t designs with small t, id ge 6900

# 6900: 5-(24,9,192)

clan: 13-(32,16,48), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6901: 5-(25,9,240)

clan: 13-(32,16,48), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,192) (# 6900) : der= 5-(24,8,48) and res= 5-(24,9,192) - the given design is the residual.

# 6902: 5-(25,10,768)

clan: 13-(32,16,48), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,192) (# 6900) : der= 5-(24,9,192) and res= 5-(24,10,576) - the given design is the derived.

# 6903: 5-(26,10,1008)

clan: 13-(32,16,48), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,240) (# 6901) : der= 5-(25,9,240) and res= 5-(25,10,768) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,768) (# 6902) : der= 5-(25,9,240) and res= 5-(25,10,768) - the given design is the residual.

# 6904: 5-(24,9,1920)

clan: 13-(32,16,480), 7 times derived, 1 times residual
$PGL(2,23)$ (>1 isomorphism types)

# 6905: 5-(25,9,2400)

clan: 13-(32,16,480), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,1920) (# 6904) : der= 5-(24,8,480) and res= 5-(24,9,1920) - the given design is the residual.
derived from 6-(26,10,2400) (# 14335)
derived from supplementary of 6-(26,10,2445) (# 14338)

# 6906: 5-(25,10,7680)

clan: 13-(32,16,480), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,1920) (# 6904) : der= 5-(24,9,1920) and res= 5-(24,10,5760) - the given design is the derived.
residual design of 6-(26,10,2400) (# 14335)
derived from 6-(26,11,7680) (# 14336)
residual design of supplementary of 6-(26,10,2445) (# 14338)
derived from supplementary of 6-(26,11,7824) (# 14339)

# 6907: 5-(26,10,10080)

clan: 13-(32,16,480), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,2400) (# 6905) : der= 5-(25,9,2400) and res= 5-(25,10,7680) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,7680) (# 6906) : der= 5-(25,9,2400) and res= 5-(25,10,7680) - the given design is the residual.
derived from 6-(27,11,10080) (# 14334)
design 6-(26,10,2400) (# 14335) with respect to smaller t
derived from supplementary of 6-(27,11,10269) (# 14337)
supplementary design of 6-(26,10,2445) (# 14338) with respect to smaller t

# 6908: 5-(24,9,1926)

clan: 11-(30,15,1926), 6 times derived
$PGL(2,23)$ (>1 isomorphism types)
derived from 6-(25,10,1926) (# 13713)
derived from supplementary of 6-(25,10,1950) (# 13716)

# 6909: 5-(25,10,7704)

clan: 11-(30,15,1926), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,1926) (# 6908) : der= 5-(24,9,1926) and res= 5-(24,10,5778) - the given design is the derived.
derived from 6-(26,11,7704) (# 13712)
design 6-(25,10,1926) (# 13713) with respect to smaller t
derived from supplementary of 6-(26,11,7800) (# 13715)
supplementary design of 6-(25,10,1950) (# 13716) with respect to smaller t

# 6910: 5-(24,9,1932)

clan: 13-(32,16,483), 7 times derived, 1 times residual
$PGL(2,23)$ (>1 isomorphism types)
derived from 6-(25,10,1932) (# 17636)
derived from supplementary of 6-(25,10,1944) (# 17637)

# 6911: 5-(25,9,2415)

clan: 13-(32,16,483), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,1932) (# 6910) : der= 5-(24,8,483) and res= 5-(24,9,1932) - the given design is the residual.
derived from 6-(26,10,2415) (# 14350)
derived from supplementary of 6-(26,10,2430) (# 14353)

# 6912: 5-(25,10,7728)

clan: 13-(32,16,483), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,1932) (# 6910) : der= 5-(24,9,1932) and res= 5-(24,10,5796) - the given design is the derived.
residual design of 6-(26,10,2415) (# 14350)
derived from 6-(26,11,7728) (# 14351)
residual design of supplementary of 6-(26,10,2430) (# 14353)
derived from supplementary of 6-(26,11,7776) (# 14354)
design 6-(25,10,1932) (# 17636) with respect to smaller t
supplementary design of 6-(25,10,1944) (# 17637) with respect to smaller t

# 6913: 5-(26,10,10143)

clan: 13-(32,16,483), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,2415) (# 6911) : der= 5-(25,9,2415) and res= 5-(25,10,7728) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,7728) (# 6912) : der= 5-(25,9,2415) and res= 5-(25,10,7728) - the given design is the residual.
derived from 6-(27,11,10143) (# 10611)
design 6-(26,10,2415) (# 14350) with respect to smaller t
derived from supplementary of 6-(27,11,10206) (# 14352)
supplementary design of 6-(26,10,2430) (# 14353) with respect to smaller t

# 6914: 5-(24,9,1938)

clan: 14-(30,15,8), 3 times reduced t, 6 times derived
$ {\bf PSL(2,23)} \geq 1$ halving of complete design! % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction (left) for 5-(23,9,1530) (# 8746) : der= 5-(23,8,408) and res= 5-(23,9,1530) - the given design is the residual.
design 6-(24,9,408) (# 8768) with respect to smaller t
supplementary design of 6-(24,9,408) (# 8768) with respect to smaller t
derived from 6-(25,10,1938) (# 9786)
derived from supplementary of 6-(25,10,1938) (# 9786)

# 6915: 5-(25,10,7752)

clan: 14-(30,15,8), 4 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,1938) (# 6914) : der= 5-(24,9,1938) and res= 5-(24,10,5814) - the given design is the derived.
$PSL(2,23)+$ TvT construction 5-(24,9,1938) $\cup$ 5-(24,10,5814) Halving of the complete design
design 6-(25,10,1938) (# 9786) with respect to smaller t
supplementary design of 6-(25,10,1938) (# 9786) with respect to smaller t

# 6916: 5-(24,9,198)

clan: 11-(30,15,198), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6917: 5-(25,10,792)

clan: 11-(30,15,198), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,198) (# 6916) : der= 5-(24,9,198) and res= 5-(24,10,594) - the given design is the derived.

# 6918: 5-(26,11,2772)

clan: 11-(30,15,198), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,792) (# 6917) : der= 5-(25,10,792) and res= 5-(25,11,1980) - the given design is the derived.

# 6919: 5-(27,12,8712)

clan: 11-(30,15,198), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,2772) (# 6918) : der= 5-(26,11,2772) and res= 5-(26,12,5940) - the given design is the derived.

# 6920: 5-(28,13,25047)

clan: 11-(30,15,198), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,8712) (# 6919) : der= 5-(27,12,8712) and res= 5-(27,13,16335) - the given design is the derived.

# 6921: 5-(29,14,66792)

clan: 11-(30,15,198), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,25047) (# 6920) : der= 5-(28,13,25047) and res= 5-(28,14,41745) - the given design is the derived.

# 6922: 5-(30,15,166980)

clan: 11-(30,15,198), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,66792) (# 6921)

# 6923: 5-(24,9,204)

clan: 17-(36,18,1), 9 times derived, 3 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6924: 5-(25,9,255)

clan: 17-(36,18,1), 1 times reduced t, 9 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,9,204) (# 6923) : der= 5-(24,8,51) and res= 5-(24,9,204) - the given design is the residual.
residual design of 6-(26,9,60) (# 10590)

# 6925: 5-(25,10,816)

clan: 17-(36,18,1), 1 times reduced t, 8 times derived, 3 times residual
Tran van Trung construction (right) for 5-(24,9,204) (# 6923) : der= 5-(24,9,204) and res= 5-(24,10,612) - the given design is the derived.

# 6926: 5-(26,9,315)

clan: 17-(36,18,1), 2 times reduced t, 9 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,9,255) (# 6924) : der= 5-(25,8,60) and res= 5-(25,9,255) - the given design is the residual.
$PGL(2,25)$
design 6-(26,9,60) (# 10590) with respect to smaller t

# 6927: 5-(26,10,1071)

clan: 17-(36,18,1), 2 times reduced t, 8 times derived, 2 times residual
Tran van Trung construction (right) for 5-(25,9,255) (# 6924) : der= 5-(25,9,255) and res= 5-(25,10,816) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,816) (# 6925) : der= 5-(25,9,255) and res= 5-(25,10,816) - the given design is the residual.

# 6928: 5-(27,9,385)

clan: 17-(36,18,1), 3 times reduced t, 9 times derived
Tran van Trung construction (left) for 5-(26,9,315) (# 6926) : der= 5-(26,8,70) and res= 5-(26,9,315) - the given design is the residual.

# 6929: 5-(27,10,1386)

clan: 17-(36,18,1), 3 times reduced t, 8 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,9,315) (# 6926) : der= 5-(26,9,315) and res= 5-(26,10,1071) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,10,1071) (# 6927) : der= 5-(26,9,315) and res= 5-(26,10,1071) - the given design is the residual.

# 6930: 5-(28,10,1771)

clan: 17-(36,18,1), 4 times reduced t, 8 times derived
Tran van Trung construction (right) for 5-(27,9,385) (# 6928) : der= 5-(27,9,385) and res= 5-(27,10,1386) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,10,1386) (# 6929) : der= 5-(27,9,385) and res= 5-(27,10,1386) - the given design is the residual.

# 6931: 5-(24,9,210)

clan: 11-(30,15,210), 6 times derived
$PGL(2,23)$ (>1 isomorphism types)

# 6932: 5-(25,10,840)

clan: 11-(30,15,210), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,210) (# 6931) : der= 5-(24,9,210) and res= 5-(24,10,630) - the given design is the derived.

# 6933: 5-(24,9,216)

clan: 13-(32,16,54), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6934: 5-(25,9,270)

clan: 13-(32,16,54), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,216) (# 6933) : der= 5-(24,8,54) and res= 5-(24,9,216) - the given design is the residual.

# 6935: 5-(25,10,864)

clan: 13-(32,16,54), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,216) (# 6933) : der= 5-(24,9,216) and res= 5-(24,10,648) - the given design is the derived.

# 6936: 5-(26,10,1134)

clan: 13-(32,16,54), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,270) (# 6934) : der= 5-(25,9,270) and res= 5-(25,10,864) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,864) (# 6935) : der= 5-(25,9,270) and res= 5-(25,10,864) - the given design is the residual.

# 6937: 5-(24,9,222)

clan: 11-(30,15,222), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6938: 5-(25,10,888)

clan: 11-(30,15,222), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,222) (# 6937) : der= 5-(24,9,222) and res= 5-(24,10,666) - the given design is the derived.

# 6939: 5-(24,9,228)

clan: 15-(32,16,1), 2 times reduced t, 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6940: 5-(25,9,285)

clan: 15-(32,16,1), 3 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,228) (# 6939) : der= 5-(24,8,57) and res= 5-(24,9,228) - the given design is the residual.

# 6941: 5-(25,10,912)

clan: 15-(32,16,1), 3 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,228) (# 6939) : der= 5-(24,9,228) and res= 5-(24,10,684) - the given design is the derived.

# 6942: 5-(26,10,1197)

clan: 15-(32,16,1), 4 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,285) (# 6940) : der= 5-(25,9,285) and res= 5-(25,10,912) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,912) (# 6941) : der= 5-(25,9,285) and res= 5-(25,10,912) - the given design is the residual.

# 6943: 5-(24,9,234)

clan: 11-(30,15,234), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6944: 5-(25,10,936)

clan: 11-(30,15,234), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,234) (# 6943) : der= 5-(24,9,234) and res= 5-(24,10,702) - the given design is the derived.

# 6945: 5-(24,9,2376)

clan: 13-(32,16,594), 7 times derived, 1 times residual
$M_{11,12}\times id_2$

# 6946: 5-(25,9,2970)

clan: 13-(32,16,594), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,2376) (# 6945) : der= 5-(24,8,594) and res= 5-(24,9,2376) - the given design is the residual.
derived from supplementary of 6-(26,10,1875) (# 10521)
derived from 6-(26,10,2970) (# 14130)

# 6947: 5-(24,9,240)

clan: 13-(32,16,60), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6948: 5-(25,9,300)

clan: 13-(32,16,60), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,240) (# 6947) : der= 5-(24,8,60) and res= 5-(24,9,240) - the given design is the residual.

# 6949: 5-(25,10,960)

clan: 13-(32,16,60), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,240) (# 6947) : der= 5-(24,9,240) and res= 5-(24,10,720) - the given design is the derived.

# 6950: 5-(26,10,1260)

clan: 13-(32,16,60), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,300) (# 6948) : der= 5-(25,9,300) and res= 5-(25,10,960) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,960) (# 6949) : der= 5-(25,9,300) and res= 5-(25,10,960) - the given design is the residual.

# 6951: 5-(24,9,246)

clan: 11-(30,15,246), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6952: 5-(25,10,984)

clan: 11-(30,15,246), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,246) (# 6951) : der= 5-(24,9,246) and res= 5-(24,10,738) - the given design is the derived.

# 6953: 5-(26,11,3444)

clan: 11-(30,15,246), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,984) (# 6952) : der= 5-(25,10,984) and res= 5-(25,11,2460) - the given design is the derived.

# 6954: 5-(27,12,10824)

clan: 11-(30,15,246), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,3444) (# 6953) : der= 5-(26,11,3444) and res= 5-(26,12,7380) - the given design is the derived.

# 6955: 5-(28,13,31119)

clan: 11-(30,15,246), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,10824) (# 6954) : der= 5-(27,12,10824) and res= 5-(27,13,20295) - the given design is the derived.

# 6956: 5-(29,14,82984)

clan: 11-(30,15,246), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,31119) (# 6955) : der= 5-(28,13,31119) and res= 5-(28,14,51865) - the given design is the derived.

# 6957: 5-(30,15,207460)

clan: 11-(30,15,246), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,82984) (# 6956)

# 6958: 5-(24,9,252)

clan: 13-(32,16,63), 7 times derived, 1 times residual
$PGL(2,23)$ (>1 isomorphism types)

# 6959: 5-(25,9,315)

clan: 13-(32,16,63), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,252) (# 6958) : der= 5-(24,8,63) and res= 5-(24,9,252) - the given design is the residual.

# 6960: 5-(25,10,1008)

clan: 13-(32,16,63), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,252) (# 6958) : der= 5-(24,9,252) and res= 5-(24,10,756) - the given design is the derived.

# 6961: 5-(26,10,1323)

clan: 13-(32,16,63), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,315) (# 6959) : der= 5-(25,9,315) and res= 5-(25,10,1008) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1008) (# 6960) : der= 5-(25,9,315) and res= 5-(25,10,1008) - the given design is the residual.

# 6962: 5-(24,9,258)

clan: 11-(30,15,258), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6963: 5-(25,10,1032)

clan: 11-(30,15,258), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,258) (# 6962) : der= 5-(24,9,258) and res= 5-(24,10,774) - the given design is the derived.

# 6964: 5-(24,9,264)

clan: 13-(32,16,66), 7 times derived, 1 times residual
$PGL(2,23)$ (>1 isomorphism types)

# 6965: 5-(25,9,330)

clan: 13-(32,16,66), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,264) (# 6964) : der= 5-(24,8,66) and res= 5-(24,9,264) - the given design is the residual.

# 6966: 5-(25,10,1056)

clan: 13-(32,16,66), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,264) (# 6964) : der= 5-(24,9,264) and res= 5-(24,10,792) - the given design is the derived.

# 6967: 5-(26,10,1386)

clan: 13-(32,16,66), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,330) (# 6965) : der= 5-(25,9,330) and res= 5-(25,10,1056) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1056) (# 6966) : der= 5-(25,9,330) and res= 5-(25,10,1056) - the given design is the residual.

# 6968: 5-(26,11,3696)

clan: 13-(32,16,66), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,10,1056) (# 6966) : der= 5-(25,10,1056) and res= 5-(25,11,2640) - the given design is the derived.

# 6969: 5-(27,11,5082)

clan: 13-(32,16,66), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(26,10,1386) (# 6967) : der= 5-(26,10,1386) and res= 5-(26,11,3696) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,11,3696) (# 6968) : der= 5-(26,10,1386) and res= 5-(26,11,3696) - the given design is the residual.

# 6970: 5-(27,12,11616)

clan: 13-(32,16,66), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,3696) (# 6968) : der= 5-(26,11,3696) and res= 5-(26,12,7920) - the given design is the derived.

# 6971: 5-(28,12,16698)

clan: 13-(32,16,66), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,5082) (# 6969) : der= 5-(27,11,5082) and res= 5-(27,12,11616) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,11616) (# 6970) : der= 5-(27,11,5082) and res= 5-(27,12,11616) - the given design is the residual.

# 6972: 5-(28,13,33396)

clan: 13-(32,16,66), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,11616) (# 6970) : der= 5-(27,12,11616) and res= 5-(27,13,21780) - the given design is the derived.

# 6973: 5-(29,13,50094)

clan: 13-(32,16,66), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,16698) (# 6971) : der= 5-(28,12,16698) and res= 5-(28,13,33396) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,13,33396) (# 6972) : der= 5-(28,12,16698) and res= 5-(28,13,33396) - the given design is the residual.

# 6974: 5-(29,14,89056)

clan: 13-(32,16,66), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(28,13,33396) (# 6972) : der= 5-(28,13,33396) and res= 5-(28,14,55660) - the given design is the derived.

# 6975: 5-(30,14,139150)

clan: 13-(32,16,66), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,50094) (# 6973) : der= 5-(29,13,50094) and res= 5-(29,14,89056) - the given design is the derived.
Tran van Trung construction (left) for 5-(29,14,89056) (# 6974) : der= 5-(29,13,50094) and res= 5-(29,14,89056) - the given design is the residual.

# 6976: 5-(30,15,222640)

clan: 13-(32,16,66), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(29,14,89056) (# 6974)

# 6977: 5-(31,15,361790)

clan: 13-(32,16,66), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,139150) (# 6975) : der= 5-(30,14,139150) and res= 5-(30,15,222640) - the given design is the derived.
Tran van Trung construction (left) for 5-(30,15,222640) (# 6976) : der= 5-(30,14,139150) and res= 5-(30,15,222640) - the given design is the residual.

# 6978: 5-(32,16,888030)

clan: 13-(32,16,66), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,361790) (# 6977)

# 6979: 5-(24,9,270)

clan: 11-(30,15,270), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6980: 5-(25,10,1080)

clan: 11-(30,15,270), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,270) (# 6979) : der= 5-(24,9,270) and res= 5-(24,10,810) - the given design is the derived.

# 6981: 5-(24,9,276)

clan: 13-(32,16,69), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6982: 5-(25,9,345)

clan: 13-(32,16,69), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,276) (# 6981) : der= 5-(24,8,69) and res= 5-(24,9,276) - the given design is the residual.

# 6983: 5-(25,10,1104)

clan: 13-(32,16,69), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,276) (# 6981) : der= 5-(24,9,276) and res= 5-(24,10,828) - the given design is the derived.

# 6984: 5-(26,10,1449)

clan: 13-(32,16,69), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,345) (# 6982) : der= 5-(25,9,345) and res= 5-(25,10,1104) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1104) (# 6983) : der= 5-(25,9,345) and res= 5-(25,10,1104) - the given design is the residual.

# 6985: 5-(24,9,282)

clan: 11-(30,15,282), 6 times derived
$PGL(2,23)$ (>1 isomorphism types)

# 6986: 5-(25,10,1128)

clan: 11-(30,15,282), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,282) (# 6985) : der= 5-(24,9,282) and res= 5-(24,10,846) - the given design is the derived.

# 6987: 5-(24,9,288)

clan: 13-(32,16,72), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6988: 5-(25,9,360)

clan: 13-(32,16,72), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,288) (# 6987) : der= 5-(24,8,72) and res= 5-(24,9,288) - the given design is the residual.

# 6989: 5-(25,10,1152)

clan: 13-(32,16,72), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,288) (# 6987) : der= 5-(24,9,288) and res= 5-(24,10,864) - the given design is the derived.

# 6990: 5-(26,10,1512)

clan: 13-(32,16,72), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,360) (# 6988) : der= 5-(25,9,360) and res= 5-(25,10,1152) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1152) (# 6989) : der= 5-(25,9,360) and res= 5-(25,10,1152) - the given design is the residual.

# 6991: 5-(24,9,294)

clan: 11-(30,15,294), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6992: 5-(25,10,1176)

clan: 11-(30,15,294), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,294) (# 6991) : der= 5-(24,9,294) and res= 5-(24,10,882) - the given design is the derived.

# 6993: 5-(24,9,300)

clan: 13-(32,16,75), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6994: 5-(25,9,375)

clan: 13-(32,16,75), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,300) (# 6993) : der= 5-(24,8,75) and res= 5-(24,9,300) - the given design is the residual.

# 6995: 5-(25,10,1200)

clan: 13-(32,16,75), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,300) (# 6993) : der= 5-(24,9,300) and res= 5-(24,10,900) - the given design is the derived.

# 6996: 5-(26,10,1575)

clan: 13-(32,16,75), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,375) (# 6994) : der= 5-(25,9,375) and res= 5-(25,10,1200) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1200) (# 6995) : der= 5-(25,9,375) and res= 5-(25,10,1200) - the given design is the residual.

# 6997: 5-(24,9,306)

clan: 11-(30,15,306), 6 times derived
$PGL(2,23)$ (>1 isomorphism types)

# 6998: 5-(25,10,1224)

clan: 11-(30,15,306), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,306) (# 6997) : der= 5-(24,9,306) and res= 5-(24,10,918) - the given design is the derived.

# 6999: 5-(24,9,312)

clan: 13-(32,16,78), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:25 CEST 2009