t designs with small t, id ge 15900

---

# 15900: 6-(29,10,2660)

• clan: 8-(31,10,76), 2 times residual
• residual design of 7-(30,10,532) (# 15898)

---

# 15901: 6-(30,10,7434)

• clan: 8-(31,10,177), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,532) (# 15898) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1239) (# 15902) : der= 6-(29,9,1239) and res= 6-(29,10,6195) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,6195) (# 15903) : der= 6-(29,9,1239) and res= 6-(29,10,6195) - the given design is the residual.

---

# 15902: 6-(29,9,1239)

• clan: 8-(31,10,177), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,532) (# 15898)

---

# 15903: 6-(29,10,6195)

• clan: 8-(31,10,177), 2 times residual
• residual design of supplementary of 7-(30,10,532) (# 15898)

---

# 15904: 5-(30,10,15960)

• clan: 8-(31,10,76), 2 times reduced t, 1 times residual
• design 6-(30,10,3192) (# 15899) with respect to smaller t
• supplementary design of 6-(30,10,7434) (# 15901) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,12768) (# 15905) : der= 5-(29,9,3192) and res= 5-(29,10,12768) - the given design is the residual.

---

# 15905: 5-(29,10,12768)

• clan: 8-(31,10,76), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,3192) (# 15899)
• design 6-(29,10,2660) (# 15900) with respect to smaller t
• residual design of supplementary of 6-(30,10,7434) (# 15901)
• supplementary design of 6-(29,10,6195) (# 15903) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,10108) (# 15908) : der= 5-(28,9,2660) and res= 5-(28,10,10108) - the given design is the residual.

---

# 15906: 5-(30,10,37170)

• clan: 8-(31,10,177), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,3192) (# 15899) with respect to smaller t
• design 6-(30,10,7434) (# 15901) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,29736) (# 15907) : der= 5-(29,9,7434) and res= 5-(29,10,29736) - the given design is the residual.

---

# 15907: 5-(29,10,29736)

• clan: 8-(31,10,177), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,3192) (# 15899)
• supplementary design of 6-(29,10,2660) (# 15900) with respect to smaller t
• residual design of 6-(30,10,7434) (# 15901)
• design 6-(29,10,6195) (# 15903) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,23541) (# 15909) : der= 5-(28,9,6195) and res= 5-(28,10,23541) - the given design is the residual.

---

# 15908: 5-(28,10,10108)

• clan: 8-(31,10,76), 3 times residual
• residual design of 6-(29,10,2660) (# 15900)
• residual design of supplementary of 6-(29,10,6195) (# 15903)

---

# 15909: 5-(28,10,23541)

• clan: 8-(31,10,177), 3 times residual
• residual design of supplementary of 6-(29,10,2660) (# 15900)
• residual design of 6-(29,10,6195) (# 15903)

---

# 15910: 7-(30,10,546)

• clan: 8-(31,10,78), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 15911: 6-(30,10,3276)

• clan: 8-(31,10,78), 1 times reduced t, 1 times residual
• design 7-(30,10,546) (# 15910) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,546) (# 15912) : der= 6-(29,9,546) and res= 6-(29,10,2730) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,2730) (# 15913) : der= 6-(29,9,546) and res= 6-(29,10,2730) - the given design is the residual.

---

# 15912: 6-(29,9,546)

• clan: 8-(31,10,78), 1 times derived, 1 times residual
• derived from 7-(30,10,546) (# 15910)

---

# 15913: 6-(29,10,2730)

• clan: 8-(31,10,78), 2 times residual
• residual design of 7-(30,10,546) (# 15910)

---

# 15914: 6-(30,10,7350)

• clan: 8-(31,10,175), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,546) (# 15910) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1225) (# 15915) : der= 6-(29,9,1225) and res= 6-(29,10,6125) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,6125) (# 15916) : der= 6-(29,9,1225) and res= 6-(29,10,6125) - the given design is the residual.

---

# 15915: 6-(29,9,1225)

• clan: 8-(31,10,175), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,546) (# 15910)

---

# 15916: 6-(29,10,6125)

• clan: 8-(31,10,175), 2 times residual
• residual design of supplementary of 7-(30,10,546) (# 15910)

---

# 15917: 5-(30,10,16380)

• clan: 8-(31,10,78), 2 times reduced t, 1 times residual
• design 6-(30,10,3276) (# 15911) with respect to smaller t
• supplementary design of 6-(30,10,7350) (# 15914) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,13104) (# 15918) : der= 5-(29,9,3276) and res= 5-(29,10,13104) - the given design is the residual.
• residual design of 6-(31,10,3900) (# 15928)

---

# 15918: 5-(29,10,13104)

• clan: 8-(31,10,78), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,3276) (# 15911)
• design 6-(29,10,2730) (# 15913) with respect to smaller t
• residual design of supplementary of 6-(30,10,7350) (# 15914)
• supplementary design of 6-(29,10,6125) (# 15916) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,10374) (# 15924) : der= 5-(28,9,2730) and res= 5-(28,10,10374) - the given design is the residual.

---

# 15919: 5-(30,10,36750)

• clan: 8-(31,10,175), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,3276) (# 15911) with respect to smaller t
• design 6-(30,10,7350) (# 15914) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,9,7350) (# 15920) : der= 5-(29,9,7350) and res= 5-(29,10,29400) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,10,29400) (# 15921) : der= 5-(29,9,7350) and res= 5-(29,10,29400) - the given design is the residual.
• residual design of supplementary of 6-(31,10,3900) (# 15928)

---

# 15920: 5-(29,9,7350)

• clan: 8-(31,10,175), 1 times reduced t, 1 times derived, 1 times residual
• derived from supplementary of 6-(30,10,3276) (# 15911)
• supplementary design of 6-(29,9,546) (# 15912) with respect to smaller t
• derived from 6-(30,10,7350) (# 15914)
• design 6-(29,9,1225) (# 15915) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,6125) (# 15922) : der= 5-(28,8,1225) and res= 5-(28,9,6125) - the given design is the residual.
• residual design of supplementary of 6-(30,9,624) (# 15923)

---

# 15921: 5-(29,10,29400)

• clan: 8-(31,10,175), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,3276) (# 15911)
• supplementary design of 6-(29,10,2730) (# 15913) with respect to smaller t
• residual design of 6-(30,10,7350) (# 15914)
• design 6-(29,10,6125) (# 15916) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,9,6125) (# 15922) : der= 5-(28,9,6125) and res= 5-(28,10,23275) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,10,23275) (# 15925) : der= 5-(28,9,6125) and res= 5-(28,10,23275) - the given design is the residual.

---

# 15922: 5-(28,9,6125)

• clan: 8-(31,10,175), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,546) (# 15912)
• derived from supplementary of 6-(29,10,2730) (# 15913)
• residual design of 6-(29,9,1225) (# 15915)
• derived from 6-(29,10,6125) (# 15916)

---

# 15923: 6-(30,9,624)

• clan: 8-(31,10,78), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,546) (# 15912) : der= 6-(29,8,78) and res= 6-(29,9,546) - the given design is the residual.

---

# 15924: 5-(28,10,10374)

• clan: 8-(31,10,78), 3 times residual
• residual design of 6-(29,10,2730) (# 15913)
• residual design of supplementary of 6-(29,10,6125) (# 15916)

---

# 15925: 5-(28,10,23275)

• clan: 8-(31,10,175), 3 times residual
• residual design of supplementary of 6-(29,10,2730) (# 15913)
• residual design of 6-(29,10,6125) (# 15916)

---

# 15926: 5-(31,10,20280)

• clan: 8-(31,10,78), 3 times reduced t
• Tran van Trung construction (left) for 5-(30,10,16380) (# 15917) : der= 5-(30,9,3900) and res= 5-(30,10,16380) - the given design is the residual.
• design 6-(31,10,3900) (# 15928) with respect to smaller t

---

# 15927: 5-(30,9,8750)

• clan: 8-(31,10,175), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,7350) (# 15920) : der= 5-(29,8,1400) and res= 5-(29,9,7350) - the given design is the residual.
• supplementary design of 6-(30,9,624) (# 15923) with respect to smaller t
• derived from supplementary of 6-(31,10,3900) (# 15928)

---

# 15928: 6-(31,10,3900)

• clan: 8-(31,10,78), 2 times reduced t
• Tran van Trung construction (right) for 6-(30,9,624) (# 15923) : der= 6-(30,9,624) and res= 6-(30,10,3276) - the given design is the derived.

---

# 15929: 5-(31,10,45500)

• clan: 8-(31,10,175), 3 times reduced t
• Tran van Trung construction (right) for 5-(30,9,8750) (# 15927) : der= 5-(30,9,8750) and res= 5-(30,10,36750) - the given design is the derived.
• supplementary design of 6-(31,10,3900) (# 15928) with respect to smaller t

---

# 15930: 7-(30,10,567)

• clan: 8-(31,10,81), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 15931: 6-(30,10,3402)

• clan: 8-(31,10,81), 1 times reduced t, 1 times residual
• design 7-(30,10,567) (# 15930) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,567) (# 15932) : der= 6-(29,9,567) and res= 6-(29,10,2835) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,2835) (# 15933) : der= 6-(29,9,567) and res= 6-(29,10,2835) - the given design is the residual.

---

# 15932: 6-(29,9,567)

• clan: 8-(31,10,81), 1 times derived, 1 times residual
• derived from 7-(30,10,567) (# 15930)

---

# 15933: 6-(29,10,2835)

• clan: 8-(31,10,81), 2 times residual
• residual design of 7-(30,10,567) (# 15930)

---

# 15934: 6-(30,10,7224)

• clan: 8-(31,10,172), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,567) (# 15930) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1204) (# 15935) : der= 6-(29,9,1204) and res= 6-(29,10,6020) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,6020) (# 15936) : der= 6-(29,9,1204) and res= 6-(29,10,6020) - the given design is the residual.

---

# 15935: 6-(29,9,1204)

• clan: 8-(31,10,172), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,567) (# 15930)

---

# 15936: 6-(29,10,6020)

• clan: 8-(31,10,172), 2 times residual
• residual design of supplementary of 7-(30,10,567) (# 15930)

---

# 15937: 5-(30,10,17010)

• clan: 8-(31,10,81), 2 times reduced t, 1 times residual
• design 6-(30,10,3402) (# 15931) with respect to smaller t
• supplementary design of 6-(30,10,7224) (# 15934) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,13608) (# 15938) : der= 5-(29,9,3402) and res= 5-(29,10,13608) - the given design is the residual.

---

# 15938: 5-(29,10,13608)

• clan: 8-(31,10,81), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,3402) (# 15931)
• design 6-(29,10,2835) (# 15933) with respect to smaller t
• residual design of supplementary of 6-(30,10,7224) (# 15934)
• supplementary design of 6-(29,10,6020) (# 15936) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,10773) (# 15944) : der= 5-(28,9,2835) and res= 5-(28,10,10773) - the given design is the residual.

---

# 15939: 5-(30,10,36120)

• clan: 8-(31,10,172), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,3402) (# 15931) with respect to smaller t
• design 6-(30,10,7224) (# 15934) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,9,7224) (# 15940) : der= 5-(29,9,7224) and res= 5-(29,10,28896) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,10,28896) (# 15941) : der= 5-(29,9,7224) and res= 5-(29,10,28896) - the given design is the residual.

---

# 15940: 5-(29,9,7224)

• clan: 8-(31,10,172), 1 times reduced t, 1 times derived, 1 times residual
• derived from supplementary of 6-(30,10,3402) (# 15931)
• supplementary design of 6-(29,9,567) (# 15932) with respect to smaller t
• derived from 6-(30,10,7224) (# 15934)
• design 6-(29,9,1204) (# 15935) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1204) (# 15942) : der= 5-(28,8,1204) and res= 5-(28,9,6020) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,6020) (# 15943) : der= 5-(28,8,1204) and res= 5-(28,9,6020) - the given design is the residual.

---

# 15941: 5-(29,10,28896)

• clan: 8-(31,10,172), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,3402) (# 15931)
• supplementary design of 6-(29,10,2835) (# 15933) with respect to smaller t
• residual design of 6-(30,10,7224) (# 15934)
• design 6-(29,10,6020) (# 15936) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,9,6020) (# 15943) : der= 5-(28,9,6020) and res= 5-(28,10,22876) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,10,22876) (# 15945) : der= 5-(28,9,6020) and res= 5-(28,10,22876) - the given design is the residual.

---

# 15942: 5-(28,8,1204)

• clan: 8-(31,10,172), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,567) (# 15932)
• derived from 6-(29,9,1204) (# 15935)

---

# 15943: 5-(28,9,6020)

• clan: 8-(31,10,172), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,567) (# 15932)
• derived from supplementary of 6-(29,10,2835) (# 15933)
• residual design of 6-(29,9,1204) (# 15935)
• derived from 6-(29,10,6020) (# 15936)

---

# 15944: 5-(28,10,10773)

• clan: 8-(31,10,81), 3 times residual
• residual design of 6-(29,10,2835) (# 15933)
• residual design of supplementary of 6-(29,10,6020) (# 15936)

---

# 15945: 5-(28,10,22876)

• clan: 8-(31,10,172), 3 times residual
• residual design of supplementary of 6-(29,10,2835) (# 15933)
• residual design of 6-(29,10,6020) (# 15936)

---

# 15946: 7-(30,10,609)

• clan: 8-(31,10,87), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 15947: 6-(30,10,3654)

• clan: 8-(31,10,87), 1 times reduced t, 1 times residual
• design 7-(30,10,609) (# 15946) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,609) (# 15948) : der= 6-(29,9,609) and res= 6-(29,10,3045) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,3045) (# 15949) : der= 6-(29,9,609) and res= 6-(29,10,3045) - the given design is the residual.

---

# 15948: 6-(29,9,609)

• clan: 8-(31,10,87), 1 times derived, 1 times residual
• derived from 7-(30,10,609) (# 15946)

---

# 15949: 6-(29,10,3045)

• clan: 8-(31,10,87), 2 times residual
• residual design of 7-(30,10,609) (# 15946)

---

# 15950: 6-(30,10,6972)

• clan: 8-(31,10,166), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,609) (# 15946) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1162) (# 15951) : der= 6-(29,9,1162) and res= 6-(29,10,5810) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5810) (# 15952) : der= 6-(29,9,1162) and res= 6-(29,10,5810) - the given design is the residual.

---

# 15951: 6-(29,9,1162)

• clan: 8-(31,10,166), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,609) (# 15946)

---

# 15952: 6-(29,10,5810)

• clan: 8-(31,10,166), 2 times residual
• residual design of supplementary of 7-(30,10,609) (# 15946)

---

# 15953: 5-(30,10,18270)

• clan: 8-(31,10,87), 2 times reduced t, 1 times residual
• design 6-(30,10,3654) (# 15947) with respect to smaller t
• supplementary design of 6-(30,10,6972) (# 15950) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,14616) (# 15954) : der= 5-(29,9,3654) and res= 5-(29,10,14616) - the given design is the residual.

---

# 15954: 5-(29,10,14616)

• clan: 8-(31,10,87), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,3654) (# 15947)
• design 6-(29,10,3045) (# 15949) with respect to smaller t
• residual design of supplementary of 6-(30,10,6972) (# 15950)
• supplementary design of 6-(29,10,5810) (# 15952) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,11571) (# 15960) : der= 5-(28,9,3045) and res= 5-(28,10,11571) - the given design is the residual.

---

# 15955: 5-(30,10,34860)

• clan: 8-(31,10,166), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,3654) (# 15947) with respect to smaller t
• design 6-(30,10,6972) (# 15950) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,9,6972) (# 15956) : der= 5-(29,9,6972) and res= 5-(29,10,27888) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,10,27888) (# 15957) : der= 5-(29,9,6972) and res= 5-(29,10,27888) - the given design is the residual.

---

# 15956: 5-(29,9,6972)

• clan: 8-(31,10,166), 1 times reduced t, 1 times derived, 1 times residual
• derived from supplementary of 6-(30,10,3654) (# 15947)
• supplementary design of 6-(29,9,609) (# 15948) with respect to smaller t
• derived from 6-(30,10,6972) (# 15950)
• design 6-(29,9,1162) (# 15951) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1162) (# 15958) : der= 5-(28,8,1162) and res= 5-(28,9,5810) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5810) (# 15959) : der= 5-(28,8,1162) and res= 5-(28,9,5810) - the given design is the residual.

---

# 15957: 5-(29,10,27888)

• clan: 8-(31,10,166), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,3654) (# 15947)
• supplementary design of 6-(29,10,3045) (# 15949) with respect to smaller t
• residual design of 6-(30,10,6972) (# 15950)
• design 6-(29,10,5810) (# 15952) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,9,5810) (# 15959) : der= 5-(28,9,5810) and res= 5-(28,10,22078) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,10,22078) (# 15961) : der= 5-(28,9,5810) and res= 5-(28,10,22078) - the given design is the residual.

---

# 15958: 5-(28,8,1162)

• clan: 8-(31,10,166), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,609) (# 15948)
• derived from 6-(29,9,1162) (# 15951)

---

# 15959: 5-(28,9,5810)

• clan: 8-(31,10,166), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,609) (# 15948)
• derived from supplementary of 6-(29,10,3045) (# 15949)
• residual design of 6-(29,9,1162) (# 15951)
• derived from 6-(29,10,5810) (# 15952)

---

# 15960: 5-(28,10,11571)

• clan: 8-(31,10,87), 3 times residual
• residual design of 6-(29,10,3045) (# 15949)
• residual design of supplementary of 6-(29,10,5810) (# 15952)

---

# 15961: 5-(28,10,22078)

• clan: 8-(31,10,166), 3 times residual
• residual design of supplementary of 6-(29,10,3045) (# 15949)
• residual design of 6-(29,10,5810) (# 15952)

---

# 15962: 7-(30,10,630)

• clan: 8-(31,10,90), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 15963: 6-(30,10,3780)

• clan: 8-(31,10,90), 1 times reduced t, 1 times residual
• design 7-(30,10,630) (# 15962) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,10,3150) (# 15964) : der= 6-(29,9,630) and res= 6-(29,10,3150) - the given design is the residual.

---

# 15964: 6-(29,10,3150)

• clan: 8-(31,10,90), 2 times residual
• residual design of 7-(30,10,630) (# 15962)

---

# 15965: 6-(30,10,6846)

• clan: 8-(31,10,163), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,630) (# 15962) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1141) (# 15966) : der= 6-(29,9,1141) and res= 6-(29,10,5705) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5705) (# 15967) : der= 6-(29,9,1141) and res= 6-(29,10,5705) - the given design is the residual.

---

# 15966: 6-(29,9,1141)

• clan: 8-(31,10,163), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,630) (# 15962)

---

# 15967: 6-(29,10,5705)

• clan: 8-(31,10,163), 2 times residual
• residual design of supplementary of 7-(30,10,630) (# 15962)

---

# 15968: 5-(30,10,18900)

• clan: 8-(31,10,90), 2 times reduced t, 1 times residual
• design 6-(30,10,3780) (# 15963) with respect to smaller t
• supplementary design of 6-(30,10,6846) (# 15965) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,15120) (# 15969) : der= 5-(29,9,3780) and res= 5-(29,10,15120) - the given design is the residual.

---

# 15969: 5-(29,10,15120)

• clan: 8-(31,10,90), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,3780) (# 15963)
• design 6-(29,10,3150) (# 15964) with respect to smaller t
• residual design of supplementary of 6-(30,10,6846) (# 15965)
• supplementary design of 6-(29,10,5705) (# 15967) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,11970) (# 15972) : der= 5-(28,9,3150) and res= 5-(28,10,11970) - the given design is the residual.

---

# 15970: 5-(30,10,34230)

• clan: 8-(31,10,163), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,3780) (# 15963) with respect to smaller t
• design 6-(30,10,6846) (# 15965) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,27384) (# 15971) : der= 5-(29,9,6846) and res= 5-(29,10,27384) - the given design is the residual.

---

# 15971: 5-(29,10,27384)

• clan: 8-(31,10,163), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,3780) (# 15963)
• supplementary design of 6-(29,10,3150) (# 15964) with respect to smaller t
• residual design of 6-(30,10,6846) (# 15965)
• design 6-(29,10,5705) (# 15967) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,21679) (# 15973) : der= 5-(28,9,5705) and res= 5-(28,10,21679) - the given design is the residual.

---

# 15972: 5-(28,10,11970)

• clan: 8-(31,10,90), 3 times residual
• residual design of 6-(29,10,3150) (# 15964)
• residual design of supplementary of 6-(29,10,5705) (# 15967)

---

# 15973: 5-(28,10,21679)

• clan: 8-(31,10,163), 3 times residual
• residual design of supplementary of 6-(29,10,3150) (# 15964)
• residual design of 6-(29,10,5705) (# 15967)

---

# 15974: 5-(31,10,23400)

• clan: 8-(31,10,90), 3 times reduced t
• Tran van Trung construction (left) for 5-(30,10,18900) (# 15968) : der= 5-(30,9,4500) and res= 5-(30,10,18900) - the given design is the residual.

---

# 15975: 7-(30,10,672)

• clan: 8-(31,10,96), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 15976: 6-(30,10,4032)

• clan: 8-(31,10,96), 1 times reduced t, 1 times residual
• design 7-(30,10,672) (# 15975) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,10,3360) (# 15977) : der= 6-(29,9,672) and res= 6-(29,10,3360) - the given design is the residual.

---

# 15977: 6-(29,10,3360)

• clan: 8-(31,10,96), 2 times residual
• residual design of 7-(30,10,672) (# 15975)

---

# 15978: 6-(30,10,6594)

• clan: 8-(31,10,157), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,672) (# 15975) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1099) (# 15979) : der= 6-(29,9,1099) and res= 6-(29,10,5495) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5495) (# 15980) : der= 6-(29,9,1099) and res= 6-(29,10,5495) - the given design is the residual.

---

# 15979: 6-(29,9,1099)

• clan: 8-(31,10,157), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,672) (# 15975)

---

# 15980: 6-(29,10,5495)

• clan: 8-(31,10,157), 2 times residual
• residual design of supplementary of 7-(30,10,672) (# 15975)

---

# 15981: 5-(30,10,20160)

• clan: 8-(31,10,96), 2 times reduced t, 1 times residual
• design 6-(30,10,4032) (# 15976) with respect to smaller t
• supplementary design of 6-(30,10,6594) (# 15978) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,16128) (# 15982) : der= 5-(29,9,4032) and res= 5-(29,10,16128) - the given design is the residual.

---

# 15982: 5-(29,10,16128)

• clan: 8-(31,10,96), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,4032) (# 15976)
• design 6-(29,10,3360) (# 15977) with respect to smaller t
• residual design of supplementary of 6-(30,10,6594) (# 15978)
• supplementary design of 6-(29,10,5495) (# 15980) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,12768) (# 15985) : der= 5-(28,9,3360) and res= 5-(28,10,12768) - the given design is the residual.

---

# 15983: 5-(30,10,32970)

• clan: 8-(31,10,157), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,4032) (# 15976) with respect to smaller t
• design 6-(30,10,6594) (# 15978) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,26376) (# 15984) : der= 5-(29,9,6594) and res= 5-(29,10,26376) - the given design is the residual.

---

# 15984: 5-(29,10,26376)

• clan: 8-(31,10,157), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,4032) (# 15976)
• supplementary design of 6-(29,10,3360) (# 15977) with respect to smaller t
• residual design of 6-(30,10,6594) (# 15978)
• design 6-(29,10,5495) (# 15980) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,20881) (# 15986) : der= 5-(28,9,5495) and res= 5-(28,10,20881) - the given design is the residual.

---

# 15985: 5-(28,10,12768)

• clan: 8-(31,10,96), 3 times residual
• residual design of 6-(29,10,3360) (# 15977)
• residual design of supplementary of 6-(29,10,5495) (# 15980)

---

# 15986: 5-(28,10,20881)

• clan: 8-(31,10,157), 3 times residual
• residual design of supplementary of 6-(29,10,3360) (# 15977)
• residual design of 6-(29,10,5495) (# 15980)

---

# 15987: 7-(30,10,693)

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

---

# 15988: 6-(29,10,3465)

• clan: 21-(44,22,9), 12 times derived, 3 times residual
• residual design of 7-(30,10,693) (# 15987)

---

# 15989: 6-(30,10,6468)

• clan: 21-(44,22,14), 1 times reduced t, 12 times derived, 2 times residual
• supplementary design of 7-(30,10,693) (# 15987) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1078) (# 15990) : der= 6-(29,9,1078) and res= 6-(29,10,5390) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5390) (# 15991) : der= 6-(29,9,1078) and res= 6-(29,10,5390) - the given design is the residual.

---

# 15990: 6-(29,9,1078)

• clan: 21-(44,22,14), 13 times derived, 2 times residual
• derived from supplementary of 7-(30,10,693) (# 15987)

---

# 15991: 6-(29,10,5390)

• clan: 21-(44,22,14), 12 times derived, 3 times residual
• residual design of supplementary of 7-(30,10,693) (# 15987)

---

# 15992: 5-(28,10,13167)

• clan: 21-(44,22,9), 12 times derived, 4 times residual
• residual design of 6-(29,10,3465) (# 15988)
• residual design of supplementary of 6-(29,10,5390) (# 15991)

---

# 15993: 5-(28,10,20482)

• clan: 21-(44,22,14), 12 times derived, 4 times residual
• residual design of supplementary of 6-(29,10,3465) (# 15988)
• residual design of 6-(29,10,5390) (# 15991)

---

# 15994: 7-(30,10,735)

• clan: 8-(31,10,105), 1 times residual
• $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

---

# 15995: 6-(29,10,3675)

• clan: 8-(31,10,105), 2 times residual
• residual design of 7-(30,10,735) (# 15994)

---

# 15996: 6-(30,10,6216)

• clan: 8-(31,10,148), 1 times reduced t, 1 times residual
• supplementary design of 7-(30,10,735) (# 15994) with respect to smaller t
• Tran van Trung construction (right) for 6-(29,9,1036) (# 15997) : der= 6-(29,9,1036) and res= 6-(29,10,5180) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,10,5180) (# 15998) : der= 6-(29,9,1036) and res= 6-(29,10,5180) - the given design is the residual.
• residual design of supplementary of 7-(31,10,840) (# 16049)

---

# 15997: 6-(29,9,1036)

• clan: 8-(31,10,148), 1 times derived, 1 times residual
• derived from supplementary of 7-(30,10,735) (# 15994)
• residual design of supplementary of 7-(30,9,105) (# 16046)

---

# 15998: 6-(29,10,5180)

• clan: 8-(31,10,148), 2 times residual
• residual design of supplementary of 7-(30,10,735) (# 15994)

---

# 15999: 5-(28,10,13965)

• clan: 8-(31,10,105), 3 times residual
• residual design of 6-(29,10,3675) (# 15995)
• residual design of supplementary of 6-(29,10,5180) (# 15998)

---

---

created: Fri Oct 23 11:14:08 CEST 2009