t designs with small t, id ge 10000

# 10000: 5-(24,11,16968)

clan: 13-(32,16,606), 5 times derived, 3 times residual
derived from supplementary of 6-(25,12,10164) (# 9996)
derived from 6-(25,12,16968) (# 10007)

# 10001: 5-(24,12,31512)

clan: 13-(32,16,606), 4 times derived, 4 times residual
residual design of supplementary of 6-(25,12,10164) (# 9996)
derived from supplementary of 6-(25,13,18876) (# 10005)
residual design of 6-(25,12,16968) (# 10007)
derived from 6-(25,13,31512) (# 10008)

# 10002: 5-(25,13,47190)

clan: 13-(32,16,363), 1 times reduced t, 3 times derived, 4 times residual
residual design of 6-(26,13,29040) (# 9997)
design 6-(25,13,18876) (# 10005) with respect to smaller t
residual design of supplementary of 6-(26,13,48480) (# 10006)
supplementary design of 6-(25,13,31512) (# 10008) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,28314) (# 10009) : der= 5-(24,12,18876) and res= 5-(24,13,28314) - the given design is the residual.

# 10003: 5-(26,13,127260)

clan: 13-(32,16,606), 2 times reduced t, 3 times derived, 3 times residual
supplementary design of 6-(26,13,29040) (# 9997) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,48480) (# 9999)
Tran van Trung construction (right) for 5-(25,12,48480) (# 9999) : der= 5-(25,12,48480) and res= 5-(25,13,78780) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,78780) (# 10004) : der= 5-(25,12,48480) and res= 5-(25,13,78780) - the given design is the residual.
design 6-(26,13,48480) (# 10006) with respect to smaller t

# 10004: 5-(25,13,78780)

clan: 13-(32,16,606), 1 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 6-(26,13,29040) (# 9997)
supplementary design of 6-(25,13,18876) (# 10005) with respect to smaller t
residual design of 6-(26,13,48480) (# 10006)
design 6-(25,13,31512) (# 10008) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,47268) (# 10010) : der= 5-(24,12,31512) and res= 5-(24,13,47268) - the given design is the residual.

# 10005: 6-(25,13,18876)

clan: 13-(32,16,363), 3 times derived, 4 times residual
residual design of 7-(26,13,10164) (# 9998)
residual design of supplementary of 7-(26,13,16968) (# 10011)

# 10006: 6-(26,13,48480)

clan: 13-(32,16,606), 1 times reduced t, 3 times derived, 3 times residual
supplementary design of 7-(26,13,10164) (# 9998) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,16968) (# 10007)
Tran van Trung construction (right) for 6-(25,12,16968) (# 10007) : der= 6-(25,12,16968) and res= 6-(25,13,31512) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,31512) (# 10008) : der= 6-(25,12,16968) and res= 6-(25,13,31512) - the given design is the residual.
design 7-(26,13,16968) (# 10011) with respect to smaller t

# 10007: 6-(25,12,16968)

clan: 13-(32,16,606), 4 times derived, 3 times residual
derived from supplementary of 7-(26,13,10164) (# 9998)
derived from 7-(26,13,16968) (# 10011)

# 10008: 6-(25,13,31512)

clan: 13-(32,16,606), 3 times derived, 4 times residual
residual design of supplementary of 7-(26,13,10164) (# 9998)
residual design of 7-(26,13,16968) (# 10011)

# 10009: 5-(24,13,28314)

clan: 13-(32,16,363), 3 times derived, 5 times residual
residual design of 6-(25,13,18876) (# 10005)
residual design of supplementary of 6-(25,13,31512) (# 10008)

# 10010: 5-(24,13,47268)

clan: 13-(32,16,606), 3 times derived, 5 times residual
residual design of supplementary of 6-(25,13,18876) (# 10005)
residual design of 6-(25,13,31512) (# 10008)

# 10011: 7-(26,13,16968)

clan: 13-(32,16,606), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,16968) (# 10007)

# 10012: 6-(25,12,10500)

clan: 13-(32,16,375), 4 times derived, 3 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,10500) (# 10014)
derived from supplementary of 7-(26,13,16632) (# 10027)

# 10013: 6-(26,13,30000)

clan: 13-(32,16,375), 1 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 6-(25,12,10500) (# 10012)
design 7-(26,13,10500) (# 10014) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,19500) (# 10021) : der= 6-(25,12,10500) and res= 6-(25,13,19500) - the given design is the residual.
supplementary design of 7-(26,13,16632) (# 10027) with respect to smaller t

# 10014: 7-(26,13,10500)

clan: 13-(32,16,375), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,10500) (# 10012)

# 10015: 5-(25,12,47520)

clan: 13-(32,16,594), 1 times reduced t, 4 times derived, 3 times residual
supplementary design of 6-(25,12,10500) (# 10012) with respect to smaller t
derived from supplementary of 6-(26,13,30000) (# 10013)
Tran van Trung construction (right) for 5-(24,11,16632) (# 10016) : der= 5-(24,11,16632) and res= 5-(24,12,30888) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,30888) (# 10017) : der= 5-(24,11,16632) and res= 5-(24,12,30888) - the given design is the residual.
derived from 6-(26,13,47520) (# 10022)
design 6-(25,12,16632) (# 10023) with respect to smaller t

# 10016: 5-(24,11,16632)

clan: 13-(32,16,594), 5 times derived, 3 times residual
derived from supplementary of 6-(25,12,10500) (# 10012)
derived from 6-(25,12,16632) (# 10023)

# 10017: 5-(24,12,30888)

clan: 13-(32,16,594), 4 times derived, 4 times residual
residual design of supplementary of 6-(25,12,10500) (# 10012)
derived from supplementary of 6-(25,13,19500) (# 10021)
residual design of 6-(25,12,16632) (# 10023)
derived from 6-(25,13,30888) (# 10024)

# 10018: 5-(25,13,48750)

clan: 13-(32,16,375), 1 times reduced t, 3 times derived, 4 times residual
residual design of 6-(26,13,30000) (# 10013)
design 6-(25,13,19500) (# 10021) with respect to smaller t
residual design of supplementary of 6-(26,13,47520) (# 10022)
supplementary design of 6-(25,13,30888) (# 10024) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,29250) (# 10025) : der= 5-(24,12,19500) and res= 5-(24,13,29250) - the given design is the residual.

# 10019: 5-(26,13,124740)

clan: 13-(32,16,594), 2 times reduced t, 3 times derived, 3 times residual
supplementary design of 6-(26,13,30000) (# 10013) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,47520) (# 10015)
Tran van Trung construction (right) for 5-(25,12,47520) (# 10015) : der= 5-(25,12,47520) and res= 5-(25,13,77220) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,77220) (# 10020) : der= 5-(25,12,47520) and res= 5-(25,13,77220) - the given design is the residual.
design 6-(26,13,47520) (# 10022) with respect to smaller t

# 10020: 5-(25,13,77220)

clan: 13-(32,16,594), 1 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 6-(26,13,30000) (# 10013)
supplementary design of 6-(25,13,19500) (# 10021) with respect to smaller t
residual design of 6-(26,13,47520) (# 10022)
design 6-(25,13,30888) (# 10024) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,46332) (# 10026) : der= 5-(24,12,30888) and res= 5-(24,13,46332) - the given design is the residual.

# 10021: 6-(25,13,19500)

clan: 13-(32,16,375), 3 times derived, 4 times residual
residual design of 7-(26,13,10500) (# 10014)
residual design of supplementary of 7-(26,13,16632) (# 10027)

# 10022: 6-(26,13,47520)

clan: 13-(32,16,594), 1 times reduced t, 3 times derived, 3 times residual
supplementary design of 7-(26,13,10500) (# 10014) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,16632) (# 10023)
Tran van Trung construction (right) for 6-(25,12,16632) (# 10023) : der= 6-(25,12,16632) and res= 6-(25,13,30888) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,30888) (# 10024) : der= 6-(25,12,16632) and res= 6-(25,13,30888) - the given design is the residual.
design 7-(26,13,16632) (# 10027) with respect to smaller t

# 10023: 6-(25,12,16632)

clan: 13-(32,16,594), 4 times derived, 3 times residual
derived from supplementary of 7-(26,13,10500) (# 10014)
derived from 7-(26,13,16632) (# 10027)

# 10024: 6-(25,13,30888)

clan: 13-(32,16,594), 3 times derived, 4 times residual
residual design of supplementary of 7-(26,13,10500) (# 10014)
residual design of 7-(26,13,16632) (# 10027)

# 10025: 5-(24,13,29250)

clan: 13-(32,16,375), 3 times derived, 5 times residual
residual design of 6-(25,13,19500) (# 10021)
residual design of supplementary of 6-(25,13,30888) (# 10024)

# 10026: 5-(24,13,46332)

clan: 13-(32,16,594), 3 times derived, 5 times residual
residual design of supplementary of 6-(25,13,19500) (# 10021)
residual design of 6-(25,13,30888) (# 10024)

# 10027: 7-(26,13,16632)

clan: 13-(32,16,594), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,16632) (# 10023)

# 10028: 6-(25,12,10626)

clan: 11-(30,15,1518), 3 times derived, 2 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,10626) (# 10030)
derived from supplementary of 7-(26,13,16506) (# 10043)

# 10029: 6-(26,13,30360)

clan: 11-(30,15,1518), 1 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 6-(25,12,10626) (# 10028)
design 7-(26,13,10626) (# 10030) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,19734) (# 10037) : der= 6-(25,12,10626) and res= 6-(25,13,19734) - the given design is the residual.
supplementary design of 7-(26,13,16506) (# 10043) with respect to smaller t

# 10030: 7-(26,13,10626)

clan: 11-(30,15,1518), 2 times derived, 2 times residual
Alltop construction for design 6-(25,12,10626) (# 10028)

# 10031: 5-(25,12,47160)

clan: 11-(30,15,2358), 1 times reduced t, 3 times derived, 2 times residual
supplementary design of 6-(25,12,10626) (# 10028) with respect to smaller t
derived from supplementary of 6-(26,13,30360) (# 10029)
Tran van Trung construction (right) for 5-(24,11,16506) (# 10032) : der= 5-(24,11,16506) and res= 5-(24,12,30654) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,30654) (# 10033) : der= 5-(24,11,16506) and res= 5-(24,12,30654) - the given design is the residual.
derived from 6-(26,13,47160) (# 10038)
design 6-(25,12,16506) (# 10039) with respect to smaller t

# 10032: 5-(24,11,16506)

clan: 11-(30,15,2358), 4 times derived, 2 times residual
derived from supplementary of 6-(25,12,10626) (# 10028)
derived from 6-(25,12,16506) (# 10039)

# 10033: 5-(24,12,30654)

clan: 11-(30,15,2358), 3 times derived, 3 times residual
residual design of supplementary of 6-(25,12,10626) (# 10028)
derived from supplementary of 6-(25,13,19734) (# 10037)
residual design of 6-(25,12,16506) (# 10039)
derived from 6-(25,13,30654) (# 10040)

# 10034: 5-(25,13,49335)

clan: 11-(30,15,1518), 1 times reduced t, 2 times derived, 3 times residual
residual design of 6-(26,13,30360) (# 10029)
design 6-(25,13,19734) (# 10037) with respect to smaller t
residual design of supplementary of 6-(26,13,47160) (# 10038)
supplementary design of 6-(25,13,30654) (# 10040) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,29601) (# 10041) : der= 5-(24,12,19734) and res= 5-(24,13,29601) - the given design is the residual.

# 10035: 5-(26,13,123795)

clan: 11-(30,15,2358), 2 times reduced t, 2 times derived, 2 times residual
supplementary design of 6-(26,13,30360) (# 10029) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,47160) (# 10031)
Tran van Trung construction (right) for 5-(25,12,47160) (# 10031) : der= 5-(25,12,47160) and res= 5-(25,13,76635) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,76635) (# 10036) : der= 5-(25,12,47160) and res= 5-(25,13,76635) - the given design is the residual.
design 6-(26,13,47160) (# 10038) with respect to smaller t

# 10036: 5-(25,13,76635)

clan: 11-(30,15,2358), 1 times reduced t, 2 times derived, 3 times residual
residual design of supplementary of 6-(26,13,30360) (# 10029)
supplementary design of 6-(25,13,19734) (# 10037) with respect to smaller t
residual design of 6-(26,13,47160) (# 10038)
design 6-(25,13,30654) (# 10040) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,45981) (# 10042) : der= 5-(24,12,30654) and res= 5-(24,13,45981) - the given design is the residual.

# 10037: 6-(25,13,19734)

clan: 11-(30,15,1518), 2 times derived, 3 times residual
residual design of 7-(26,13,10626) (# 10030)
residual design of supplementary of 7-(26,13,16506) (# 10043)

# 10038: 6-(26,13,47160)

clan: 11-(30,15,2358), 1 times reduced t, 2 times derived, 2 times residual
supplementary design of 7-(26,13,10626) (# 10030) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,16506) (# 10039)
Tran van Trung construction (right) for 6-(25,12,16506) (# 10039) : der= 6-(25,12,16506) and res= 6-(25,13,30654) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,30654) (# 10040) : der= 6-(25,12,16506) and res= 6-(25,13,30654) - the given design is the residual.
design 7-(26,13,16506) (# 10043) with respect to smaller t

# 10039: 6-(25,12,16506)

clan: 11-(30,15,2358), 3 times derived, 2 times residual
derived from supplementary of 7-(26,13,10626) (# 10030)
derived from 7-(26,13,16506) (# 10043)

# 10040: 6-(25,13,30654)

clan: 11-(30,15,2358), 2 times derived, 3 times residual
residual design of supplementary of 7-(26,13,10626) (# 10030)
residual design of 7-(26,13,16506) (# 10043)

# 10041: 5-(24,13,29601)

clan: 11-(30,15,1518), 2 times derived, 4 times residual
residual design of 6-(25,13,19734) (# 10037)
residual design of supplementary of 6-(25,13,30654) (# 10040)

# 10042: 5-(24,13,45981)

clan: 11-(30,15,2358), 2 times derived, 4 times residual
residual design of supplementary of 6-(25,13,19734) (# 10037)
residual design of 6-(25,13,30654) (# 10040)

# 10043: 7-(26,13,16506)

clan: 11-(30,15,2358), 2 times derived, 2 times residual
Alltop construction for design 6-(25,12,16506) (# 10039)

# 10044: 6-(25,12,10962)

clan: 11-(30,15,1566), 3 times derived, 2 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,10962) (# 10048)
derived from supplementary of 7-(26,13,16170) (# 10065)

# 10045: 5-(25,12,31320)

clan: 11-(30,15,1566), 1 times reduced t, 3 times derived, 2 times residual
design 6-(25,12,10962) (# 10044) with respect to smaller t
Tran van Trung construction (right) for 5-(24,11,10962) (# 10046) : der= 5-(24,11,10962) and res= 5-(24,12,20358) - the given design is the derived.
derived from 6-(26,13,31320) (# 10047)
derived from supplementary of 6-(26,13,46200) (# 10058)
supplementary design of 6-(25,12,16170) (# 10059) with respect to smaller t

# 10046: 5-(24,11,10962)

clan: 11-(30,15,1566), 4 times derived, 2 times residual
derived from 6-(25,12,10962) (# 10044)
derived from supplementary of 6-(25,12,16170) (# 10059)

# 10047: 6-(26,13,31320)

clan: 11-(30,15,1566), 1 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 6-(25,12,10962) (# 10044)
design 7-(26,13,10962) (# 10048) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,20358) (# 10057) : der= 6-(25,12,10962) and res= 6-(25,13,20358) - the given design is the residual.
supplementary design of 7-(26,13,16170) (# 10065) with respect to smaller t

# 10048: 7-(26,13,10962)

clan: 11-(30,15,1566), 2 times derived, 2 times residual
Alltop construction for design 6-(25,12,10962) (# 10044)

# 10049: 5-(25,12,46200)

clan: 11-(30,15,2310), 1 times reduced t, 3 times derived, 2 times residual
supplementary design of 6-(25,12,10962) (# 10044) with respect to smaller t
derived from supplementary of 6-(26,13,31320) (# 10047)
Tran van Trung construction (right) for 5-(24,11,16170) (# 10050) : der= 5-(24,11,16170) and res= 5-(24,12,30030) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,30030) (# 10051) : der= 5-(24,11,16170) and res= 5-(24,12,30030) - the given design is the residual.
derived from 6-(26,13,46200) (# 10058)
design 6-(25,12,16170) (# 10059) with respect to smaller t

# 10050: 5-(24,11,16170)

clan: 11-(30,15,2310), 4 times derived, 2 times residual
derived from supplementary of 6-(25,12,10962) (# 10044)
derived from 6-(25,12,16170) (# 10059)

# 10051: 5-(24,12,30030)

clan: 11-(30,15,2310), 3 times derived, 3 times residual
residual design of supplementary of 6-(25,12,10962) (# 10044)
derived from supplementary of 6-(25,13,20358) (# 10057)
residual design of 6-(25,12,16170) (# 10059)
derived from 6-(25,13,30030) (# 10060)

# 10052: 5-(26,13,82215)

clan: 11-(30,15,1566), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,31320) (# 10045)
design 6-(26,13,31320) (# 10047) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,50895) (# 10054) : der= 5-(25,12,31320) and res= 5-(25,13,50895) - the given design is the residual.
supplementary design of 6-(26,13,46200) (# 10058) with respect to smaller t

# 10053: 5-(25,11,15660)

clan: 11-(30,15,1566), 1 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (left) for 5-(24,11,10962) (# 10046) : der= 5-(24,10,4698) and res= 5-(24,11,10962) - the given design is the residual.

# 10054: 5-(25,13,50895)

clan: 11-(30,15,1566), 1 times reduced t, 2 times derived, 3 times residual
residual design of 6-(26,13,31320) (# 10047)
design 6-(25,13,20358) (# 10057) with respect to smaller t
residual design of supplementary of 6-(26,13,46200) (# 10058)
supplementary design of 6-(25,13,30030) (# 10060) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,30537) (# 10063) : der= 5-(24,12,20358) and res= 5-(24,13,30537) - the given design is the residual.

# 10055: 5-(26,13,121275)

clan: 11-(30,15,2310), 2 times reduced t, 2 times derived, 2 times residual
supplementary design of 6-(26,13,31320) (# 10047) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,46200) (# 10049)
Tran van Trung construction (right) for 5-(25,12,46200) (# 10049) : der= 5-(25,12,46200) and res= 5-(25,13,75075) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,75075) (# 10056) : der= 5-(25,12,46200) and res= 5-(25,13,75075) - the given design is the residual.
design 6-(26,13,46200) (# 10058) with respect to smaller t

# 10056: 5-(25,13,75075)

clan: 11-(30,15,2310), 1 times reduced t, 2 times derived, 3 times residual
residual design of supplementary of 6-(26,13,31320) (# 10047)
supplementary design of 6-(25,13,20358) (# 10057) with respect to smaller t
residual design of 6-(26,13,46200) (# 10058)
design 6-(25,13,30030) (# 10060) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,45045) (# 10064) : der= 5-(24,12,30030) and res= 5-(24,13,45045) - the given design is the residual.

# 10057: 6-(25,13,20358)

clan: 11-(30,15,1566), 2 times derived, 3 times residual
residual design of 7-(26,13,10962) (# 10048)
residual design of supplementary of 7-(26,13,16170) (# 10065)

# 10058: 6-(26,13,46200)

clan: 11-(30,15,2310), 1 times reduced t, 2 times derived, 2 times residual
supplementary design of 7-(26,13,10962) (# 10048) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,16170) (# 10059)
Tran van Trung construction (right) for 6-(25,12,16170) (# 10059) : der= 6-(25,12,16170) and res= 6-(25,13,30030) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,30030) (# 10060) : der= 6-(25,12,16170) and res= 6-(25,13,30030) - the given design is the residual.
design 7-(26,13,16170) (# 10065) with respect to smaller t

# 10059: 6-(25,12,16170)

clan: 11-(30,15,2310), 3 times derived, 2 times residual
derived from supplementary of 7-(26,13,10962) (# 10048)
derived from 7-(26,13,16170) (# 10065)

# 10060: 6-(25,13,30030)

clan: 11-(30,15,2310), 2 times derived, 3 times residual
residual design of supplementary of 7-(26,13,10962) (# 10048)
residual design of 7-(26,13,16170) (# 10065)

# 10061: 5-(26,11,21924)

clan: 11-(30,15,1566), 2 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(25,11,15660) (# 10053) : der= 5-(25,10,6264) and res= 5-(25,11,15660) - the given design is the residual.

# 10062: 5-(26,12,46980)

clan: 11-(30,15,1566), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,11,15660) (# 10053) : der= 5-(25,11,15660) and res= 5-(25,12,31320) - the given design is the derived.

# 10063: 5-(24,13,30537)

clan: 11-(30,15,1566), 2 times derived, 4 times residual
residual design of 6-(25,13,20358) (# 10057)
residual design of supplementary of 6-(25,13,30030) (# 10060)

# 10064: 5-(24,13,45045)

clan: 11-(30,15,2310), 2 times derived, 4 times residual
residual design of supplementary of 6-(25,13,20358) (# 10057)
residual design of 6-(25,13,30030) (# 10060)

# 10065: 7-(26,13,16170)

clan: 11-(30,15,2310), 2 times derived, 2 times residual
Alltop construction for design 6-(25,12,16170) (# 10059)

# 10066: 5-(27,12,68904)

clan: 11-(30,15,1566), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,21924) (# 10061) : der= 5-(26,11,21924) and res= 5-(26,12,46980) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,12,46980) (# 10062) : der= 5-(26,11,21924) and res= 5-(26,12,46980) - the given design is the residual.

# 10067: 5-(27,13,129195)

clan: 11-(30,15,1566), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,12,46980) (# 10062) : der= 5-(26,12,46980) and res= 5-(26,13,82215) - the given design is the derived.

# 10068: 5-(28,13,198099)

clan: 11-(30,15,1566), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,68904) (# 10066) : der= 5-(27,12,68904) and res= 5-(27,13,129195) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,13,129195) (# 10067) : der= 5-(27,12,68904) and res= 5-(27,13,129195) - the given design is the residual.

# 10069: 5-(28,14,330165)

clan: 11-(30,15,1566), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,129195) (# 10067)

# 10070: 5-(29,14,528264)

clan: 11-(30,15,1566), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,198099) (# 10068) : der= 5-(28,13,198099) and res= 5-(28,14,330165) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,14,330165) (# 10069) : der= 5-(28,13,198099) and res= 5-(28,14,330165) - the given design is the residual.

# 10071: 5-(30,15,1320660)

clan: 11-(30,15,1566), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,528264) (# 10070)

# 10072: 6-(25,12,11088)

clan: 13-(32,16,396), 4 times derived, 3 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,11088) (# 10076)
derived from supplementary of 7-(26,13,16044) (# 10093)

# 10073: 5-(25,12,31680)

clan: 13-(32,16,396), 1 times reduced t, 4 times derived, 3 times residual
design 6-(25,12,11088) (# 10072) with respect to smaller t
Tran van Trung construction (right) for 5-(24,11,11088) (# 10074) : der= 5-(24,11,11088) and res= 5-(24,12,20592) - the given design is the derived.
derived from 6-(26,13,31680) (# 10075)
derived from supplementary of 6-(26,13,45840) (# 10086)
supplementary design of 6-(25,12,16044) (# 10087) with respect to smaller t

# 10074: 5-(24,11,11088)

clan: 13-(32,16,396), 5 times derived, 3 times residual
derived from 6-(25,12,11088) (# 10072)
derived from supplementary of 6-(25,12,16044) (# 10087)

# 10075: 6-(26,13,31680)

clan: 13-(32,16,396), 1 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 6-(25,12,11088) (# 10072)
design 7-(26,13,11088) (# 10076) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,20592) (# 10085) : der= 6-(25,12,11088) and res= 6-(25,13,20592) - the given design is the residual.
supplementary design of 7-(26,13,16044) (# 10093) with respect to smaller t

# 10076: 7-(26,13,11088)

clan: 13-(32,16,396), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,11088) (# 10072)

# 10077: 5-(25,12,45840)

clan: 13-(32,16,573), 1 times reduced t, 4 times derived, 3 times residual
supplementary design of 6-(25,12,11088) (# 10072) with respect to smaller t
derived from supplementary of 6-(26,13,31680) (# 10075)
Tran van Trung construction (right) for 5-(24,11,16044) (# 10078) : der= 5-(24,11,16044) and res= 5-(24,12,29796) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,29796) (# 10079) : der= 5-(24,11,16044) and res= 5-(24,12,29796) - the given design is the residual.
derived from 6-(26,13,45840) (# 10086)
design 6-(25,12,16044) (# 10087) with respect to smaller t

# 10078: 5-(24,11,16044)

clan: 13-(32,16,573), 5 times derived, 3 times residual
derived from supplementary of 6-(25,12,11088) (# 10072)
derived from 6-(25,12,16044) (# 10087)

# 10079: 5-(24,12,29796)

clan: 13-(32,16,573), 4 times derived, 4 times residual
residual design of supplementary of 6-(25,12,11088) (# 10072)
derived from supplementary of 6-(25,13,20592) (# 10085)
residual design of 6-(25,12,16044) (# 10087)
derived from 6-(25,13,29796) (# 10088)

# 10080: 5-(26,13,83160)

clan: 13-(32,16,396), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,31680) (# 10073)
design 6-(26,13,31680) (# 10075) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,51480) (# 10082) : der= 5-(25,12,31680) and res= 5-(25,13,51480) - the given design is the residual.
supplementary design of 6-(26,13,45840) (# 10086) with respect to smaller t

# 10081: 5-(25,11,15840)

clan: 13-(32,16,396), 1 times reduced t, 5 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,11,11088) (# 10074) : der= 5-(24,10,4752) and res= 5-(24,11,11088) - the given design is the residual.
residual design of 6-(26,11,6336) (# 14168)
residual design of supplementary of 6-(26,11,9168) (# 14171)

# 10082: 5-(25,13,51480)

clan: 13-(32,16,396), 1 times reduced t, 3 times derived, 4 times residual
residual design of 6-(26,13,31680) (# 10075)
design 6-(25,13,20592) (# 10085) with respect to smaller t
residual design of supplementary of 6-(26,13,45840) (# 10086)
supplementary design of 6-(25,13,29796) (# 10088) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,30888) (# 10091) : der= 5-(24,12,20592) and res= 5-(24,13,30888) - the given design is the residual.

# 10083: 5-(26,13,120330)

clan: 13-(32,16,573), 2 times reduced t, 3 times derived, 3 times residual
supplementary design of 6-(26,13,31680) (# 10075) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,45840) (# 10077)
Tran van Trung construction (right) for 5-(25,12,45840) (# 10077) : der= 5-(25,12,45840) and res= 5-(25,13,74490) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,74490) (# 10084) : der= 5-(25,12,45840) and res= 5-(25,13,74490) - the given design is the residual.
design 6-(26,13,45840) (# 10086) with respect to smaller t

# 10084: 5-(25,13,74490)

clan: 13-(32,16,573), 1 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 6-(26,13,31680) (# 10075)
supplementary design of 6-(25,13,20592) (# 10085) with respect to smaller t
residual design of 6-(26,13,45840) (# 10086)
design 6-(25,13,29796) (# 10088) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,44694) (# 10092) : der= 5-(24,12,29796) and res= 5-(24,13,44694) - the given design is the residual.

# 10085: 6-(25,13,20592)

clan: 13-(32,16,396), 3 times derived, 4 times residual
residual design of 7-(26,13,11088) (# 10076)
residual design of supplementary of 7-(26,13,16044) (# 10093)

# 10086: 6-(26,13,45840)

clan: 13-(32,16,573), 1 times reduced t, 3 times derived, 3 times residual
supplementary design of 7-(26,13,11088) (# 10076) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,16044) (# 10087)
Tran van Trung construction (right) for 6-(25,12,16044) (# 10087) : der= 6-(25,12,16044) and res= 6-(25,13,29796) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,29796) (# 10088) : der= 6-(25,12,16044) and res= 6-(25,13,29796) - the given design is the residual.
design 7-(26,13,16044) (# 10093) with respect to smaller t

# 10087: 6-(25,12,16044)

clan: 13-(32,16,573), 4 times derived, 3 times residual
derived from supplementary of 7-(26,13,11088) (# 10076)
derived from 7-(26,13,16044) (# 10093)

# 10088: 6-(25,13,29796)

clan: 13-(32,16,573), 3 times derived, 4 times residual
residual design of supplementary of 7-(26,13,11088) (# 10076)
residual design of 7-(26,13,16044) (# 10093)

# 10089: 5-(26,11,22176)

clan: 13-(32,16,396), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,11,15840) (# 10081) : der= 5-(25,10,6336) and res= 5-(25,11,15840) - the given design is the residual.
residual design of 6-(27,11,8316) (# 10723)
design 6-(26,11,6336) (# 14168) with respect to smaller t
residual design of supplementary of 6-(27,11,12033) (# 14169)
supplementary design of 6-(26,11,9168) (# 14171) with respect to smaller t

# 10090: 5-(26,12,47520)

clan: 13-(32,16,396), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (right) for 5-(25,11,15840) (# 10081) : der= 5-(25,11,15840) and res= 5-(25,12,31680) - the given design is the derived.

# 10091: 5-(24,13,30888)

clan: 13-(32,16,396), 3 times derived, 5 times residual
residual design of 6-(25,13,20592) (# 10085)
residual design of supplementary of 6-(25,13,29796) (# 10088)

# 10092: 5-(24,13,44694)

clan: 13-(32,16,573), 3 times derived, 5 times residual
residual design of supplementary of 6-(25,13,20592) (# 10085)
residual design of 6-(25,13,29796) (# 10088)

# 10093: 7-(26,13,16044)

clan: 13-(32,16,573), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,16044) (# 10087)

# 10094: 5-(27,11,30492)

clan: 13-(32,16,396), 3 times reduced t, 5 times derived
Tran van Trung construction (left) for 5-(26,11,22176) (# 10089) : der= 5-(26,10,8316) and res= 5-(26,11,22176) - the given design is the residual.
design 6-(27,11,8316) (# 10723) with respect to smaller t
supplementary design of 6-(27,11,12033) (# 14169) with respect to smaller t

# 10095: 5-(27,12,69696)

clan: 13-(32,16,396), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,22176) (# 10089) : der= 5-(26,11,22176) and res= 5-(26,12,47520) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,12,47520) (# 10090) : der= 5-(26,11,22176) and res= 5-(26,12,47520) - the given design is the residual.

# 10096: 5-(27,13,130680)

clan: 13-(32,16,396), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (right) for 5-(26,12,47520) (# 10090) : der= 5-(26,12,47520) and res= 5-(26,13,83160) - the given design is the derived.

# 10097: 5-(28,12,100188)

clan: 13-(32,16,396), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,30492) (# 10094) : der= 5-(27,11,30492) and res= 5-(27,12,69696) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,69696) (# 10095) : der= 5-(27,11,30492) and res= 5-(27,12,69696) - the given design is the residual.

# 10098: 5-(28,13,200376)

clan: 13-(32,16,396), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,69696) (# 10095) : der= 5-(27,12,69696) and res= 5-(27,13,130680) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,13,130680) (# 10096) : der= 5-(27,12,69696) and res= 5-(27,13,130680) - the given design is the residual.

# 10099: 5-(28,14,333960)

clan: 13-(32,16,396), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,130680) (# 10096)

created: Fri Oct 23 11:12:21 CEST 2009