t designs with small t, id ge 16300

clan: 10-(36,12,245), 1 times reduced t, 3 times derived
supplementary design of 7-(33,9,80) (# 16307) with respect to smaller t
Tran van Trung construction (right) for 6-(32,8,245) (# 16311) : der= 6-(32,8,245) and res= 6-(32,9,1960) - the given design is the derived.
Tran van Trung construction (left) for 6-(32,9,1960) (# 16312) : der= 6-(32,8,245) and res= 6-(32,9,1960) - the given design is the residual.
derived from supplementary of 7-(34,10,720) (# 16374)

# 16311: 6-(32,8,245)

clan: 10-(36,12,245), 4 times derived
derived from supplementary of 7-(33,9,80) (# 16307)

# 16312: 6-(32,9,1960)

clan: 10-(36,12,245), 3 times derived, 1 times residual
residual design of supplementary of 7-(33,9,80) (# 16307)

# 16313: 5-(31,7,80)

clan: 10-(36,12,80), 5 times derived
derived from 6-(32,8,80) (# 16308)
derived from supplementary of 6-(32,8,245) (# 16311)

# 16314: 5-(31,8,640)

clan: 10-(36,12,80), 4 times derived, 1 times residual
residual design of 6-(32,8,80) (# 16308)
derived from 6-(32,9,640) (# 16309)
residual design of supplementary of 6-(32,8,245) (# 16311)
derived from supplementary of 6-(32,9,1960) (# 16312)

# 16315: 5-(31,7,245)

clan: 10-(36,12,245), 5 times derived
derived from supplementary of 6-(32,8,80) (# 16308)
derived from 6-(32,8,245) (# 16311)

# 16316: 5-(31,8,1960)

clan: 10-(36,12,245), 4 times derived, 1 times residual
residual design of supplementary of 6-(32,8,80) (# 16308)
derived from supplementary of 6-(32,9,640) (# 16309)
residual design of 6-(32,8,245) (# 16311)
derived from 6-(32,9,1960) (# 16312)

# 16317: 5-(31,9,3680)

clan: 10-(36,12,80), 3 times derived, 2 times residual
residual design of 6-(32,9,640) (# 16309)
residual design of supplementary of 6-(32,9,1960) (# 16312)

# 16318: 5-(31,9,11270)

clan: 10-(36,12,245), 3 times derived, 2 times residual
residual design of supplementary of 6-(32,9,640) (# 16309)
residual design of 6-(32,9,1960) (# 16312)

# 16319: 7-(33,9,85)

clan: 10-(36,12,85), 3 times derived
$P\Gamma L(2,32)$ (many isomorphism types)

# 16320: 6-(32,8,85)

clan: 10-(36,12,85), 4 times derived
derived from 7-(33,9,85) (# 16319)

# 16321: 6-(32,9,680)

clan: 10-(36,12,85), 3 times derived, 1 times residual
residual design of 7-(33,9,85) (# 16319)

# 16322: 6-(33,9,2160)

clan: 10-(36,12,240), 1 times reduced t, 3 times derived
supplementary design of 7-(33,9,85) (# 16319) with respect to smaller t
Tran van Trung construction (right) for 6-(32,8,240) (# 16323) : der= 6-(32,8,240) and res= 6-(32,9,1920) - the given design is the derived.
Tran van Trung construction (left) for 6-(32,9,1920) (# 16324) : der= 6-(32,8,240) and res= 6-(32,9,1920) - the given design is the residual.

# 16323: 6-(32,8,240)

clan: 10-(36,12,240), 4 times derived
derived from supplementary of 7-(33,9,85) (# 16319)

# 16324: 6-(32,9,1920)

clan: 10-(36,12,240), 3 times derived, 1 times residual
residual design of supplementary of 7-(33,9,85) (# 16319)

# 16325: 5-(31,7,85)

clan: 10-(36,12,85), 5 times derived
derived from 6-(32,8,85) (# 16320)
derived from supplementary of 6-(32,8,240) (# 16323)

# 16326: 5-(31,8,680)

clan: 10-(36,12,85), 4 times derived, 1 times residual
residual design of 6-(32,8,85) (# 16320)
derived from 6-(32,9,680) (# 16321)
residual design of supplementary of 6-(32,8,240) (# 16323)
derived from supplementary of 6-(32,9,1920) (# 16324)

# 16327: 5-(31,7,240)

clan: 10-(36,12,240), 5 times derived
derived from supplementary of 6-(32,8,85) (# 16320)
derived from 6-(32,8,240) (# 16323)

# 16328: 5-(31,8,1920)

clan: 10-(36,12,240), 4 times derived, 1 times residual
residual design of supplementary of 6-(32,8,85) (# 16320)
derived from supplementary of 6-(32,9,680) (# 16321)
residual design of 6-(32,8,240) (# 16323)
derived from 6-(32,9,1920) (# 16324)

# 16329: 5-(31,9,3910)

clan: 10-(36,12,85), 3 times derived, 2 times residual
residual design of 6-(32,9,680) (# 16321)
residual design of supplementary of 6-(32,9,1920) (# 16324)

# 16330: 5-(31,9,11040)

clan: 10-(36,12,240), 3 times derived, 2 times residual
residual design of supplementary of 6-(32,9,680) (# 16321)
residual design of 6-(32,9,1920) (# 16324)

# 16331: 7-(34,9,171)

clan: 10-(37,12,171), 3 times derived
$P\Gamma L(2,32)+$ (many isomorphism types)

# 16332: 6-(34,9,1596)

clan: 10-(37,12,171), 1 times reduced t, 3 times derived
design 7-(34,9,171) (# 16331) with respect to smaller t
Tran van Trung construction (right) for 6-(33,8,171) (# 16333) : der= 6-(33,8,171) and res= 6-(33,9,1425) - the given design is the derived.
derived from 7-(35,10,1596) (# 16606)

# 16333: 6-(33,8,171)

clan: 10-(37,12,171), 4 times derived
derived from 7-(34,9,171) (# 16331)

# 16334: 6-(34,9,1680)

clan: 10-(37,12,180), 1 times reduced t, 3 times derived
supplementary design of 7-(34,9,171) (# 16331) with respect to smaller t
Tran van Trung construction (right) for 6-(33,8,180) (# 16335) : der= 6-(33,8,180) and res= 6-(33,9,1500) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,9,1500) (# 16336) : der= 6-(33,8,180) and res= 6-(33,9,1500) - the given design is the residual.
derived from supplementary of 7-(35,10,1596) (# 16606)

# 16335: 6-(33,8,180)

clan: 10-(37,12,180), 4 times derived
derived from supplementary of 7-(34,9,171) (# 16331)

# 16336: 6-(33,9,1500)

clan: 10-(37,12,180), 3 times derived, 1 times residual
residual design of supplementary of 7-(34,9,171) (# 16331)
derived from supplementary of 7-(34,10,1425) (# 16601)

# 16337: 5-(34,9,12180)

clan: 10-(37,12,180), 2 times reduced t, 3 times derived
supplementary design of 6-(34,9,1596) (# 16332) with respect to smaller t
design 6-(34,9,1680) (# 16334) with respect to smaller t
Tran van Trung construction (right) for 5-(33,8,1680) (# 16338) : der= 5-(33,8,1680) and res= 5-(33,9,10500) - the given design is the derived.
derived from supplementary of 6-(35,10,11571) (# 16611)
derived from 6-(35,10,12180) (# 16614)

# 16338: 5-(33,8,1680)

clan: 10-(37,12,180), 1 times reduced t, 4 times derived
derived from supplementary of 6-(34,9,1596) (# 16332)
supplementary design of 6-(33,8,171) (# 16333) with respect to smaller t
derived from 6-(34,9,1680) (# 16334)
design 6-(33,8,180) (# 16335) with respect to smaller t
Tran van Trung construction (right) for 5-(32,7,180) (# 16339) : der= 5-(32,7,180) and res= 5-(32,8,1500) - the given design is the derived.

# 16339: 5-(32,7,180)

clan: 10-(37,12,180), 5 times derived
derived from supplementary of 6-(33,8,171) (# 16333)
derived from 6-(33,8,180) (# 16335)

# 16340: 7-(34,10,525)

clan: 10-(37,12,63), 2 times derived, 1 times residual
$ {\bf P\Gamma L(2,32)}^+ \geq 1$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16341: 6-(33,9,525)

clan: 10-(37,12,63), 3 times derived, 1 times residual
derived from 7-(34,10,525) (# 16340)

# 16342: 6-(34,10,16800)

clan: 10-(37,12,288), 1 times reduced t, 2 times derived, 1 times residual
supplementary design of 7-(34,10,525) (# 16340) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2400) (# 16343) : der= 6-(33,9,2400) and res= 6-(33,10,14400) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,14400) (# 16344) : der= 6-(33,9,2400) and res= 6-(33,10,14400) - the given design is the residual.

# 16343: 6-(33,9,2400)

clan: 10-(37,12,288), 3 times derived, 1 times residual
derived from supplementary of 7-(34,10,525) (# 16340)

# 16344: 6-(33,10,14400)

clan: 10-(37,12,288), 2 times derived, 2 times residual
residual design of supplementary of 7-(34,10,525) (# 16340)

# 16345: 5-(32,8,2400)

clan: 10-(37,12,288), 4 times derived, 1 times residual
derived from supplementary of 6-(33,9,525) (# 16341)
derived from 6-(33,9,2400) (# 16343)

# 16346: 7-(34,10,600)

clan: 10-(37,12,72), 2 times derived, 1 times residual
$ {\bf P\Gamma L(2,32)}^+ \geq 1$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16347: 6-(33,10,3600)

clan: 10-(37,12,72), 2 times derived, 2 times residual
residual design of 7-(34,10,600) (# 16346)

# 16348: 6-(34,10,16275)

clan: 10-(37,12,279), 1 times reduced t, 2 times derived, 1 times residual
supplementary design of 7-(34,10,600) (# 16346) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2325) (# 16349) : der= 6-(33,9,2325) and res= 6-(33,10,13950) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,13950) (# 16350) : der= 6-(33,9,2325) and res= 6-(33,10,13950) - the given design is the residual.

# 16349: 6-(33,9,2325)

clan: 10-(37,12,279), 3 times derived, 1 times residual
derived from supplementary of 7-(34,10,600) (# 16346)

# 16350: 6-(33,10,13950)

clan: 10-(37,12,279), 2 times derived, 2 times residual
residual design of supplementary of 7-(34,10,600) (# 16346)

# 16351: 5-(32,10,16560)

clan: 10-(37,12,72), 2 times derived, 3 times residual
residual design of 6-(33,10,3600) (# 16347)
residual design of supplementary of 6-(33,10,13950) (# 16350)

# 16352: 5-(32,10,64170)

clan: 10-(37,12,279), 2 times derived, 3 times residual
residual design of supplementary of 6-(33,10,3600) (# 16347)
residual design of 6-(33,10,13950) (# 16350)

# 16353: 7-(34,10,645)

clan: 9-(36,12,645), 2 times derived
$ {\bf P\Gamma L(2,32)}^+ \geq 1$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16354: 6-(33,10,3870)

clan: 9-(36,12,645), 2 times derived, 1 times residual
residual design of 7-(34,10,645) (# 16353)

# 16355: 6-(34,10,15960)

clan: 9-(36,12,2280), 1 times reduced t, 2 times derived
supplementary design of 7-(34,10,645) (# 16353) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2280) (# 16356) : der= 6-(33,9,2280) and res= 6-(33,10,13680) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,13680) (# 16357) : der= 6-(33,9,2280) and res= 6-(33,10,13680) - the given design is the residual.

# 16356: 6-(33,9,2280)

clan: 9-(36,12,2280), 3 times derived
derived from supplementary of 7-(34,10,645) (# 16353)

# 16357: 6-(33,10,13680)

clan: 9-(36,12,2280), 2 times derived, 1 times residual
residual design of supplementary of 7-(34,10,645) (# 16353)

# 16358: 5-(32,10,17802)

clan: 9-(36,12,645), 2 times derived, 2 times residual
residual design of 6-(33,10,3870) (# 16354)
residual design of supplementary of 6-(33,10,13680) (# 16357)

# 16359: 5-(32,10,62928)

clan: 9-(36,12,2280), 2 times derived, 2 times residual
residual design of supplementary of 6-(33,10,3870) (# 16354)
residual design of 6-(33,10,13680) (# 16357)

# 16360: 7-(34,10,660)

clan: 9-(36,12,660), 2 times derived
$ {\bf P\Gamma L(2,32)}^+ \geq 1$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16361: 6-(33,10,3960)

clan: 9-(36,12,660), 2 times derived, 1 times residual
residual design of 7-(34,10,660) (# 16360)

# 16362: 6-(34,10,15855)

clan: 9-(36,12,2265), 1 times reduced t, 2 times derived
supplementary design of 7-(34,10,660) (# 16360) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2265) (# 16363) : der= 6-(33,9,2265) and res= 6-(33,10,13590) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,13590) (# 16364) : der= 6-(33,9,2265) and res= 6-(33,10,13590) - the given design is the residual.

# 16363: 6-(33,9,2265)

clan: 9-(36,12,2265), 3 times derived
derived from supplementary of 7-(34,10,660) (# 16360)

# 16364: 6-(33,10,13590)

clan: 9-(36,12,2265), 2 times derived, 1 times residual
residual design of supplementary of 7-(34,10,660) (# 16360)

# 16365: 5-(32,10,18216)

clan: 9-(36,12,660), 2 times derived, 2 times residual
residual design of 6-(33,10,3960) (# 16361)
residual design of supplementary of 6-(33,10,13590) (# 16364)

# 16366: 5-(32,10,62514)

clan: 9-(36,12,2265), 2 times derived, 2 times residual
residual design of supplementary of 6-(33,10,3960) (# 16361)
residual design of 6-(33,10,13590) (# 16364)

# 16367: 7-(34,10,705)

clan: 9-(36,12,705), 2 times derived
$ {\bf P\Gamma L(2,32)}^+ \geq 27$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16368: 6-(33,10,4230)

clan: 9-(36,12,705), 2 times derived, 1 times residual
residual design of 7-(34,10,705) (# 16367)

# 16369: 6-(34,10,15540)

clan: 9-(36,12,2220), 1 times reduced t, 2 times derived
supplementary design of 7-(34,10,705) (# 16367) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2220) (# 16370) : der= 6-(33,9,2220) and res= 6-(33,10,13320) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,13320) (# 16371) : der= 6-(33,9,2220) and res= 6-(33,10,13320) - the given design is the residual.

# 16370: 6-(33,9,2220)

clan: 9-(36,12,2220), 3 times derived
derived from supplementary of 7-(34,10,705) (# 16367)

# 16371: 6-(33,10,13320)

clan: 9-(36,12,2220), 2 times derived, 1 times residual
residual design of supplementary of 7-(34,10,705) (# 16367)

# 16372: 5-(32,10,19458)

clan: 9-(36,12,705), 2 times derived, 2 times residual
residual design of 6-(33,10,4230) (# 16368)
residual design of supplementary of 6-(33,10,13320) (# 16371)

# 16373: 5-(32,10,61272)

clan: 9-(36,12,2220), 2 times derived, 2 times residual
residual design of supplementary of 6-(33,10,4230) (# 16368)
residual design of 6-(33,10,13320) (# 16371)

# 16374: 7-(34,10,720)

clan: 10-(36,12,80), 1 times reduced t, 2 times derived
$ {\bf P\Gamma L(2,32)}^+ \geq 6$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16375: 6-(33,10,4320)

clan: 10-(36,12,80), 1 times reduced t, 2 times derived, 1 times residual
residual design of 7-(34,10,720) (# 16374)

# 16376: 6-(34,10,15435)

clan: 10-(36,12,245), 2 times reduced t, 2 times derived
supplementary design of 7-(34,10,720) (# 16374) with respect to smaller t
Tran van Trung construction (left) for 6-(33,10,13230) (# 16377) : der= 6-(33,9,2205) and res= 6-(33,10,13230) - the given design is the residual.

# 16377: 6-(33,10,13230)

clan: 10-(36,12,245), 1 times reduced t, 2 times derived, 1 times residual
residual design of supplementary of 7-(34,10,720) (# 16374)

# 16378: 5-(32,10,19872)

clan: 10-(36,12,80), 1 times reduced t, 2 times derived, 2 times residual
residual design of 6-(33,10,4320) (# 16375)
residual design of supplementary of 6-(33,10,13230) (# 16377)

# 16379: 5-(32,10,60858)

clan: 10-(36,12,245), 1 times reduced t, 2 times derived, 2 times residual
residual design of supplementary of 6-(33,10,4320) (# 16375)
residual design of 6-(33,10,13230) (# 16377)

# 16380: 7-(34,10,735)

clan: 9-(36,12,735), 2 times derived
$ {\bf P\Gamma L(2,32)}^+ \geq 30$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16381: 6-(33,9,735)

clan: 9-(36,12,735), 3 times derived
derived from 7-(34,10,735) (# 16380)

# 16382: 6-(33,10,4410)

clan: 9-(36,12,735), 2 times derived, 1 times residual
residual design of 7-(34,10,735) (# 16380)

# 16383: 6-(34,10,15330)

clan: 9-(36,12,2190), 1 times reduced t, 2 times derived
supplementary design of 7-(34,10,735) (# 16380) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2190) (# 16384) : der= 6-(33,9,2190) and res= 6-(33,10,13140) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,13140) (# 16385) : der= 6-(33,9,2190) and res= 6-(33,10,13140) - the given design is the residual.

# 16384: 6-(33,9,2190)

clan: 9-(36,12,2190), 3 times derived
derived from supplementary of 7-(34,10,735) (# 16380)

# 16385: 6-(33,10,13140)

clan: 9-(36,12,2190), 2 times derived, 1 times residual
residual design of supplementary of 7-(34,10,735) (# 16380)

# 16386: 5-(32,9,4410)

clan: 9-(36,12,735), 3 times derived, 1 times residual
residual design of 6-(33,9,735) (# 16381)
derived from 6-(33,10,4410) (# 16382)
residual design of supplementary of 6-(33,9,2190) (# 16384)
derived from supplementary of 6-(33,10,13140) (# 16385)

# 16387: 5-(32,8,2190)

clan: 9-(36,12,2190), 4 times derived
derived from supplementary of 6-(33,9,735) (# 16381)
derived from 6-(33,9,2190) (# 16384)

# 16388: 5-(32,9,13140)

clan: 9-(36,12,2190), 3 times derived, 1 times residual
residual design of supplementary of 6-(33,9,735) (# 16381)
derived from supplementary of 6-(33,10,4410) (# 16382)
residual design of 6-(33,9,2190) (# 16384)
derived from 6-(33,10,13140) (# 16385)

# 16389: 5-(32,10,20286)

clan: 9-(36,12,735), 2 times derived, 2 times residual
residual design of 6-(33,10,4410) (# 16382)
residual design of supplementary of 6-(33,10,13140) (# 16385)

# 16390: 5-(32,10,60444)

clan: 9-(36,12,2190), 2 times derived, 2 times residual
residual design of supplementary of 6-(33,10,4410) (# 16382)
residual design of 6-(33,10,13140) (# 16385)

# 16391: 7-(34,10,780)

clan: 21-(48,24,780), 14 times derived
$ {\bf P\Gamma L(2,32)}^+ \geq 465$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16392: 6-(33,10,4680)

clan: 21-(48,24,780), 14 times derived, 1 times residual
residual design of 7-(34,10,780) (# 16391)

# 16393: 6-(34,10,15015)

clan: 21-(48,24,2145), 1 times reduced t, 14 times derived
supplementary design of 7-(34,10,780) (# 16391) with respect to smaller t
Tran van Trung construction (right) for 6-(33,9,2145) (# 16394) : der= 6-(33,9,2145) and res= 6-(33,10,12870) - the given design is the derived.
Tran van Trung construction (left) for 6-(33,10,12870) (# 16395) : der= 6-(33,9,2145) and res= 6-(33,10,12870) - the given design is the residual.

# 16394: 6-(33,9,2145)

clan: 21-(48,24,2145), 15 times derived
derived from supplementary of 7-(34,10,780) (# 16391)

# 16395: 6-(33,10,12870)

clan: 21-(48,24,2145), 14 times derived, 1 times residual
residual design of supplementary of 7-(34,10,780) (# 16391)

# 16396: 5-(32,10,21528)

clan: 21-(48,24,780), 14 times derived, 2 times residual
residual design of 6-(33,10,4680) (# 16392)
residual design of supplementary of 6-(33,10,12870) (# 16395)

# 16397: 5-(32,10,59202)

clan: 21-(48,24,2145), 14 times derived, 2 times residual
residual design of supplementary of 6-(33,10,4680) (# 16392)
residual design of 6-(33,10,12870) (# 16395)

# 16398: 7-(34,10,825)

clan: 10-(37,12,99), 2 times derived, 1 times residual
$ {\bf P\Gamma L(2,32)}^+ \geq 5$ % -group 4 PGGL 2 32 Add_fixpoint PGGL_2_32+

# 16399: 6-(34,10,5775)

clan: 10-(37,12,99), 1 times reduced t, 2 times derived, 1 times residual
design 7-(34,10,825) (# 16398) with respect to smaller t
Tran van Trung construction (left) for 6-(33,10,4950) (# 16400) : der= 6-(33,9,825) and res= 6-(33,10,4950) - the given design is the residual.

created: Fri Oct 23 11:14:15 CEST 2009