t designs with small t, id ge 13700

---

# 13700: 7-(30,15,250470)

• clan: 13-(32,16,495), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,250470) (# 13693)

---

# 13701: 5-(29,13,375705)

• clan: 13-(32,16,495), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,125235) (# 13694) : der= 5-(28,12,125235) and res= 5-(28,13,250470) - the given design is the derived.

---

# 13702: 5-(29,15,959376)

• clan: 13-(32,16,474), 5 times reduced t, 1 times derived, 2 times residual
• residual design of 6-(30,15,639584) (# 13695)
• residual design of supplementary of 6-(30,15,667920) (# 13699)
• design 6-(29,15,399740) (# 13704) with respect to smaller t
• supplementary design of 6-(29,15,417450) (# 13705) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,559636) (# 13707) : der= 5-(28,14,399740) and res= 5-(28,15,559636) - the given design is the residual.

---

# 13703: 5-(29,15,1001880)

• clan: 13-(32,16,495), 5 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(30,15,639584) (# 13695)
• residual design of 6-(30,15,667920) (# 13699)
• supplementary design of 6-(29,15,399740) (# 13704) with respect to smaller t
• design 6-(29,15,417450) (# 13705) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,584430) (# 13708) : der= 5-(28,14,417450) and res= 5-(28,15,584430) - the given design is the residual.

---

# 13704: 6-(29,15,399740)

• clan: 13-(32,16,474), 4 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(30,15,239844) (# 13696)
• residual design of supplementary of 7-(30,15,250470) (# 13700)

---

# 13705: 6-(29,15,417450)

• clan: 13-(32,16,495), 4 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(30,15,239844) (# 13696)
• residual design of 7-(30,15,250470) (# 13700)

---

# 13706: 5-(30,14,1043625)

• clan: 13-(32,16,495), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,375705) (# 13701) : der= 5-(29,13,375705) and res= 5-(29,14,667920) - the given design is the derived.

---

# 13707: 5-(28,15,559636)

• clan: 13-(32,16,474), 4 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(29,15,399740) (# 13704)
• residual design of supplementary of 6-(29,15,417450) (# 13705)

---

# 13708: 5-(28,15,584430)

• clan: 13-(32,16,495), 4 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(29,15,399740) (# 13704)
• residual design of 6-(29,15,417450) (# 13705)

---

# 13709: 5-(31,15,2713425)

• clan: 13-(32,16,495), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,1043625) (# 13706) : der= 5-(30,14,1043625) and res= 5-(30,15,1669800) - the given design is the derived.

---

# 13710: 5-(32,16,6660225)

• clan: 13-(32,16,495), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,2713425) (# 13709)

---

# 13711: 7-(26,11,1926)

• clan: 11-(30,15,1926), 4 times derived
• $P\Gamma L(2,25)$(>=1 isom. type)

---

# 13712: 6-(26,11,7704)

• clan: 11-(30,15,1926), 1 times reduced t, 4 times derived
• design 7-(26,11,1926) (# 13711) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1926) (# 13713) : der= 6-(25,10,1926) and res= 6-(25,11,5778) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,5778) (# 13714) : der= 6-(25,10,1926) and res= 6-(25,11,5778) - the given design is the residual.

---

# 13713: 6-(25,10,1926)

• clan: 11-(30,15,1926), 5 times derived
• derived from 7-(26,11,1926) (# 13711)

---

# 13714: 6-(25,11,5778)

• clan: 11-(30,15,1926), 4 times derived, 1 times residual
• residual design of 7-(26,11,1926) (# 13711)

---

# 13715: 6-(26,11,7800)

• clan: 11-(30,15,1950), 1 times reduced t, 4 times derived
• supplementary design of 7-(26,11,1926) (# 13711) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1950) (# 13716) : der= 6-(25,10,1950) and res= 6-(25,11,5850) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,5850) (# 13717) : der= 6-(25,10,1950) and res= 6-(25,11,5850) - the given design is the residual.

---

# 13716: 6-(25,10,1950)

• clan: 11-(30,15,1950), 5 times derived
• derived from supplementary of 7-(26,11,1926) (# 13711)

---

# 13717: 6-(25,11,5850)

• clan: 11-(30,15,1950), 4 times derived, 1 times residual
• residual design of supplementary of 7-(26,11,1926) (# 13711)

---

# 13718: 5-(26,11,26964)

• clan: 11-(30,15,1926), 2 times reduced t, 4 times derived
• design 6-(26,11,7704) (# 13712) with respect to smaller t
• supplementary design of 6-(26,11,7800) (# 13715) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,19260) (# 13719) : der= 5-(25,10,7704) and res= 5-(25,11,19260) - the given design is the residual.

---

# 13719: 5-(25,11,19260)

• clan: 11-(30,15,1926), 1 times reduced t, 4 times derived, 1 times residual
• residual design of 6-(26,11,7704) (# 13712)
• design 6-(25,11,5778) (# 13714) with respect to smaller t
• residual design of supplementary of 6-(26,11,7800) (# 13715)
• supplementary design of 6-(25,11,5850) (# 13717) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,11,13482) (# 13725) : der= 5-(24,10,5778) and res= 5-(24,11,13482) - the given design is the residual.

---

# 13720: 5-(26,11,27300)

• clan: 11-(30,15,1950), 2 times reduced t, 4 times derived
• supplementary design of 6-(26,11,7704) (# 13712) with respect to smaller t
• design 6-(26,11,7800) (# 13715) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,7800) (# 13721) : der= 5-(25,10,7800) and res= 5-(25,11,19500) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,19500) (# 13722) : der= 5-(25,10,7800) and res= 5-(25,11,19500) - the given design is the residual.

---

# 13721: 5-(25,10,7800)

• clan: 11-(30,15,1950), 1 times reduced t, 5 times derived
• derived from supplementary of 6-(26,11,7704) (# 13712)
• supplementary design of 6-(25,10,1926) (# 13713) with respect to smaller t
• derived from 6-(26,11,7800) (# 13715)
• design 6-(25,10,1950) (# 13716) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,9,1950) (# 13723) : der= 5-(24,9,1950) and res= 5-(24,10,5850) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,10,5850) (# 13724) : der= 5-(24,9,1950) and res= 5-(24,10,5850) - the given design is the residual.

---

# 13722: 5-(25,11,19500)

• clan: 11-(30,15,1950), 1 times reduced t, 4 times derived, 1 times residual
• residual design of supplementary of 6-(26,11,7704) (# 13712)
• supplementary design of 6-(25,11,5778) (# 13714) with respect to smaller t
• residual design of 6-(26,11,7800) (# 13715)
• design 6-(25,11,5850) (# 13717) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,10,5850) (# 13724) : der= 5-(24,10,5850) and res= 5-(24,11,13650) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,11,13650) (# 13726) : der= 5-(24,10,5850) and res= 5-(24,11,13650) - the given design is the residual.

---

# 13723: 5-(24,9,1950)

• clan: 11-(30,15,1950), 6 times derived
• derived from supplementary of 6-(25,10,1926) (# 13713)
• derived from 6-(25,10,1950) (# 13716)

---

# 13724: 5-(24,10,5850)

• clan: 11-(30,15,1950), 5 times derived, 1 times residual
• residual design of supplementary of 6-(25,10,1926) (# 13713)
• derived from supplementary of 6-(25,11,5778) (# 13714)
• residual design of 6-(25,10,1950) (# 13716)
• derived from 6-(25,11,5850) (# 13717)

---

# 13725: 5-(24,11,13482)

• clan: 11-(30,15,1926), 4 times derived, 2 times residual
• residual design of 6-(25,11,5778) (# 13714)
• residual design of supplementary of 6-(25,11,5850) (# 13717)

---

# 13726: 5-(24,11,13650)

• clan: 11-(30,15,1950), 4 times derived, 2 times residual
• residual design of supplementary of 6-(25,11,5778) (# 13714)
• residual design of 6-(25,11,5850) (# 13717)

---

# 13727: 5-(25,12,38520)

• clan: 11-(30,15,1926), 1 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(24,11,13482) (# 13725) : der= 5-(24,11,13482) and res= 5-(24,12,25038) - the given design is the derived.

---

# 13728: 5-(26,13,101115)

• clan: 11-(30,15,1926), 2 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,38520) (# 13727)

---

# 13729: 5-(26,12,57780)

• clan: 11-(30,15,1926), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,12,38520) (# 13727) : der= 5-(25,11,19260) and res= 5-(25,12,38520) - the given design is the residual.

---

# 13730: 5-(27,13,158895)

• clan: 11-(30,15,1926), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,13,101115) (# 13728) : der= 5-(26,12,57780) and res= 5-(26,13,101115) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,57780) (# 13729) : der= 5-(26,12,57780) and res= 5-(26,13,101115) - the given design is the derived.

---

# 13731: 5-(27,12,84744)

• clan: 11-(30,15,1926), 3 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(26,12,57780) (# 13729) : der= 5-(26,11,26964) and res= 5-(26,12,57780) - the given design is the residual.

---

# 13732: 5-(28,14,406065)

• clan: 11-(30,15,1926), 4 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,158895) (# 13730)

---

# 13733: 5-(28,13,243639)

• clan: 11-(30,15,1926), 4 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(27,13,158895) (# 13730) : der= 5-(27,12,84744) and res= 5-(27,13,158895) - the given design is the residual.
• Tran van Trung construction (right) for 5-(27,12,84744) (# 13731) : der= 5-(27,12,84744) and res= 5-(27,13,158895) - the given design is the derived.

---

# 13734: 5-(29,14,649704)

• clan: 11-(30,15,1926), 5 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(28,14,406065) (# 13732) : der= 5-(28,13,243639) and res= 5-(28,14,406065) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,243639) (# 13733) : der= 5-(28,13,243639) and res= 5-(28,14,406065) - the given design is the derived.

---

# 13735: 5-(30,15,1624260)

• clan: 11-(30,15,1926), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,649704) (# 13734)

---

# 13736: 7-(26,12,5796)

• clan: 13-(32,16,483), 4 times derived, 2 times residual
• $P\Gamma L(2,25)$(>=1 isom. type)
• residual design of 8-(27,12,1932) (# 17631)

---

# 13737: 6-(26,12,19320)

• clan: 13-(32,16,483), 1 times reduced t, 4 times derived, 2 times residual
• design 7-(26,12,5796) (# 13736) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,11,5796) (# 13738) : der= 6-(25,11,5796) and res= 6-(25,12,13524) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,12,13524) (# 13739) : der= 6-(25,11,5796) and res= 6-(25,12,13524) - the given design is the residual.
• derived from 7-(27,13,19320) (# 13759)
• residual design of 7-(27,12,7728) (# 14860)
• residual design of supplementary of 7-(27,12,7776) (# 17633)
• supplementary design of 7-(26,12,5832) (# 17635) with respect to smaller t
• derived from supplementary of 7-(27,13,19440) (# 17638)

---

# 13738: 6-(25,11,5796)

• clan: 13-(32,16,483), 5 times derived, 2 times residual
• derived from 7-(26,12,5796) (# 13736)
• residual design of 7-(26,11,1932) (# 17632)
• residual design of supplementary of 7-(26,11,1944) (# 17634)
• derived from supplementary of 7-(26,12,5832) (# 17635)

---

# 13739: 6-(25,12,13524)

• clan: 13-(32,16,483), 4 times derived, 3 times residual
• residual design of 7-(26,12,5796) (# 13736)
• derived from 7-(26,13,13524) (# 13751)
• derived from supplementary of 7-(26,13,13608) (# 13754)
• residual design of supplementary of 7-(26,12,5832) (# 17635)

---

# 13740: 6-(26,12,19440)

• clan: 13-(32,16,486), 1 times reduced t, 4 times derived, 2 times residual
• supplementary design of 7-(26,12,5796) (# 13736) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,11,5832) (# 13741) : der= 6-(25,11,5832) and res= 6-(25,12,13608) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,12,13608) (# 13742) : der= 6-(25,11,5832) and res= 6-(25,12,13608) - the given design is the residual.
• derived from supplementary of 7-(27,13,19320) (# 13759)
• residual design of supplementary of 7-(27,12,7728) (# 14860)
• residual design of 7-(27,12,7776) (# 17633)
• design 7-(26,12,5832) (# 17635) with respect to smaller t
• derived from 7-(27,13,19440) (# 17638)

---

# 13741: 6-(25,11,5832)

• clan: 13-(32,16,486), 5 times derived, 2 times residual
• derived from supplementary of 7-(26,12,5796) (# 13736)
• residual design of supplementary of 7-(26,11,1932) (# 17632)
• residual design of 7-(26,11,1944) (# 17634)
• derived from 7-(26,12,5832) (# 17635)

---

# 13742: 6-(25,12,13608)

• clan: 13-(32,16,486), 4 times derived, 3 times residual
• residual design of supplementary of 7-(26,12,5796) (# 13736)
• derived from supplementary of 7-(26,13,13524) (# 13751)
• derived from 7-(26,13,13608) (# 13754)
• residual design of 7-(26,12,5832) (# 17635)

---

# 13743: 5-(25,11,19320)

• clan: 13-(32,16,483), 1 times reduced t, 5 times derived, 2 times residual
• derived from 6-(26,12,19320) (# 13737)
• design 6-(25,11,5796) (# 13738) with respect to smaller t
• derived from supplementary of 6-(26,12,19440) (# 13740)
• supplementary design of 6-(25,11,5832) (# 13741) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,11,13524) (# 13747) : der= 5-(24,10,5796) and res= 5-(24,11,13524) - the given design is the residual.
• residual design of 6-(26,11,7728) (# 14351)
• residual design of supplementary of 6-(26,11,7776) (# 14354)

---

# 13744: 5-(25,12,38640)

• clan: 13-(32,16,483), 1 times reduced t, 4 times derived, 3 times residual
• residual design of 6-(26,12,19320) (# 13737)
• design 6-(25,12,13524) (# 13739) with respect to smaller t
• residual design of supplementary of 6-(26,12,19440) (# 13740)
• supplementary design of 6-(25,12,13608) (# 13742) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,11,13524) (# 13747) : der= 5-(24,11,13524) and res= 5-(24,12,25116) - the given design is the derived.
• derived from 6-(26,13,38640) (# 13750)
• derived from supplementary of 6-(26,13,38880) (# 13753)

---

# 13745: 5-(25,11,19440)

• clan: 13-(32,16,486), 1 times reduced t, 5 times derived, 2 times residual
• derived from supplementary of 6-(26,12,19320) (# 13737)
• supplementary design of 6-(25,11,5796) (# 13738) with respect to smaller t
• derived from 6-(26,12,19440) (# 13740)
• design 6-(25,11,5832) (# 13741) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,10,5832) (# 13748) : der= 5-(24,10,5832) and res= 5-(24,11,13608) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,11,13608) (# 13749) : der= 5-(24,10,5832) and res= 5-(24,11,13608) - the given design is the residual.
• residual design of supplementary of 6-(26,11,7728) (# 14351)
• residual design of 6-(26,11,7776) (# 14354)

---

# 13746: 5-(25,12,38880)

• clan: 13-(32,16,486), 1 times reduced t, 4 times derived, 3 times residual
• residual design of supplementary of 6-(26,12,19320) (# 13737)
• supplementary design of 6-(25,12,13524) (# 13739) with respect to smaller t
• residual design of 6-(26,12,19440) (# 13740)
• design 6-(25,12,13608) (# 13742) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,11,13608) (# 13749) : der= 5-(24,11,13608) and res= 5-(24,12,25272) - the given design is the derived.
• derived from supplementary of 6-(26,13,38640) (# 13750)
• Tran van Trung construction (left) for 5-(24,12,25272) (# 13752) : der= 5-(24,11,13608) and res= 5-(24,12,25272) - the given design is the residual.
• derived from 6-(26,13,38880) (# 13753)

---

# 13747: 5-(24,11,13524)

• clan: 13-(32,16,483), 5 times derived, 3 times residual
• residual design of 6-(25,11,5796) (# 13738)
• derived from 6-(25,12,13524) (# 13739)
• residual design of supplementary of 6-(25,11,5832) (# 13741)
• derived from supplementary of 6-(25,12,13608) (# 13742)

---

# 13748: 5-(24,10,5832)

• clan: 13-(32,16,486), 6 times derived, 2 times residual
• derived from supplementary of 6-(25,11,5796) (# 13738)
• derived from 6-(25,11,5832) (# 13741)
• residual design of supplementary of 6-(25,10,1932) (# 17636)
• residual design of 6-(25,10,1944) (# 17637)

---

# 13749: 5-(24,11,13608)

• clan: 13-(32,16,486), 5 times derived, 3 times residual
• residual design of supplementary of 6-(25,11,5796) (# 13738)
• derived from supplementary of 6-(25,12,13524) (# 13739)
• residual design of 6-(25,11,5832) (# 13741)
• derived from 6-(25,12,13608) (# 13742)

---

# 13750: 6-(26,13,38640)

• clan: 13-(32,16,483), 1 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(25,12,13524) (# 13739)
• design 7-(26,13,13524) (# 13751) with respect to smaller t
• supplementary design of 7-(26,13,13608) (# 13754) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,25116) (# 13757) : der= 6-(25,12,13524) and res= 6-(25,13,25116) - the given design is the residual.
• residual design of 7-(27,13,19320) (# 13759)
• residual design of supplementary of 7-(27,13,19440) (# 17638)

---

# 13751: 7-(26,13,13524)

• clan: 13-(32,16,483), 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,13524) (# 13739)

---

# 13752: 5-(24,12,25272)

• clan: 13-(32,16,486), 4 times derived, 4 times residual
• residual design of supplementary of 6-(25,12,13524) (# 13739)
• residual design of 6-(25,12,13608) (# 13742)
• derived from supplementary of 6-(25,13,25116) (# 13757)
• derived from 6-(25,13,25272) (# 13758)

---

# 13753: 6-(26,13,38880)

• clan: 13-(32,16,486), 1 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(25,12,13608) (# 13742)
• supplementary design of 7-(26,13,13524) (# 13751) with respect to smaller t
• design 7-(26,13,13608) (# 13754) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,25272) (# 13758) : der= 6-(25,12,13608) and res= 6-(25,13,25272) - the given design is the residual.
• residual design of supplementary of 7-(27,13,19320) (# 13759)
• residual design of 7-(27,13,19440) (# 17638)

---

# 13754: 7-(26,13,13608)

• clan: 13-(32,16,486), 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,13608) (# 13742)

---

# 13755: 5-(25,13,62790)

• clan: 13-(32,16,483), 1 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(26,13,38640) (# 13750)
• residual design of supplementary of 6-(26,13,38880) (# 13753)
• design 6-(25,13,25116) (# 13757) with respect to smaller t
• supplementary design of 6-(25,13,25272) (# 13758) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,37674) (# 13760) : der= 5-(24,12,25116) and res= 5-(24,13,37674) - the given design is the residual.

---

# 13756: 5-(25,13,63180)

• clan: 13-(32,16,486), 1 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 6-(26,13,38640) (# 13750)
• residual design of 6-(26,13,38880) (# 13753)
• supplementary design of 6-(25,13,25116) (# 13757) with respect to smaller t
• design 6-(25,13,25272) (# 13758) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,37908) (# 13761) : der= 5-(24,12,25272) and res= 5-(24,13,37908) - the given design is the residual.

---

# 13757: 6-(25,13,25116)

• clan: 13-(32,16,483), 3 times derived, 4 times residual
• residual design of 7-(26,13,13524) (# 13751)
• residual design of supplementary of 7-(26,13,13608) (# 13754)

---

# 13758: 6-(25,13,25272)

• clan: 13-(32,16,486), 3 times derived, 4 times residual
• residual design of supplementary of 7-(26,13,13524) (# 13751)
• residual design of 7-(26,13,13608) (# 13754)

---

# 13759: 7-(27,13,19320)

• clan: 13-(32,16,483), 1 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 7-(26,13,13524) (# 13751) : der= 7-(26,12,5796) and res= 7-(26,13,13524) - the given design is the residual.

---

# 13760: 5-(24,13,37674)

• clan: 13-(32,16,483), 3 times derived, 5 times residual
• residual design of 6-(25,13,25116) (# 13757)
• residual design of supplementary of 6-(25,13,25272) (# 13758)

---

# 13761: 5-(24,13,37908)

• clan: 13-(32,16,486), 3 times derived, 5 times residual
• residual design of supplementary of 6-(25,13,25116) (# 13757)
• residual design of 6-(25,13,25272) (# 13758)

---

# 13762: 7-(26,8,6)

• clan: 17-(36,18,6), 10 times derived
• PGL(2,25) (14 solutions, 7 isom. types) \cite{Bettenetal98b}

---

# 13763: 6-(25,7,6)

• clan: 17-(36,18,6), 11 times derived
• derived from 7-(26,8,6) (# 13762)

---

# 13764: 6-(26,8,130)

• clan: 17-(36,18,13), 1 times reduced t, 10 times derived
• supplementary design of 7-(26,8,6) (# 13762) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,7,13) (# 13765) : der= 6-(25,7,13) and res= 6-(25,8,117) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,8,117) (# 13766) : der= 6-(25,7,13) and res= 6-(25,8,117) - the given design is the residual.
• derived from supplementary of 7-(27,9,60) (# 13772)

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# 13765: 6-(25,7,13)

• clan: 17-(36,18,13), 11 times derived
• derived from supplementary of 7-(26,8,6) (# 13762)

---

# 13766: 6-(25,8,117)

• clan: 17-(36,18,13), 10 times derived, 1 times residual
• residual design of supplementary of 7-(26,8,6) (# 13762)
• derived from supplementary of 7-(26,9,54) (# 13768)

---

# 13767: 5-(24,6,13)

• clan: 17-(36,18,13), 12 times derived
• derived from supplementary of 6-(25,7,6) (# 13763)
• derived from 6-(25,7,13) (# 13765)

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# 13768: 7-(26,9,54)

• clan: 17-(36,18,6), 9 times derived, 1 times residual
• $P\Gamma L(2,25)$ (3989 isom. types) \cite{Bettenetal98b}

---

# 13769: 6-(25,9,306)

• clan: 17-(36,18,6), 9 times derived, 2 times residual
• residual design of 7-(26,9,54) (# 13768)

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# 13770: 6-(26,9,780)

• clan: 17-(36,18,13), 1 times reduced t, 9 times derived, 1 times residual
• supplementary design of 7-(26,9,54) (# 13768) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,9,663) (# 13771) : der= 6-(25,8,117) and res= 6-(25,9,663) - the given design is the residual.
• residual design of supplementary of 7-(27,9,60) (# 13772)

---

# 13771: 6-(25,9,663)

• clan: 17-(36,18,13), 9 times derived, 2 times residual
• residual design of supplementary of 7-(26,9,54) (# 13768)

---

# 13772: 7-(27,9,60)

• clan: 17-(36,18,6), 1 times reduced t, 9 times derived
• Tran van Trung construction (left) for 7-(26,9,54) (# 13768) : der= 7-(26,8,6) and res= 7-(26,9,54) - the given design is the residual.
• $P\Gamma L(2,25)+$, (Tran van Trung construction): 7-(26,8,6) together with 7-(26,9,54) \cite{Bettenetal98b}(>= 121802772685441446018 isomorphism types)

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# 13773: 5-(24,9,2652)

• clan: 17-(36,18,13), 9 times derived, 3 times residual
• residual design of supplementary of 6-(25,9,306) (# 13769)
• residual design of 6-(25,9,663) (# 13771)

---

# 13774: 6-(27,9,910)

• clan: 17-(36,18,13), 2 times reduced t, 9 times derived
• Tran van Trung construction (left) for 6-(26,9,780) (# 13770) : der= 6-(26,8,130) and res= 6-(26,9,780) - the given design is the residual.
• supplementary design of 7-(27,9,60) (# 13772) with respect to smaller t

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# 13775: 7-(26,9,63)

• clan: 17-(36,18,7), 9 times derived, 1 times residual
• $P\Gamma L(2,25)$ (37932 isom. types) \cite{Bettenetal98b}

---

# 13776: 6-(25,9,357)

• clan: 17-(36,18,7), 9 times derived, 2 times residual
• residual design of 7-(26,9,63) (# 13775)

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# 13777: 6-(26,9,720)

• clan: 17-(36,18,12), 1 times reduced t, 9 times derived, 1 times residual
• supplementary design of 7-(26,9,63) (# 13775) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,8,108) (# 13778) : der= 6-(25,8,108) and res= 6-(25,9,612) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,9,612) (# 13779) : der= 6-(25,8,108) and res= 6-(25,9,612) - the given design is the residual.
• derived from supplementary of 7-(27,10,420) (# 13790)

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# 13778: 6-(25,8,108)

• clan: 17-(36,18,12), 10 times derived, 1 times residual
• derived from supplementary of 7-(26,9,63) (# 13775)

---

# 13779: 6-(25,9,612)

• clan: 17-(36,18,12), 9 times derived, 2 times residual
• residual design of supplementary of 7-(26,9,63) (# 13775)

---

# 13780: 5-(24,9,2448)

• clan: 17-(36,18,12), 9 times derived, 3 times residual
• residual design of supplementary of 6-(25,9,357) (# 13776)
• residual design of 6-(25,9,612) (# 13779)

---

# 13781: 7-(26,9,81)

• clan: 17-(36,18,9), 9 times derived, 1 times residual
• $P\Gamma L(2,25)$ (776460 isom. types) \cite{Bettenetal98b}

---

# 13782: 6-(25,9,459)

• clan: 17-(36,18,9), 9 times derived, 2 times residual
• residual design of 7-(26,9,81) (# 13781)

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# 13783: 6-(25,8,90)

• clan: 17-(36,18,10), 10 times derived, 1 times residual
• derived from supplementary of 7-(26,9,81) (# 13781)

---

# 13784: 6-(25,9,510)

• clan: 17-(36,18,10), 9 times derived, 2 times residual
• residual design of supplementary of 7-(26,9,81) (# 13781)

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# 13785: 5-(24,9,2040)

• clan: 17-(36,18,10), 9 times derived, 3 times residual
• residual design of supplementary of 6-(25,9,459) (# 13782)
• residual design of 6-(25,9,510) (# 13784)

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# 13786: 7-(27,10,240)

• clan: 17-(36,18,4), 1 times reduced t, 8 times derived, 1 times residual
• $P\Gamma L(2,25)+$ \cite{Bettenetal97b}

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# 13787: 6-(27,10,4725)

• clan: 17-(36,18,15), 2 times reduced t, 8 times derived, 1 times residual
• supplementary design of 7-(27,10,240) (# 13786) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,9,900) (# 13788) : der= 6-(26,9,900) and res= 6-(26,10,3825) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,10,3825) (# 13789) : der= 6-(26,9,900) and res= 6-(26,10,3825) - the given design is the residual.

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# 13788: 6-(26,9,900)

• clan: 17-(36,18,15), 1 times reduced t, 9 times derived, 1 times residual
• derived from supplementary of 7-(27,10,240) (# 13786)

---

# 13789: 6-(26,10,3825)

• clan: 17-(36,18,15), 1 times reduced t, 8 times derived, 2 times residual
• residual design of supplementary of 7-(27,10,240) (# 13786)

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# 13790: 7-(27,10,420)

• clan: 17-(36,18,7), 1 times reduced t, 8 times derived, 1 times residual
• $U(4,2)$

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# 13791: 6-(26,10,1785)

• clan: 17-(36,18,7), 1 times reduced t, 8 times derived, 2 times residual
• residual design of 7-(27,10,420) (# 13790)
• derived from 7-(27,11,1785) (# 14095)

---

# 13792: 6-(26,10,3060)

• clan: 17-(36,18,12), 1 times reduced t, 8 times derived, 2 times residual
• residual design of supplementary of 7-(27,10,420) (# 13790)
• derived from supplementary of 7-(27,11,1785) (# 14095)

---

# 13793: 5-(25,10,9792)

• clan: 17-(36,18,12), 1 times reduced t, 8 times derived, 3 times residual
• residual design of supplementary of 6-(26,10,1785) (# 13791)
• residual design of 6-(26,10,3060) (# 13792)
• derived from supplementary of 6-(26,11,5712) (# 14096)
• derived from 6-(26,11,9792) (# 14098)

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# 13794: 7-(27,10,540)

• clan: 17-(36,18,9), 1 times reduced t, 8 times derived, 1 times residual
• $ASL(3,3)^{13}$
• $P\Gamma L(2,25)+$ \cite{Bettenetal97b}

---

# 13795: 6-(26,10,2550)

• clan: 17-(36,18,10), 1 times reduced t, 8 times derived, 2 times residual
• residual design of supplementary of 7-(27,10,540) (# 13794)
• derived from supplementary of 7-(27,11,2295) (# 14308)

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# 13796: 7-(27,11,1035)

• clan: 13-(32,16,207), 1 times reduced t, 5 times derived
• $ASL(3,3)$

---

# 13797: 6-(27,11,4347)

• clan: 13-(32,16,207), 2 times reduced t, 5 times derived
• design 7-(27,11,1035) (# 13796) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,1035) (# 13798) : der= 6-(26,10,1035) and res= 6-(26,11,3312) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,3312) (# 13799) : der= 6-(26,10,1035) and res= 6-(26,11,3312) - the given design is the residual.

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# 13798: 6-(26,10,1035)

• clan: 13-(32,16,207), 1 times reduced t, 6 times derived
• derived from 7-(27,11,1035) (# 13796)

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# 13799: 6-(26,11,3312)

• clan: 13-(32,16,207), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,1035) (# 13796)

---

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created: Fri Oct 23 11:13:36 CEST 2009