res= 5-(34,10,85680) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,85680) (# 17011) : der= 5-(34,9,17136) and res= 5-(34,10,85680) - the given design is the residual.

# 17007: 5-(35,11,428400)

clan: 8-(37,12,17136), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,39690) (# 16996)
supplementary design of 6-(35,11,33075) (# 16998) with respect to smaller t
residual design of 6-(36,11,102816) (# 16999)
design 6-(35,11,85680) (# 17001) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,85680) (# 17011) : der= 5-(34,10,85680) and res= 5-(34,11,342720) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,342720) (# 17013) : der= 5-(34,10,85680) and res= 5-(34,11,342720) - the given design is the residual.

# 17008: 5-(34,9,6615)

clan: 8-(37,12,6615), 3 times derived
derived from 6-(35,10,6615) (# 16997)
derived from supplementary of 6-(35,10,17136) (# 17000)

# 17009: 5-(34,10,33075)

clan: 8-(37,12,6615), 2 times derived, 1 times residual
residual design of 6-(35,10,6615) (# 16997)
derived from 6-(35,11,33075) (# 16998)
residual design of supplementary of 6-(35,10,17136) (# 17000)
derived from supplementary of 6-(35,11,85680) (# 17001)

# 17010: 5-(34,9,17136)

clan: 8-(37,12,17136), 3 times derived
derived from supplementary of 6-(35,10,6615) (# 16997)
derived from 6-(35,10,17136) (# 17000)

# 17011: 5-(34,10,85680)

clan: 8-(37,12,17136), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,6615) (# 16997)
derived from supplementary of 6-(35,11,33075) (# 16998)
residual design of 6-(35,10,17136) (# 17000)
derived from 6-(35,11,85680) (# 17001)

# 17012: 5-(34,11,132300)

clan: 8-(37,12,6615), 1 times derived, 2 times residual
residual design of 6-(35,11,33075) (# 16998)
residual design of supplementary of 6-(35,11,85680) (# 17001)

# 17013: 5-(34,11,342720)

clan: 8-(37,12,17136), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,33075) (# 16998)
residual design of 6-(35,11,85680) (# 17001)

# 17014: 7-(36,11,6720)

clan: 8-(37,12,6720), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17015: 6-(36,11,40320)

clan: 8-(37,12,6720), 1 times reduced t, 1 times derived
design 7-(36,11,6720) (# 17014) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,6720) (# 17016) : der= 6-(35,10,6720) and res= 6-(35,11,33600) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,33600) (# 17017) : der= 6-(35,10,6720) and res= 6-(35,11,33600) - the given design is the residual.

# 17016: 6-(35,10,6720)

clan: 8-(37,12,6720), 2 times derived
derived from 7-(36,11,6720) (# 17014)

# 17017: 6-(35,11,33600)

clan: 8-(37,12,6720), 1 times derived, 1 times residual
residual design of 7-(36,11,6720) (# 17014)

# 17018: 6-(36,11,102186)

clan: 8-(37,12,17031), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,6720) (# 17014) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,17031) (# 17019) : der= 6-(35,10,17031) and res= 6-(35,11,85155) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,85155) (# 17020) : der= 6-(35,10,17031) and res= 6-(35,11,85155) - the given design is the residual.

# 17019: 6-(35,10,17031)

clan: 8-(37,12,17031), 2 times derived
derived from supplementary of 7-(36,11,6720) (# 17014)

# 17020: 6-(35,11,85155)

clan: 8-(37,12,17031), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,6720) (# 17014)

# 17021: 5-(36,11,208320)

clan: 8-(37,12,6720), 2 times reduced t, 1 times derived
design 6-(36,11,40320) (# 17015) with respect to smaller t
supplementary design of 6-(36,11,102186) (# 17018) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,40320) (# 17022) : der= 5-(35,10,40320) and res= 5-(35,11,168000) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,168000) (# 17023) : der= 5-(35,10,40320) and res= 5-(35,11,168000) - the given design is the residual.

# 17022: 5-(35,10,40320)

clan: 8-(37,12,6720), 1 times reduced t, 2 times derived
derived from 6-(36,11,40320) (# 17015)
design 6-(35,10,6720) (# 17016) with respect to smaller t
derived from supplementary of 6-(36,11,102186) (# 17018)
supplementary design of 6-(35,10,17031) (# 17019) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,6720) (# 17027) : der= 5-(34,9,6720) and res= 5-(34,10,33600) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,33600) (# 17028) : der= 5-(34,9,6720) and res= 5-(34,10,33600) - the given design is the residual.

# 17023: 5-(35,11,168000)

clan: 8-(37,12,6720), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,40320) (# 17015)
design 6-(35,11,33600) (# 17017) with respect to smaller t
residual design of supplementary of 6-(36,11,102186) (# 17018)
supplementary design of 6-(35,11,85155) (# 17020) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,33600) (# 17028) : der= 5-(34,10,33600) and res= 5-(34,11,134400) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,134400) (# 17031) : der= 5-(34,10,33600) and res= 5-(34,11,134400) - the given design is the residual.

# 17024: 5-(36,11,527961)

clan: 8-(37,12,17031), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,40320) (# 17015) with respect to smaller t
design 6-(36,11,102186) (# 17018) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,102186) (# 17025) : der= 5-(35,10,102186) and res= 5-(35,11,425775) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,425775) (# 17026) : der= 5-(35,10,102186) and res= 5-(35,11,425775) - the given design is the residual.

# 17025: 5-(35,10,102186)

clan: 8-(37,12,17031), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,40320) (# 17015)
supplementary design of 6-(35,10,6720) (# 17016) with respect to smaller t
derived from 6-(36,11,102186) (# 17018)
design 6-(35,10,17031) (# 17019) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,17031) (# 17029) : der= 5-(34,9,17031) and res= 5-(34,10,85155) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,85155) (# 17030) : der= 5-(34,9,17031) and res= 5-(34,10,85155) - the given design is the residual.

# 17026: 5-(35,11,425775)

clan: 8-(37,12,17031), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,40320) (# 17015)
supplementary design of 6-(35,11,33600) (# 17017) with respect to smaller t
residual design of 6-(36,11,102186) (# 17018)
design 6-(35,11,85155) (# 17020) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,85155) (# 17030) : der= 5-(34,10,85155) and res= 5-(34,11,340620) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,340620) (# 17032) : der= 5-(34,10,85155) and res= 5-(34,11,340620) - the given design is the residual.

# 17027: 5-(34,9,6720)

clan: 8-(37,12,6720), 3 times derived
derived from 6-(35,10,6720) (# 17016)
derived from supplementary of 6-(35,10,17031) (# 17019)

# 17028: 5-(34,10,33600)

clan: 8-(37,12,6720), 2 times derived, 1 times residual
residual design of 6-(35,10,6720) (# 17016)
derived from 6-(35,11,33600) (# 17017)
residual design of supplementary of 6-(35,10,17031) (# 17019)
derived from supplementary of 6-(35,11,85155) (# 17020)

# 17029: 5-(34,9,17031)

clan: 8-(37,12,17031), 3 times derived
derived from supplementary of 6-(35,10,6720) (# 17016)
derived from 6-(35,10,17031) (# 17019)

# 17030: 5-(34,10,85155)

clan: 8-(37,12,17031), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,6720) (# 17016)
derived from supplementary of 6-(35,11,33600) (# 17017)
residual design of 6-(35,10,17031) (# 17019)
derived from 6-(35,11,85155) (# 17020)

# 17031: 5-(34,11,134400)

clan: 8-(37,12,6720), 1 times derived, 2 times residual
residual design of 6-(35,11,33600) (# 17017)
residual design of supplementary of 6-(35,11,85155) (# 17020)

# 17032: 5-(34,11,340620)

clan: 8-(37,12,17031), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,33600) (# 17017)
residual design of 6-(35,11,85155) (# 17020)

# 17033: 7-(36,11,7056)

clan: 8-(37,12,7056), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17034: 6-(36,11,42336)

clan: 8-(37,12,7056), 1 times reduced t, 1 times derived
design 7-(36,11,7056) (# 17033) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,7056) (# 17035) : der= 6-(35,10,7056) and res= 6-(35,11,35280) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,35280) (# 17036) : der= 6-(35,10,7056) and res= 6-(35,11,35280) - the given design is the residual.

# 17035: 6-(35,10,7056)

clan: 8-(37,12,7056), 2 times derived
derived from 7-(36,11,7056) (# 17033)

# 17036: 6-(35,11,35280)

clan: 8-(37,12,7056), 1 times derived, 1 times residual
residual design of 7-(36,11,7056) (# 17033)

# 17037: 6-(36,11,100170)

clan: 8-(37,12,16695), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,7056) (# 17033) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,16695) (# 17038) : der= 6-(35,10,16695) and res= 6-(35,11,83475) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,83475) (# 17039) : der= 6-(35,10,16695) and res= 6-(35,11,83475) - the given design is the residual.

# 17038: 6-(35,10,16695)

clan: 8-(37,12,16695), 2 times derived
derived from supplementary of 7-(36,11,7056) (# 17033)

# 17039: 6-(35,11,83475)

clan: 8-(37,12,16695), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,7056) (# 17033)

# 17040: 5-(36,11,218736)

clan: 8-(37,12,7056), 2 times reduced t, 1 times derived
design 6-(36,11,42336) (# 17034) with respect to smaller t
supplementary design of 6-(36,11,100170) (# 17037) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,42336) (# 17041) : der= 5-(35,10,42336) and res= 5-(35,11,176400) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,176400) (# 17042) : der= 5-(35,10,42336) and res= 5-(35,11,176400) - the given design is the residual.

# 17041: 5-(35,10,42336)

clan: 8-(37,12,7056), 1 times reduced t, 2 times derived
derived from 6-(36,11,42336) (# 17034)
design 6-(35,10,7056) (# 17035) with respect to smaller t
derived from supplementary of 6-(36,11,100170) (# 17037)
supplementary design of 6-(35,10,16695) (# 17038) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,7056) (# 17046) : der= 5-(34,9,7056) and res= 5-(34,10,35280) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,35280) (# 17047) : der= 5-(34,9,7056) and res= 5-(34,10,35280) - the given design is the residual.

# 17042: 5-(35,11,176400)

clan: 8-(37,12,7056), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,42336) (# 17034)
design 6-(35,11,35280) (# 17036) with respect to smaller t
residual design of supplementary of 6-(36,11,100170) (# 17037)
supplementary design of 6-(35,11,83475) (# 17039) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,35280) (# 17047) : der= 5-(34,10,35280) and res= 5-(34,11,141120) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,141120) (# 17050) : der= 5-(34,10,35280) and res= 5-(34,11,141120) - the given design is the residual.

# 17043: 5-(36,11,517545)

clan: 8-(37,12,16695), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,42336) (# 17034) with respect to smaller t
design 6-(36,11,100170) (# 17037) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,100170) (# 17044) : der= 5-(35,10,100170) and res= 5-(35,11,417375) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,417375) (# 17045) : der= 5-(35,10,100170) and res= 5-(35,11,417375) - the given design is the residual.

# 17044: 5-(35,10,100170)

clan: 8-(37,12,16695), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,42336) (# 17034)
supplementary design of 6-(35,10,7056) (# 17035) with respect to smaller t
derived from 6-(36,11,100170) (# 17037)
design 6-(35,10,16695) (# 17038) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,16695) (# 17048) : der= 5-(34,9,16695) and res= 5-(34,10,83475) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,83475) (# 17049) : der= 5-(34,9,16695) and res= 5-(34,10,83475) - the given design is the residual.

# 17045: 5-(35,11,417375)

clan: 8-(37,12,16695), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,42336) (# 17034)
supplementary design of 6-(35,11,35280) (# 17036) with respect to smaller t
residual design of 6-(36,11,100170) (# 17037)
design 6-(35,11,83475) (# 17039) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,83475) (# 17049) : der= 5-(34,10,83475) and res= 5-(34,11,333900) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,333900) (# 17051) : der= 5-(34,10,83475) and res= 5-(34,11,333900) - the given design is the residual.

# 17046: 5-(34,9,7056)

clan: 8-(37,12,7056), 3 times derived
derived from 6-(35,10,7056) (# 17035)
derived from supplementary of 6-(35,10,16695) (# 17038)

# 17047: 5-(34,10,35280)

clan: 8-(37,12,7056), 2 times derived, 1 times residual
residual design of 6-(35,10,7056) (# 17035)
derived from 6-(35,11,35280) (# 17036)
residual design of supplementary of 6-(35,10,16695) (# 17038)
derived from supplementary of 6-(35,11,83475) (# 17039)

# 17048: 5-(34,9,16695)

clan: 8-(37,12,16695), 3 times derived
derived from supplementary of 6-(35,10,7056) (# 17035)
derived from 6-(35,10,16695) (# 17038)

# 17049: 5-(34,10,83475)

clan: 8-(37,12,16695), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,7056) (# 17035)
derived from supplementary of 6-(35,11,35280) (# 17036)
residual design of 6-(35,10,16695) (# 17038)
derived from 6-(35,11,83475) (# 17039)

# 17050: 5-(34,11,141120)

clan: 8-(37,12,7056), 1 times derived, 2 times residual
residual design of 6-(35,11,35280) (# 17036)
residual design of supplementary of 6-(35,11,83475) (# 17039)

# 17051: 5-(34,11,333900)

clan: 8-(37,12,16695), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,35280) (# 17036)
residual design of 6-(35,11,83475) (# 17039)

# 17052: 7-(36,11,7455)

clan: 8-(37,12,7455), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17053: 6-(36,11,44730)

clan: 8-(37,12,7455), 1 times reduced t, 1 times derived
design 7-(36,11,7455) (# 17052) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,7455) (# 17054) : der= 6-(35,10,7455) and res= 6-(35,11,37275) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,37275) (# 17055) : der= 6-(35,10,7455) and res= 6-(35,11,37275) - the given design is the residual.

# 17054: 6-(35,10,7455)

clan: 8-(37,12,7455), 2 times derived
derived from 7-(36,11,7455) (# 17052)

# 17055: 6-(35,11,37275)

clan: 8-(37,12,7455), 1 times derived, 1 times residual
residual design of 7-(36,11,7455) (# 17052)

# 17056: 6-(36,11,97776)

clan: 8-(37,12,16296), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,7455) (# 17052) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,16296) (# 17057) : der= 6-(35,10,16296) and res= 6-(35,11,81480) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,81480) (# 17058) : der= 6-(35,10,16296) and res= 6-(35,11,81480) - the given design is the residual.

# 17057: 6-(35,10,16296)

clan: 8-(37,12,16296), 2 times derived
derived from supplementary of 7-(36,11,7455) (# 17052)

# 17058: 6-(35,11,81480)

clan: 8-(37,12,16296), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,7455) (# 17052)

# 17059: 5-(36,11,231105)

clan: 8-(37,12,7455), 2 times reduced t, 1 times derived
design 6-(36,11,44730) (# 17053) with respect to smaller t
supplementary design of 6-(36,11,97776) (# 17056) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,44730) (# 17060) : der= 5-(35,10,44730) and res= 5-(35,11,186375) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,186375) (# 17061) : der= 5-(35,10,44730) and res= 5-(35,11,186375) - the given design is the residual.

# 17060: 5-(35,10,44730)

clan: 8-(37,12,7455), 1 times reduced t, 2 times derived
derived from 6-(36,11,44730) (# 17053)
design 6-(35,10,7455) (# 17054) with respect to smaller t
derived from supplementary of 6-(36,11,97776) (# 17056)
supplementary design of 6-(35,10,16296) (# 17057) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,7455) (# 17065) : der= 5-(34,9,7455) and res= 5-(34,10,37275) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,37275) (# 17066) : der= 5-(34,9,7455) and res= 5-(34,10,37275) - the given design is the residual.

# 17061: 5-(35,11,186375)

clan: 8-(37,12,7455), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,44730) (# 17053)
design 6-(35,11,37275) (# 17055) with respect to smaller t
residual design of supplementary of 6-(36,11,97776) (# 17056)
supplementary design of 6-(35,11,81480) (# 17058) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,37275) (# 17066) : der= 5-(34,10,37275) and res= 5-(34,11,149100) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,149100) (# 17069) : der= 5-(34,10,37275) and res= 5-(34,11,149100) - the given design is the residual.

# 17062: 5-(36,11,505176)

clan: 8-(37,12,16296), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,44730) (# 17053) with respect to smaller t
design 6-(36,11,97776) (# 17056) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,97776) (# 17063) : der= 5-(35,10,97776) and res= 5-(35,11,407400) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,407400) (# 17064) : der= 5-(35,10,97776) and res= 5-(35,11,407400) - the given design is the residual.

# 17063: 5-(35,10,97776)

clan: 8-(37,12,16296), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,44730) (# 17053)
supplementary design of 6-(35,10,7455) (# 17054) with respect to smaller t
derived from 6-(36,11,97776) (# 17056)
design 6-(35,10,16296) (# 17057) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,16296) (# 17067) : der= 5-(34,9,16296) and res= 5-(34,10,81480) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,81480) (# 17068) : der= 5-(34,9,16296) and res= 5-(34,10,81480) - the given design is the residual.

# 17064: 5-(35,11,407400)

clan: 8-(37,12,16296), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,44730) (# 17053)
supplementary design of 6-(35,11,37275) (# 17055) with respect to smaller t
residual design of 6-(36,11,97776) (# 17056)
design 6-(35,11,81480) (# 17058) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,81480) (# 17068) : der= 5-(34,10,81480) and res= 5-(34,11,325920) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,325920) (# 17070) : der= 5-(34,10,81480) and res= 5-(34,11,325920) - the given design is the residual.

# 17065: 5-(34,9,7455)

clan: 8-(37,12,7455), 3 times derived
derived from 6-(35,10,7455) (# 17054)
derived from supplementary of 6-(35,10,16296) (# 17057)

# 17066: 5-(34,10,37275)

clan: 8-(37,12,7455), 2 times derived, 1 times residual
residual design of 6-(35,10,7455) (# 17054)
derived from 6-(35,11,37275) (# 17055)
residual design of supplementary of 6-(35,10,16296) (# 17057)
derived from supplementary of 6-(35,11,81480) (# 17058)

# 17067: 5-(34,9,16296)

clan: 8-(37,12,16296), 3 times derived
derived from supplementary of 6-(35,10,7455) (# 17054)
derived from 6-(35,10,16296) (# 17057)

# 17068: 5-(34,10,81480)

clan: 8-(37,12,16296), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,7455) (# 17054)
derived from supplementary of 6-(35,11,37275) (# 17055)
residual design of 6-(35,10,16296) (# 17057)
derived from 6-(35,11,81480) (# 17058)

# 17069: 5-(34,11,149100)

clan: 8-(37,12,7455), 1 times derived, 2 times residual
residual design of 6-(35,11,37275) (# 17055)
residual design of supplementary of 6-(35,11,81480) (# 17058)

# 17070: 5-(34,11,325920)

clan: 8-(37,12,16296), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,37275) (# 17055)
residual design of 6-(35,11,81480) (# 17058)

# 17071: 7-(36,11,7560)

clan: 8-(37,12,7560), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17072: 6-(36,11,45360)

clan: 8-(37,12,7560), 1 times reduced t, 1 times derived
design 7-(36,11,7560) (# 17071) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,7560) (# 17073) : der= 6-(35,10,7560) and res= 6-(35,11,37800) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,37800) (# 17074) : der= 6-(35,10,7560) and res= 6-(35,11,37800) - the given design is the residual.

# 17073: 6-(35,10,7560)

clan: 8-(37,12,7560), 2 times derived
derived from 7-(36,11,7560) (# 17071)

# 17074: 6-(35,11,37800)

clan: 8-(37,12,7560), 1 times derived, 1 times residual
residual design of 7-(36,11,7560) (# 17071)

# 17075: 6-(36,11,97146)

clan: 8-(37,12,16191), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,7560) (# 17071) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,16191) (# 17076) : der= 6-(35,10,16191) and res= 6-(35,11,80955) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,80955) (# 17077) : der= 6-(35,10,16191) and res= 6-(35,11,80955) - the given design is the residual.

# 17076: 6-(35,10,16191)

clan: 8-(37,12,16191), 2 times derived
derived from supplementary of 7-(36,11,7560) (# 17071)

# 17077: 6-(35,11,80955)

clan: 8-(37,12,16191), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,7560) (# 17071)

# 17078: 5-(36,11,234360)

clan: 8-(37,12,7560), 2 times reduced t, 1 times derived
design 6-(36,11,45360) (# 17072) with respect to smaller t
supplementary design of 6-(36,11,97146) (# 17075) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,45360) (# 17079) : der= 5-(35,10,45360) and res= 5-(35,11,189000) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,189000) (# 17080) : der= 5-(35,10,45360) and res= 5-(35,11,189000) - the given design is the residual.

# 17079: 5-(35,10,45360)

clan: 8-(37,12,7560), 1 times reduced t, 2 times derived
derived from 6-(36,11,45360) (# 17072)
design 6-(35,10,7560) (# 17073) with respect to smaller t
derived from supplementary of 6-(36,11,97146) (# 17075)
supplementary design of 6-(35,10,16191) (# 17076) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,7560) (# 17084) : der= 5-(34,9,7560) and res= 5-(34,10,37800) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,37800) (# 17085) : der= 5-(34,9,7560) and res= 5-(34,10,37800) - the given design is the residual.

# 17080: 5-(35,11,189000)

clan: 8-(37,12,7560), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,45360) (# 17072)
design 6-(35,11,37800) (# 17074) with respect to smaller t
residual design of supplementary of 6-(36,11,97146) (# 17075)
supplementary design of 6-(35,11,80955) (# 17077) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,37800) (# 17085) : der= 5-(34,10,37800) and res= 5-(34,11,151200) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,151200) (# 17088) : der= 5-(34,10,37800) and res= 5-(34,11,151200) - the given design is the residual.

# 17081: 5-(36,11,501921)

clan: 8-(37,12,16191), 2 times reduced t, 1 times derived
supplementary design of 6-(36,11,45360) (# 17072) with respect to smaller t
design 6-(36,11,97146) (# 17075) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,97146) (# 17082) : der= 5-(35,10,97146) and res= 5-(35,11,404775) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,404775) (# 17083) : der= 5-(35,10,97146) and res= 5-(35,11,404775) - the given design is the residual.

# 17082: 5-(35,10,97146)

clan: 8-(37,12,16191), 1 times reduced t, 2 times derived
derived from supplementary of 6-(36,11,45360) (# 17072)
supplementary design of 6-(35,10,7560) (# 17073) with respect to smaller t
derived from 6-(36,11,97146) (# 17075)
design 6-(35,10,16191) (# 17076) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,16191) (# 17086) : der= 5-(34,9,16191) and res= 5-(34,10,80955) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,80955) (# 17087) : der= 5-(34,9,16191) and res= 5-(34,10,80955) - the given design is the residual.

# 17083: 5-(35,11,404775)

clan: 8-(37,12,16191), 1 times reduced t, 1 times derived, 1 times residual
residual design of supplementary of 6-(36,11,45360) (# 17072)
supplementary design of 6-(35,11,37800) (# 17074) with respect to smaller t
residual design of 6-(36,11,97146) (# 17075)
design 6-(35,11,80955) (# 17077) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,80955) (# 17087) : der= 5-(34,10,80955) and res= 5-(34,11,323820) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,323820) (# 17089) : der= 5-(34,10,80955) and res= 5-(34,11,323820) - the given design is the residual.

# 17084: 5-(34,9,7560)

clan: 8-(37,12,7560), 3 times derived
derived from 6-(35,10,7560) (# 17073)
derived from supplementary of 6-(35,10,16191) (# 17076)

# 17085: 5-(34,10,37800)

clan: 8-(37,12,7560), 2 times derived, 1 times residual
residual design of 6-(35,10,7560) (# 17073)
derived from 6-(35,11,37800) (# 17074)
residual design of supplementary of 6-(35,10,16191) (# 17076)
derived from supplementary of 6-(35,11,80955) (# 17077)

# 17086: 5-(34,9,16191)

clan: 8-(37,12,16191), 3 times derived
derived from supplementary of 6-(35,10,7560) (# 17073)
derived from 6-(35,10,16191) (# 17076)

# 17087: 5-(34,10,80955)

clan: 8-(37,12,16191), 2 times derived, 1 times residual
residual design of supplementary of 6-(35,10,7560) (# 17073)
derived from supplementary of 6-(35,11,37800) (# 17074)
residual design of 6-(35,10,16191) (# 17076)
derived from 6-(35,11,80955) (# 17077)

# 17088: 5-(34,11,151200)

clan: 8-(37,12,7560), 1 times derived, 2 times residual
residual design of 6-(35,11,37800) (# 17074)
residual design of supplementary of 6-(35,11,80955) (# 17077)

# 17089: 5-(34,11,323820)

clan: 8-(37,12,16191), 1 times derived, 2 times residual
residual design of supplementary of 6-(35,11,37800) (# 17074)
residual design of 6-(35,11,80955) (# 17077)

# 17090: 7-(36,11,7791)

clan: 8-(37,12,7791), 1 times derived
$Sp(6,2)_36$ (many isomorphism types)

# 17091: 6-(36,11,46746)

clan: 8-(37,12,7791), 1 times reduced t, 1 times derived
design 7-(36,11,7791) (# 17090) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,7791) (# 17092) : der= 6-(35,10,7791) and res= 6-(35,11,38955) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,38955) (# 17093) : der= 6-(35,10,7791) and res= 6-(35,11,38955) - the given design is the residual.

# 17092: 6-(35,10,7791)

clan: 8-(37,12,7791), 2 times derived
derived from 7-(36,11,7791) (# 17090)

# 17093: 6-(35,11,38955)

clan: 8-(37,12,7791), 1 times derived, 1 times residual
residual design of 7-(36,11,7791) (# 17090)

# 17094: 6-(36,11,95760)

clan: 8-(37,12,15960), 1 times reduced t, 1 times derived
supplementary design of 7-(36,11,7791) (# 17090) with respect to smaller t
Tran van Trung construction (right) for 6-(35,10,15960) (# 17095) : der= 6-(35,10,15960) and res= 6-(35,11,79800) - the given design is the derived.
Tran van Trung construction (left) for 6-(35,11,79800) (# 17096) : der= 6-(35,10,15960) and res= 6-(35,11,79800) - the given design is the residual.

# 17095: 6-(35,10,15960)

clan: 8-(37,12,15960), 2 times derived
derived from supplementary of 7-(36,11,7791) (# 17090)

# 17096: 6-(35,11,79800)

clan: 8-(37,12,15960), 1 times derived, 1 times residual
residual design of supplementary of 7-(36,11,7791) (# 17090)

# 17097: 5-(36,11,241521)

clan: 8-(37,12,7791), 2 times reduced t, 1 times derived
design 6-(36,11,46746) (# 17091) with respect to smaller t
supplementary design of 6-(36,11,95760) (# 17094) with respect to smaller t
Tran van Trung construction (right) for 5-(35,10,46746) (# 17098) : der= 5-(35,10,46746) and res= 5-(35,11,194775) - the given design is the derived.
Tran van Trung construction (left) for 5-(35,11,194775) (# 17099) : der= 5-(35,10,46746) and res= 5-(35,11,194775) - the given design is the residual.

# 17098: 5-(35,10,46746)

clan: 8-(37,12,7791), 1 times reduced t, 2 times derived
derived from 6-(36,11,46746) (# 17091)
design 6-(35,10,7791) (# 17092) with respect to smaller t
derived from supplementary of 6-(36,11,95760) (# 17094)
supplementary design of 6-(35,10,15960) (# 17095) with respect to smaller t
Tran van Trung construction (right) for 5-(34,9,7791) (# 17103) : der= 5-(34,9,7791) and res= 5-(34,10,38955) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,10,38955) (# 17104) : der= 5-(34,9,7791) and res= 5-(34,10,38955) - the given design is the residual.

# 17099: 5-(35,11,194775)

clan: 8-(37,12,7791), 1 times reduced t, 1 times derived, 1 times residual
residual design of 6-(36,11,46746) (# 17091)
design 6-(35,11,38955) (# 17093) with respect to smaller t
residual design of supplementary of 6-(36,11,95760) (# 17094)
supplementary design of 6-(35,11,79800) (# 17096) with respect to smaller t
Tran van Trung construction (right) for 5-(34,10,38955) (# 17104) : der= 5-(34,10,38955) and res= 5-(34,11,155820) - the given design is the derived.
Tran van Trung construction (left) for 5-(34,11,155820) (# 17107) : der= 5-(34,10,38955) and res= 5-(34,11,155820) - the given design is the residual.

created: Fri Oct 23 11:14:26 CEST 2009