t designs with small t, id ge 10800

• clan: 13-(32,16,726), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,13608) (# 10798)
• supplementary design of 6-(26,12,9720) (# 14694) with respect to smaller t
• residual design of 6-(27,12,40656) (# 14695)
• design 6-(26,12,29040) (# 14696) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,58080) (# 14698) : der= 5-(25,11,29040) and res= 5-(25,12,58080) - the given design is the residual.

# 10801: 6-(28,12,18711)

• clan: 13-(32,16,243), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,13608) (# 10798) : der= 6-(27,11,5103) and res= 6-(27,12,13608) - the given design is the residual.
• design 7-(28,12,5103) (# 14697) with respect to smaller t

# 10802: 5-(28,12,183678)

• clan: 13-(32,16,726), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,127776) (# 10799) : der= 5-(27,11,55902) and res= 5-(27,12,127776) - the given design is the residual.
• supplementary design of 6-(28,12,18711) (# 10801) with respect to smaller t
• design 6-(28,12,55902) (# 14699) with respect to smaller t

# 10803: 6-(27,12,15708)

• clan: 11-(30,15,1122), 2 times reduced t, 3 times derived
• $ASL(3,3)$

# 10804: 5-(27,12,121176)

• clan: 11-(30,15,2754), 3 times reduced t, 3 times derived
• supplementary design of 6-(27,12,15708) (# 10803) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,38556) (# 10805) : der= 5-(26,11,38556) and res= 5-(26,12,82620) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,82620) (# 10806) : der= 5-(26,11,38556) and res= 5-(26,12,82620) - the given design is the residual.

# 10805: 5-(26,11,38556)

• clan: 11-(30,15,2754), 2 times reduced t, 4 times derived
• derived from supplementary of 6-(27,12,15708) (# 10803)

# 10806: 5-(26,12,82620)

• clan: 11-(30,15,2754), 2 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(27,12,15708) (# 10803)

# 10807: 5-(27,13,227205)

• clan: 11-(30,15,2754), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,12,82620) (# 10806) : der= 5-(26,12,82620) and res= 5-(26,13,144585) - the given design is the derived.

# 10808: 5-(28,14,580635)

• clan: 11-(30,15,2754), 4 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,227205) (# 10807)

# 10809: 5-(28,13,348381)

• clan: 11-(30,15,2754), 4 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(27,13,227205) (# 10807) : der= 5-(27,12,121176) and res= 5-(27,13,227205) - the given design is the residual.

# 10810: 5-(29,14,929016)

• clan: 11-(30,15,2754), 5 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(28,14,580635) (# 10808) : der= 5-(28,13,348381) and res= 5-(28,14,580635) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,348381) (# 10809) : der= 5-(28,13,348381) and res= 5-(28,14,580635) - the given design is the derived.

# 10811: 5-(30,15,2322540)

• clan: 11-(30,15,2754), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,929016) (# 10810)

# 10812: 6-(27,12,15876)

• clan: 11-(30,15,1134), 2 times reduced t, 3 times derived
• \cite{Sebille98} $AGL(3,3)$
• design 7-(27,12,4536) (# 14710) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,11,4536) (# 14711) : der= 6-(26,11,4536) and res= 6-(26,12,11340) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,12,11340) (# 14712) : der= 6-(26,11,4536) and res= 6-(26,12,11340) - the given design is the residual.

# 10813: 5-(27,12,49896)

• clan: 11-(30,15,1134), 3 times reduced t, 3 times derived
• design 6-(27,12,15876) (# 10812) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,15876) (# 10814) : der= 5-(26,11,15876) and res= 5-(26,12,34020) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,34020) (# 10815) : der= 5-(26,11,15876) and res= 5-(26,12,34020) - the given design is the residual.
• supplementary design of 6-(27,12,38388) (# 14713) with respect to smaller t

# 10814: 5-(26,11,15876)

• clan: 11-(30,15,1134), 2 times reduced t, 4 times derived
• derived from 6-(27,12,15876) (# 10812)
• design 6-(26,11,4536) (# 14711) with respect to smaller t
• derived from supplementary of 6-(27,12,38388) (# 14713)
• supplementary design of 6-(26,11,10968) (# 14714) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,11340) (# 14716) : der= 5-(25,10,4536) and res= 5-(25,11,11340) - the given design is the residual.

# 10815: 5-(26,12,34020)

• clan: 11-(30,15,1134), 2 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(27,12,15876) (# 10812)
• design 6-(26,12,11340) (# 14712) with respect to smaller t
• residual design of supplementary of 6-(27,12,38388) (# 14713)
• supplementary design of 6-(26,12,27420) (# 14715) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,11340) (# 14716) : der= 5-(25,11,11340) and res= 5-(25,12,22680) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,22680) (# 14719) : der= 5-(25,11,11340) and res= 5-(25,12,22680) - the given design is the residual.

# 10816: 5-(27,12,120648)

• clan: 11-(30,15,2742), 3 times reduced t, 3 times derived
• supplementary design of 6-(27,12,15876) (# 10812) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,38388) (# 10817) : der= 5-(26,11,38388) and res= 5-(26,12,82260) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,82260) (# 10818) : der= 5-(26,11,38388) and res= 5-(26,12,82260) - the given design is the residual.
• design 6-(27,12,38388) (# 14713) with respect to smaller t

# 10817: 5-(26,11,38388)

• clan: 11-(30,15,2742), 2 times reduced t, 4 times derived
• derived from supplementary of 6-(27,12,15876) (# 10812)
• supplementary design of 6-(26,11,4536) (# 14711) with respect to smaller t
• derived from 6-(27,12,38388) (# 14713)
• design 6-(26,11,10968) (# 14714) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,10968) (# 14717) : der= 5-(25,10,10968) and res= 5-(25,11,27420) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,27420) (# 14718) : der= 5-(25,10,10968) and res= 5-(25,11,27420) - the given design is the residual.

# 10818: 5-(26,12,82260)

• clan: 11-(30,15,2742), 2 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(27,12,15876) (# 10812)
• supplementary design of 6-(26,12,11340) (# 14712) with respect to smaller t
• residual design of 6-(27,12,38388) (# 14713)
• design 6-(26,12,27420) (# 14715) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,27420) (# 14718) : der= 5-(25,11,27420) and res= 5-(25,12,54840) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,54840) (# 14720) : der= 5-(25,11,27420) and res= 5-(25,12,54840) - the given design is the residual.

# 10819: 6-(27,12,17976)

• clan: 13-(32,16,321), 2 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$
• design 7-(27,12,5136) (# 14733) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,12,12840) (# 14734) : der= 6-(26,11,5136) and res= 6-(26,12,12840) - the given design is the residual.
• residual design of 7-(28,12,6741) (# 14737)

# 10820: 5-(27,12,56496)

• clan: 13-(32,16,321), 3 times reduced t, 4 times derived, 1 times residual
• design 6-(27,12,17976) (# 10819) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,38520) (# 10821) : der= 5-(26,11,17976) and res= 5-(26,12,38520) - the given design is the residual.
• residual design of 6-(28,12,24717) (# 10824)
• supplementary design of 6-(27,12,36288) (# 14735) with respect to smaller t
• residual design of supplementary of 6-(28,12,49896) (# 14740)

# 10821: 5-(26,12,38520)

• clan: 13-(32,16,321), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,17976) (# 10819)
• design 6-(26,12,12840) (# 14734) with respect to smaller t
• residual design of supplementary of 6-(27,12,36288) (# 14735)
• supplementary design of 6-(26,12,25920) (# 14736) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,25680) (# 14738) : der= 5-(25,11,12840) and res= 5-(25,12,25680) - the given design is the residual.

# 10822: 5-(27,12,114048)

• clan: 13-(32,16,648), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,17976) (# 10819) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,77760) (# 10823) : der= 5-(26,11,36288) and res= 5-(26,12,77760) - the given design is the residual.
• residual design of supplementary of 6-(28,12,24717) (# 10824)
• design 6-(27,12,36288) (# 14735) with respect to smaller t
• residual design of 6-(28,12,49896) (# 14740)

# 10823: 5-(26,12,77760)

• clan: 13-(32,16,648), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,17976) (# 10819)
• supplementary design of 6-(26,12,12840) (# 14734) with respect to smaller t
• residual design of 6-(27,12,36288) (# 14735)
• design 6-(26,12,25920) (# 14736) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,51840) (# 14739) : der= 5-(25,11,25920) and res= 5-(25,12,51840) - the given design is the residual.

# 10824: 6-(28,12,24717)

• clan: 13-(32,16,321), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,17976) (# 10819) : der= 6-(27,11,6741) and res= 6-(27,12,17976) - the given design is the residual.
• design 7-(28,12,6741) (# 14737) with respect to smaller t

# 10825: 5-(28,12,81213)

• clan: 13-(32,16,321), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,56496) (# 10820) : der= 5-(27,11,24717) and res= 5-(27,12,56496) - the given design is the residual.
• design 6-(28,12,24717) (# 10824) with respect to smaller t
• supplementary design of 6-(28,12,49896) (# 14740) with respect to smaller t

# 10826: 5-(28,12,163944)

• clan: 13-(32,16,648), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,114048) (# 10822) : der= 5-(27,11,49896) and res= 5-(27,12,114048) - the given design is the residual.
• supplementary design of 6-(28,12,24717) (# 10824) with respect to smaller t
• design 6-(28,12,49896) (# 14740) with respect to smaller t

# 10827: 6-(27,12,18144)

• clan: 13-(32,16,324), 2 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$
• design 7-(27,12,5184) (# 14761) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,12,12960) (# 14762) : der= 6-(26,11,5184) and res= 6-(26,12,12960) - the given design is the residual.
• residual design of 7-(28,12,6804) (# 14765)
• supplementary design of 7-(27,12,10320) (# 17557) with respect to smaller t
• derived from 7-(28,13,18144) (# 17587)
• derived from supplementary of 7-(28,13,36120) (# 17591)

# 10828: 5-(27,12,57024)

• clan: 13-(32,16,324), 3 times reduced t, 4 times derived, 1 times residual
• design 6-(27,12,18144) (# 10827) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,38880) (# 10829) : der= 5-(26,11,18144) and res= 5-(26,12,38880) - the given design is the residual.
• residual design of 6-(28,12,24948) (# 10832)
• supplementary design of 6-(27,12,36120) (# 14763) with respect to smaller t
• residual design of supplementary of 6-(28,12,49665) (# 14768)
• derived from 6-(28,13,57024) (# 17584)
• derived from supplementary of 6-(28,13,113520) (# 17590)

# 10829: 5-(26,12,38880)

• clan: 13-(32,16,324), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,18144) (# 10827)
• design 6-(26,12,12960) (# 14762) with respect to smaller t
• residual design of supplementary of 6-(27,12,36120) (# 14763)
• supplementary design of 6-(26,12,25800) (# 14764) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,25920) (# 14766) : der= 5-(25,11,12960) and res= 5-(25,12,25920) - the given design is the residual.
• derived from 6-(27,13,38880) (# 17576)
• derived from supplementary of 6-(27,13,77400) (# 17580)

# 10830: 5-(27,12,113520)

• clan: 13-(32,16,645), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,18144) (# 10827) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,77400) (# 10831) : der= 5-(26,11,36120) and res= 5-(26,12,77400) - the given design is the residual.
• residual design of supplementary of 6-(28,12,24948) (# 10832)
• design 6-(27,12,36120) (# 14763) with respect to smaller t
• residual design of 6-(28,12,49665) (# 14768)
• derived from supplementary of 6-(28,13,57024) (# 17584)
• derived from 6-(28,13,113520) (# 17590)

# 10831: 5-(26,12,77400)

• clan: 13-(32,16,645), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,18144) (# 10827)
• supplementary design of 6-(26,12,12960) (# 14762) with respect to smaller t
• residual design of 6-(27,12,36120) (# 14763)
• design 6-(26,12,25800) (# 14764) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,51600) (# 14767) : der= 5-(25,11,25800) and res= 5-(25,12,51600) - the given design is the residual.
• derived from supplementary of 6-(27,13,38880) (# 17576)
• derived from 6-(27,13,77400) (# 17580)

# 10832: 6-(28,12,24948)

• clan: 13-(32,16,324), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,18144) (# 10827) : der= 6-(27,11,6804) and res= 6-(27,12,18144) - the given design is the residual.
• design 7-(28,12,6804) (# 14765) with respect to smaller t
• derived from 7-(29,13,24948) (# 17599)

# 10833: 5-(28,12,81972)

• clan: 13-(32,16,324), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,57024) (# 10828) : der= 5-(27,11,24948) and res= 5-(27,12,57024) - the given design is the residual.
• design 6-(28,12,24948) (# 10832) with respect to smaller t
• supplementary design of 6-(28,12,49665) (# 14768) with respect to smaller t
• derived from 6-(29,13,81972) (# 17598)
• derived from supplementary of 6-(29,13,163185) (# 17602)

# 10834: 5-(28,12,163185)

• clan: 13-(32,16,645), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,113520) (# 10830) : der= 5-(27,11,49665) and res= 5-(27,12,113520) - the given design is the residual.
• supplementary design of 6-(28,12,24948) (# 10832) with respect to smaller t
• design 6-(28,12,49665) (# 14768) with respect to smaller t
• derived from supplementary of 6-(29,13,81972) (# 17598)
• derived from 6-(29,13,163185) (# 17602)

# 10835: 6-(27,12,20244)

• clan: 11-(30,15,1446), 2 times reduced t, 3 times derived
• $ASL(3,3)$

# 10836: 5-(27,12,63624)

• clan: 11-(30,15,1446), 3 times reduced t, 3 times derived
• design 6-(27,12,20244) (# 10835) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,20244) (# 10837) : der= 5-(26,11,20244) and res= 5-(26,12,43380) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,43380) (# 10838) : der= 5-(26,11,20244) and res= 5-(26,12,43380) - the given design is the residual.

# 10837: 5-(26,11,20244)

• clan: 11-(30,15,1446), 2 times reduced t, 4 times derived
• derived from 6-(27,12,20244) (# 10835)

# 10838: 5-(26,12,43380)

• clan: 11-(30,15,1446), 2 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(27,12,20244) (# 10835)

# 10839: 5-(27,12,106920)

• clan: 11-(30,15,2430), 3 times reduced t, 3 times derived
• supplementary design of 6-(27,12,20244) (# 10835) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,34020) (# 10840) : der= 5-(26,11,34020) and res= 5-(26,12,72900) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,72900) (# 10841) : der= 5-(26,11,34020) and res= 5-(26,12,72900) - the given design is the residual.

# 10840: 5-(26,11,34020)

• clan: 11-(30,15,2430), 2 times reduced t, 4 times derived
• derived from supplementary of 6-(27,12,20244) (# 10835)

# 10841: 5-(26,12,72900)

• clan: 11-(30,15,2430), 2 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(27,12,20244) (# 10835)

# 10842: 6-(27,12,20412)

• clan: 11-(30,15,1458), 2 times reduced t, 3 times derived
• $ASL(3,3)$
• design 7-(27,12,5832) (# 14789) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,11,5832) (# 14790) : der= 6-(26,11,5832) and res= 6-(26,12,14580) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,12,14580) (# 14791) : der= 6-(26,11,5832) and res= 6-(26,12,14580) - the given design is the residual.
• derived from 7-(28,13,20412) (# 17916)
• derived from supplementary of 7-(28,13,33852) (# 17918)
• supplementary design of 7-(27,12,9672) (# 17919) with respect to smaller t

# 10843: 5-(27,12,64152)

• clan: 11-(30,15,1458), 3 times reduced t, 3 times derived
• design 6-(27,12,20412) (# 10842) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,20412) (# 10844) : der= 5-(26,11,20412) and res= 5-(26,12,43740) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,43740) (# 10845) : der= 5-(26,11,20412) and res= 5-(26,12,43740) - the given design is the residual.
• derived from 6-(28,13,64152) (# 11254)
• supplementary design of 6-(27,12,33852) (# 14792) with respect to smaller t
• derived from supplementary of 6-(28,13,106392) (# 14800)

# 10844: 5-(26,11,20412)

• clan: 11-(30,15,1458), 2 times reduced t, 4 times derived
• derived from 6-(27,12,20412) (# 10842)
• design 6-(26,11,5832) (# 14790) with respect to smaller t
• derived from supplementary of 6-(27,12,33852) (# 14792)
• supplementary design of 6-(26,11,9672) (# 14793) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,14580) (# 14795) : der= 5-(25,10,5832) and res= 5-(25,11,14580) - the given design is the residual.

# 10845: 5-(26,12,43740)

• clan: 11-(30,15,1458), 2 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(27,12,20412) (# 10842)
• derived from 6-(27,13,43740) (# 11247)
• derived from supplementary of 6-(27,13,72540) (# 11263)
• design 6-(26,12,14580) (# 14791) with respect to smaller t
• residual design of supplementary of 6-(27,12,33852) (# 14792)
• supplementary design of 6-(26,12,24180) (# 14794) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,14580) (# 14795) : der= 5-(25,11,14580) and res= 5-(25,12,29160) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,29160) (# 14798) : der= 5-(25,11,14580) and res= 5-(25,12,29160) - the given design is the residual.

# 10846: 5-(27,12,106392)

• clan: 11-(30,15,2418), 3 times reduced t, 3 times derived
• supplementary design of 6-(27,12,20412) (# 10842) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,33852) (# 10847) : der= 5-(26,11,33852) and res= 5-(26,12,72540) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,72540) (# 10848) : der= 5-(26,11,33852) and res= 5-(26,12,72540) - the given design is the residual.
• derived from supplementary of 6-(28,13,64152) (# 11254)
• design 6-(27,12,33852) (# 14792) with respect to smaller t
• derived from 6-(28,13,106392) (# 14800)

# 10847: 5-(26,11,33852)

• clan: 11-(30,15,2418), 2 times reduced t, 4 times derived
• derived from supplementary of 6-(27,12,20412) (# 10842)
• supplementary design of 6-(26,11,5832) (# 14790) with respect to smaller t
• derived from 6-(27,12,33852) (# 14792)
• design 6-(26,11,9672) (# 14793) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,9672) (# 14796) : der= 5-(25,10,9672) and res= 5-(25,11,24180) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,24180) (# 14797) : der= 5-(25,10,9672) and res= 5-(25,11,24180) - the given design is the residual.

# 10848: 5-(26,12,72540)

• clan: 11-(30,15,2418), 2 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(27,12,20412) (# 10842)
• derived from supplementary of 6-(27,13,43740) (# 11247)
• derived from 6-(27,13,72540) (# 11263)
• supplementary design of 6-(26,12,14580) (# 14791) with respect to smaller t
• residual design of 6-(27,12,33852) (# 14792)
• design 6-(26,12,24180) (# 14794) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,24180) (# 14797) : der= 5-(25,11,24180) and res= 5-(25,12,48360) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,48360) (# 14799) : der= 5-(25,11,24180) and res= 5-(25,12,48360) - the given design is the residual.

# 10849: 6-(27,12,22512)

• clan: 13-(32,16,402), 2 times reduced t, 4 times derived, 1 times residual
• $ASL(3,3)$
• design 7-(27,12,6432) (# 14801) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,12,16080) (# 14802) : der= 6-(26,11,6432) and res= 6-(26,12,16080) - the given design is the residual.
• residual design of 7-(28,12,8442) (# 14805)

# 10850: 5-(27,12,70752)

• clan: 13-(32,16,402), 3 times reduced t, 4 times derived, 1 times residual
• design 6-(27,12,22512) (# 10849) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,22512) (# 10851) : der= 5-(26,11,22512) and res= 5-(26,12,48240) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,48240) (# 10852) : der= 5-(26,11,22512) and res= 5-(26,12,48240) - the given design is the residual.
• residual design of 6-(28,12,30954) (# 14196)
• supplementary design of 6-(27,12,31752) (# 14803) with respect to smaller t
• residual design of supplementary of 6-(28,12,43659) (# 14808)
• derived from 6-(28,13,70752) (# 15743)
• derived from supplementary of 6-(28,13,99792) (# 15747)

# 10851: 5-(26,11,22512)

• clan: 13-(32,16,402), 2 times reduced t, 5 times derived, 1 times residual
• derived from 6-(27,12,22512) (# 10849)
• residual design of 6-(27,11,8442) (# 14188)
• design 6-(26,11,6432) (# 14190) with respect to smaller t
• residual design of supplementary of 6-(27,11,11907) (# 14191)
• supplementary design of 6-(26,11,9072) (# 14193) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,16080) (# 14199) : der= 5-(25,10,6432) and res= 5-(25,11,16080) - the given design is the residual.
• derived from supplementary of 6-(27,12,31752) (# 14803)

# 10852: 5-(26,12,48240)

• clan: 13-(32,16,402), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,22512) (# 10849)
• design 6-(26,12,16080) (# 14802) with respect to smaller t
• residual design of supplementary of 6-(27,12,31752) (# 14803)
• supplementary design of 6-(26,12,22680) (# 14804) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,32160) (# 14806) : der= 5-(25,11,16080) and res= 5-(25,12,32160) - the given design is the residual.
• derived from 6-(27,13,48240) (# 15736)
• derived from supplementary of 6-(27,13,68040) (# 15739)

# 10853: 5-(27,12,99792)

• clan: 13-(32,16,567), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,22512) (# 10849) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,31752) (# 10854) : der= 5-(26,11,31752) and res= 5-(26,12,68040) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,68040) (# 10855) : der= 5-(26,11,31752) and res= 5-(26,12,68040) - the given design is the residual.
• residual design of supplementary of 6-(28,12,30954) (# 14196)
• design 6-(27,12,31752) (# 14803) with respect to smaller t
• residual design of 6-(28,12,43659) (# 14808)
• derived from supplementary of 6-(28,13,70752) (# 15743)
• derived from 6-(28,13,99792) (# 15747)

# 10854: 5-(26,11,31752)

• clan: 13-(32,16,567), 2 times reduced t, 5 times derived, 1 times residual
• derived from supplementary of 6-(27,12,22512) (# 10849)
• residual design of supplementary of 6-(27,11,8442) (# 14188)
• supplementary design of 6-(26,11,6432) (# 14190) with respect to smaller t
• residual design of 6-(27,11,11907) (# 14191)
• design 6-(26,11,9072) (# 14193) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,9072) (# 14198) : der= 5-(25,10,9072) and res= 5-(25,11,22680) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,22680) (# 14200) : der= 5-(25,10,9072) and res= 5-(25,11,22680) - the given design is the residual.
• derived from 6-(27,12,31752) (# 14803)

# 10855: 5-(26,12,68040)

• clan: 13-(32,16,567), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,22512) (# 10849)
• supplementary design of 6-(26,12,16080) (# 14802) with respect to smaller t
• residual design of 6-(27,12,31752) (# 14803)
• design 6-(26,12,22680) (# 14804) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,45360) (# 14807) : der= 5-(25,11,22680) and res= 5-(25,12,45360) - the given design is the residual.
• derived from supplementary of 6-(27,13,48240) (# 15736)
• derived from 6-(27,13,68040) (# 15739)

# 10856: 5-(27,11,30954)

• clan: 13-(32,16,402), 3 times reduced t, 5 times derived
• Tran van Trung construction (left) for 5-(26,11,22512) (# 10851) : der= 5-(26,10,8442) and res= 5-(26,11,22512) - the given design is the residual.
• design 6-(27,11,8442) (# 14188) with respect to smaller t
• supplementary design of 6-(27,11,11907) (# 14191) with respect to smaller t
• derived from 6-(28,12,30954) (# 14196)
• derived from supplementary of 6-(28,12,43659) (# 14808)

# 10857: 5-(28,12,101706)

• clan: 13-(32,16,402), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,30954) (# 10856) : der= 5-(27,11,30954) and res= 5-(27,12,70752) - the given design is the derived.
• design 6-(28,12,30954) (# 14196) with respect to smaller t
• supplementary design of 6-(28,12,43659) (# 14808) with respect to smaller t
• derived from 6-(29,13,101706) (# 15748)
• derived from supplementary of 6-(29,13,143451) (# 15750)

# 10858: 6-(27,12,22680)

• clan: 13-(32,16,405), 2 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$
• design 7-(27,12,6480) (# 14829) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,12,16200) (# 14830) : der= 6-(26,11,6480) and res= 6-(26,12,16200) - the given design is the residual.
• residual design of 7-(28,12,8505) (# 14833)
• derived from 7-(28,13,22680) (# 15411)

# 10859: 5-(27,12,71280)

• clan: 13-(32,16,405), 3 times reduced t, 4 times derived, 1 times residual
• design 6-(27,12,22680) (# 10858) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,48600) (# 10860) : der= 5-(26,11,22680) and res= 5-(26,12,48600) - the given design is the residual.
• residual design of 6-(28,12,31185) (# 10863)
• derived from 6-(28,13,71280) (# 11884)
• supplementary design of 6-(27,12,31584) (# 14831) with respect to smaller t
• residual design of supplementary of 6-(28,12,43428) (# 14836)
• derived from supplementary of 6-(28,13,99264) (# 15413)

# 10860: 5-(26,12,48600)

• clan: 13-(32,16,405), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,22680) (# 10858)
• design 6-(26,12,16200) (# 14830) with respect to smaller t
• residual design of supplementary of 6-(27,12,31584) (# 14831)
• supplementary design of 6-(26,12,22560) (# 14832) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,32400) (# 14834) : der= 5-(25,11,16200) and res= 5-(25,12,32400) - the given design is the residual.
• derived from 6-(27,13,48600) (# 15412)
• derived from supplementary of 6-(27,13,67680) (# 15414)

# 10861: 5-(27,12,99264)

• clan: 13-(32,16,564), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,22680) (# 10858) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,67680) (# 10862) : der= 5-(26,11,31584) and res= 5-(26,12,67680) - the given design is the residual.
• residual design of supplementary of 6-(28,12,31185) (# 10863)
• derived from supplementary of 6-(28,13,71280) (# 11884)
• design 6-(27,12,31584) (# 14831) with respect to smaller t
• residual design of 6-(28,12,43428) (# 14836)
• derived from 6-(28,13,99264) (# 15413)

# 10862: 5-(26,12,67680)

• clan: 13-(32,16,564), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,22680) (# 10858)
• supplementary design of 6-(26,12,16200) (# 14830) with respect to smaller t
• residual design of 6-(27,12,31584) (# 14831)
• design 6-(26,12,22560) (# 14832) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,45120) (# 14835) : der= 5-(25,11,22560) and res= 5-(25,12,45120) - the given design is the residual.
• derived from supplementary of 6-(27,13,48600) (# 15412)
• derived from 6-(27,13,67680) (# 15414)

# 10863: 6-(28,12,31185)

• clan: 13-(32,16,405), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,22680) (# 10858) : der= 6-(27,11,8505) and res= 6-(27,12,22680) - the given design is the residual.
• design 7-(28,12,8505) (# 14833) with respect to smaller t
• derived from 7-(29,13,31185) (# 15415)

# 10864: 5-(28,12,102465)

• clan: 13-(32,16,405), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,71280) (# 10859) : der= 5-(27,11,31185) and res= 5-(27,12,71280) - the given design is the residual.
• design 6-(28,12,31185) (# 10863) with respect to smaller t
• derived from 6-(29,13,102465) (# 11889)
• supplementary design of 6-(28,12,43428) (# 14836) with respect to smaller t
• derived from supplementary of 6-(29,13,142692) (# 15418)

# 10865: 5-(28,12,142692)

• clan: 13-(32,16,564), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,99264) (# 10861) : der= 5-(27,11,43428) and res= 5-(27,12,99264) - the given design is the residual.
• supplementary design of 6-(28,12,31185) (# 10863) with respect to smaller t
• derived from supplementary of 6-(29,13,102465) (# 11889)
• design 6-(28,12,43428) (# 14836) with respect to smaller t
• derived from 6-(29,13,142692) (# 15418)

# 10866: 6-(27,12,24780)

• clan: 11-(30,15,1770), 2 times reduced t, 3 times derived
• $ASL(3,3)$
• design 7-(27,12,7080) (# 14839) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,11,7080) (# 14840) : der= 6-(26,11,7080) and res= 6-(26,12,17700) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,12,17700) (# 14841) : der= 6-(26,11,7080) and res= 6-(26,12,17700) - the given design is the residual.
• derived from 7-(28,13,24780) (# 15458)
• derived from supplementary of 7-(28,13,29484) (# 17929)
• supplementary design of 7-(27,12,8424) (# 17930) with respect to smaller t

# 10867: 5-(27,12,77880)

• clan: 11-(30,15,1770), 3 times reduced t, 3 times derived
• design 6-(27,12,24780) (# 10866) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,24780) (# 10868) : der= 5-(26,11,24780) and res= 5-(26,12,53100) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,53100) (# 10869) : der= 5-(26,11,24780) and res= 5-(26,12,53100) - the given design is the residual.
• derived from 6-(28,13,77880) (# 11411)
• supplementary design of 6-(27,12,29484) (# 14842) with respect to smaller t
• derived from supplementary of 6-(28,13,92664) (# 14850)

# 10868: 5-(26,11,24780)

• clan: 11-(30,15,1770), 2 times reduced t, 4 times derived
• derived from 6-(27,12,24780) (# 10866)
• design 6-(26,11,7080) (# 14840) with respect to smaller t
• derived from supplementary of 6-(27,12,29484) (# 14842)
• supplementary design of 6-(26,11,8424) (# 14843) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,17700) (# 14845) : der= 5-(25,10,7080) and res= 5-(25,11,17700) - the given design is the residual.

# 10869: 5-(26,12,53100)

• clan: 11-(30,15,1770), 2 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(27,12,24780) (# 10866)
• derived from 6-(27,13,53100) (# 11404)
• derived from supplementary of 6-(27,13,63180) (# 11420)
• design 6-(26,12,17700) (# 14841) with respect to smaller t
• residual design of supplementary of 6-(27,12,29484) (# 14842)
• supplementary design of 6-(26,12,21060) (# 14844) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,17700) (# 14845) : der= 5-(25,11,17700) and res= 5-(25,12,35400) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,35400) (# 14848) : der= 5-(25,11,17700) and res= 5-(25,12,35400) - the given design is the residual.

# 10870: 5-(27,12,92664)

• clan: 11-(30,15,2106), 3 times reduced t, 3 times derived
• supplementary design of 6-(27,12,24780) (# 10866) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,29484) (# 10871) : der= 5-(26,11,29484) and res= 5-(26,12,63180) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,63180) (# 10872) : der= 5-(26,11,29484) and res= 5-(26,12,63180) - the given design is the residual.
• derived from supplementary of 6-(28,13,77880) (# 11411)
• design 6-(27,12,29484) (# 14842) with respect to smaller t
• derived from 6-(28,13,92664) (# 14850)

# 10871: 5-(26,11,29484)

• clan: 11-(30,15,2106), 2 times reduced t, 4 times derived
• derived from supplementary of 6-(27,12,24780) (# 10866)
• supplementary design of 6-(26,11,7080) (# 14840) with respect to smaller t
• derived from 6-(27,12,29484) (# 14842)
• design 6-(26,11,8424) (# 14843) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,8424) (# 14846) : der= 5-(25,10,8424) and res= 5-(25,11,21060) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,21060) (# 14847) : der= 5-(25,10,8424) and res= 5-(25,11,21060) - the given design is the residual.

# 10872: 5-(26,12,63180)

• clan: 11-(30,15,2106), 2 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(27,12,24780) (# 10866)
• derived from supplementary of 6-(27,13,53100) (# 11404)
• derived from 6-(27,13,63180) (# 11420)
• supplementary design of 6-(26,12,17700) (# 14841) with respect to smaller t
• residual design of 6-(27,12,29484) (# 14842)
• design 6-(26,12,21060) (# 14844) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,21060) (# 14847) : der= 5-(25,11,21060) and res= 5-(25,12,42120) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,42120) (# 14849) : der= 5-(25,11,21060) and res= 5-(25,12,42120) - the given design is the residual.

# 10873: 6-(27,12,24948)

• clan: 11-(30,15,1782), 2 times reduced t, 3 times derived
• $ASL(3,3)$
• design 7-(27,12,7128) (# 14851) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,11,7128) (# 14852) : der= 6-(26,11,7128) and res= 6-(26,12,17820) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,12,17820) (# 14853) : der= 6-(26,11,7128) and res= 6-(26,12,17820) - the given design is the residual.
• supplementary design of 7-(27,12,8376) (# 14867) with respect to smaller t
• derived from 7-(28,13,24948) (# 14961)
• derived from supplementary of 7-(28,13,29316) (# 17938)

# 10874: 5-(27,12,92136)

• clan: 11-(30,15,2094), 3 times reduced t, 3 times derived
• supplementary design of 6-(27,12,24948) (# 10873) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,29316) (# 10875) : der= 5-(26,11,29316) and res= 5-(26,12,62820) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,62820) (# 10876) : der= 5-(26,11,29316) and res= 5-(26,12,62820) - the given design is the residual.
• derived from supplementary of 6-(28,13,78408) (# 11444)
• design 6-(27,12,29316) (# 14854) with respect to smaller t
• derived from 6-(28,13,92136) (# 14859)

# 10875: 5-(26,11,29316)

• clan: 11-(30,15,2094), 2 times reduced t, 4 times derived
• derived from supplementary of 6-(27,12,24948) (# 10873)
• supplementary design of 6-(26,11,7128) (# 14852) with respect to smaller t
• derived from 6-(27,12,29316) (# 14854)
• design 6-(26,11,8376) (# 14855) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,8376) (# 14857) : der= 5-(25,10,8376) and res= 5-(25,11,20940) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,20940) (# 14858) : der= 5-(25,10,8376) and res= 5-(25,11,20940) - the given design is the residual.

# 10876: 5-(26,12,62820)

• clan: 11-(30,15,2094), 2 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(27,12,24948) (# 10873)
• derived from supplementary of 6-(27,13,53460) (# 11441)
• derived from 6-(27,13,62820) (# 11450)
• supplementary design of 6-(26,12,17820) (# 14853) with respect to smaller t
• residual design of 6-(27,12,29316) (# 14854)
• design 6-(26,12,20940) (# 14856) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,20940) (# 14858) : der= 5-(25,11,20940) and res= 5-(25,12,41880) - the given design is the derived.

# 10877: 5-(27,13,172755)

• clan: 11-(30,15,2094), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,12,62820) (# 10876) : der= 5-(26,12,62820) and res= 5-(26,13,109935) - the given design is the derived.
• supplementary design of 6-(27,13,53460) (# 11441) with respect to smaller t
• derived from supplementary of 6-(28,14,147015) (# 11442)
• residual design of supplementary of 6-(28,13,78408) (# 11444)
• derived from 6-(28,14,172755) (# 11449)
• design 6-(27,13,62820) (# 11450) with respect to smaller t
• residual design of 6-(28,13,92136) (# 14859)

# 10878: 5-(28,14,441485)

• clan: 11-(30,15,2094), 4 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,172755) (# 10877)
• supplementary design of 6-(28,14,147015) (# 11442) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,268730) (# 11446) : der= 5-(27,13,172755) and res= 5-(27,14,268730) - the given design is the residual.
• residual design of supplementary of 6-(29,14,225423) (# 11447)
• design 6-(28,14,172755) (# 11449) with respect to smaller t
• derived from supplementary of 6-(29,15,375705) (# 11459)
• residual design of 6-(29,14,264891) (# 11461)
• derived from 6-(29,15,441485) (# 11462)

# 10879: 5-(28,13,264891)

• clan: 11-(30,15,2094), 4 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(27,13,172755) (# 10877) : der= 5-(27,12,92136) and res= 5-(27,13,172755) - the given design is the residual.
• supplementary design of 6-(28,13,78408) (# 11444) with respect to smaller t
• derived from supplementary of 6-(29,14,225423) (# 11447)
• derived from 6-(29,14,264891) (# 11461)
• design 6-(28,13,92136) (# 14859) with respect to smaller t

# 10880: 5-(29,14,706376)

• clan: 11-(30,15,2094), 5 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(28,14,441485) (# 10878) : der= 5-(28,13,264891) and res= 5-(28,14,441485) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,264891) (# 10879) : der= 5-(28,13,264891) and res= 5-(28,14,441485) - the given design is the derived.
• supplementary design of 6-(29,14,225423) (# 11447) with respect to smaller t
• derived from supplementary of 6-(30,15,601128) (# 11452)
• derived from 6-(30,15,706376) (# 11460)
• design 6-(29,14,264891) (# 11461) with respect to smaller t

# 10881: 5-(30,15,1765940)

• clan: 11-(30,15,2094), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,706376) (# 10880)
• supplementary design of 6-(30,15,601128) (# 11452) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,15,1059564) (# 11458) : der= 5-(29,14,706376) and res= 5-(29,15,1059564) - the given design is the residual.
• design 6-(30,15,706376) (# 11460) with respect to smaller t

# 10882: 6-(27,12,27048)

• clan: 13-(32,16,483), 2 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$
• Tran van Trung construction (right) for 6-(26,11,7728) (# 14351) : der= 6-(26,11,7728) and res= 6-(26,12,19320) - the given design is the derived.
• design 7-(27,12,7728) (# 14860) with respect to smaller t
• residual design of 7-(28,12,10143) (# 14861)
• derived from 7-(28,13,27048) (# 14862)
• supplementary design of 7-(27,12,7776) (# 17633) with respect to smaller t
• derived from supplementary of 7-(28,13,27216) (# 17640)

# 10883: 5-(27,12,85008)

• clan: 13-(32,16,483), 3 times reduced t, 4 times derived, 1 times residual
• design 6-(27,12,27048) (# 10882) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,57960) (# 10884) : der= 5-(26,11,27048) and res= 5-(26,12,57960) - the given design is the residual.
• residual design of 6-(28,12,37191) (# 10887)
• derived from 6-(28,13,85008) (# 11511)
• supplementary design of 6-(27,12,27216) (# 14357) with respect to smaller t
• residual design of supplementary of 6-(28,12,37422) (# 14358)
• derived from supplementary of 6-(28,13,85536) (# 14359)

# 10884: 5-(26,12,57960)

• clan: 13-(32,16,483), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,27048) (# 10882)
• derived from 6-(27,13,57960) (# 11504)
• derived from supplementary of 6-(27,13,58320) (# 11520)
• design 6-(26,12,19320) (# 13737) with respect to smaller t
• supplementary design of 6-(26,12,19440) (# 13740) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,19320) (# 13743) : der= 5-(25,11,19320) and res= 5-(25,12,38640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,38640) (# 13744) : der= 5-(25,11,19320) and res= 5-(25,12,38640) - the given design is the residual.
• residual design of supplementary of 6-(27,12,27216) (# 14357)

# 10885: 5-(27,12,85536)

• clan: 13-(32,16,486), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,27048) (# 10882) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,58320) (# 10886) : der= 5-(26,11,27216) and res= 5-(26,12,58320) - the given design is the residual.
• residual design of supplementary of 6-(28,12,37191) (# 10887)
• derived from supplementary of 6-(28,13,85008) (# 11511)
• design 6-(27,12,27216) (# 14357) with respect to smaller t
• residual design of 6-(28,12,37422) (# 14358)
• derived from 6-(28,13,85536) (# 14359)

# 10886: 5-(26,12,58320)

• clan: 13-(32,16,486), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,27048) (# 10882)
• derived from supplementary of 6-(27,13,57960) (# 11504)
• derived from 6-(27,13,58320) (# 11520)
• supplementary design of 6-(26,12,19320) (# 13737) with respect to smaller t
• design 6-(26,12,19440) (# 13740) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,11,19440) (# 13745) : der= 5-(25,11,19440) and res= 5-(25,12,38880) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,38880) (# 13746) : der= 5-(25,11,19440) and res= 5-(25,12,38880) - the given design is the residual.
• residual design of 6-(27,12,27216) (# 14357)

# 10887: 6-(28,12,37191)

• clan: 13-(32,16,483), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,27048) (# 10882) : der= 6-(27,11,10143) and res= 6-(27,12,27048) - the given design is the residual.
• design 7-(28,12,10143) (# 14861) with respect to smaller t
• derived from 7-(29,13,37191) (# 14863)

# 10888: 5-(28,12,122199)

• clan: 13-(32,16,483), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,85008) (# 10883) : der= 5-(27,11,37191) and res= 5-(27,12,85008) - the given design is the residual.
• design 6-(28,12,37191) (# 10887) with respect to smaller t
• derived from 6-(29,13,122199) (# 11523)
• supplementary design of 6-(28,12,37422) (# 14358) with respect to smaller t
• derived from supplementary of 6-(29,13,122958) (# 14360)

# 10889: 5-(28,12,122958)

• clan: 13-(32,16,486), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,85536) (# 10885) : der= 5-(27,11,37422) and res= 5-(27,12,85536) - the given design is the residual.
• supplementary design of 6-(28,12,37191) (# 10887) with respect to smaller t
• derived from supplementary of 6-(29,13,122199) (# 11523)
• design 6-(28,12,37422) (# 14358) with respect to smaller t
• derived from 6-(29,13,122958) (# 14360)

# 10890: 6-(27,12,4368)

• clan: 13-(32,16,78), 2 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$ 19 isomorphism types, $ASL(3,3)$ 45383 isomorphism types

# 10891: 5-(27,12,156816)

• clan: 13-(32,16,891), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,4368) (# 10890) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,11,49896) (# 10892) : der= 5-(26,11,49896) and res= 5-(26,12,106920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,106920) (# 10893) : der= 5-(26,11,49896) and res= 5-(26,12,106920) - the given design is the residual.
• derived from supplementary of 6-(28,13,13728) (# 11588)

# 10892: 5-(26,11,49896)

• clan: 13-(32,16,891), 2 times reduced t, 5 times derived, 1 times residual
• derived from supplementary of 6-(27,12,4368) (# 10890)

# 10893: 5-(26,12,106920)

• clan: 13-(32,16,891), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,4368) (# 10890)
• derived from supplementary of 6-(27,13,9360) (# 11583)
• derived from 6-(27,13,106920) (# 11595)

# 10894: 6-(27,12,4536)

• clan: 13-(32,16,81), 2 times reduced t, 4 times derived, 1 times residual
• $AGL(3,3)$ 49 isomorphism types, $ASL(3,3)$ 2176495 isomorphism types

# 10895: 5-(27,12,14256)

• clan: 13-(32,16,81), 3 times reduced t, 4 times derived, 1 times residual
• design 6-(27,12,4536) (# 10894) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,9720) (# 10896) : der= 5-(26,11,4536) and res= 5-(26,12,9720) - the given design is the residual.
• residual design of 6-(28,12,6237) (# 10899)

# 10896: 5-(26,12,9720)

• clan: 13-(32,16,81), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,4536) (# 10894)

# 10897: 5-(27,12,156288)

• clan: 13-(32,16,888), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(27,12,4536) (# 10894) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,106560) (# 10898) : der= 5-(26,11,49728) and res= 5-(26,12,106560) - the given design is the residual.
• residual design of supplementary of 6-(28,12,6237) (# 10899)

# 10898: 5-(26,12,106560)

• clan: 13-(32,16,888), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,4536) (# 10894)

# 10899: 6-(28,12,6237)

• clan: 13-(32,16,81), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,4536) (# 10894) : der= 6-(27,11,1701) and res= 6-(27,12,4536) - the given design is the residual.

created: Fri Oct 23 11:12:35 CEST 2009