t designs with small t, id ge 6300

• clan: 13-(30,15,4), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,456) (# 6299) : der= 5-(25,10,456) and res= 5-(25,11,1140) - the given design is the derived.

# 6301: 5-(27,12,5016)

• clan: 13-(30,15,4), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,1596) (# 6300) : der= 5-(26,11,1596) and res= 5-(26,12,3420) - the given design is the derived.

# 6302: 5-(28,13,14421)

• clan: 13-(30,15,4), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,5016) (# 6301) : der= 5-(27,12,5016) and res= 5-(27,13,9405) - the given design is the derived.

# 6303: 5-(29,14,38456)

• clan: 13-(30,15,4), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,14421) (# 6302) : der= 5-(28,13,14421) and res= 5-(28,14,24035) - the given design is the derived.

# 6304: 5-(30,15,96140)

• clan: 13-(30,15,4), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,38456) (# 6303)

# 6305: 5-(24,9,1146)

• clan: 11-(30,15,1146), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6306: 5-(25,10,4584)

• clan: 11-(30,15,1146), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1146) (# 6305) : der= 5-(24,9,1146) and res= 5-(24,10,3438) - the given design is the derived.

# 6307: 5-(24,9,1152)

• clan: 13-(32,16,288), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 6308: 5-(25,9,1440)

• clan: 13-(32,16,288), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1152) (# 6307) : der= 5-(24,8,288) and res= 5-(24,9,1152) - the given design is the residual.
• derived from 6-(26,10,1440) (# 13941)
• derived from supplementary of 6-(26,10,3405) (# 13944)

# 6309: 5-(25,10,4608)

• clan: 13-(32,16,288), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1152) (# 6307) : der= 5-(24,9,1152) and res= 5-(24,10,3456) - the given design is the derived.
• residual design of 6-(26,10,1440) (# 13941)
• derived from 6-(26,11,4608) (# 13942)
• residual design of supplementary of 6-(26,10,3405) (# 13944)
• derived from supplementary of 6-(26,11,10896) (# 13945)

# 6310: 5-(26,10,6048)

• clan: 13-(32,16,288), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1440) (# 6308) : der= 5-(25,9,1440) and res= 5-(25,10,4608) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4608) (# 6309) : der= 5-(25,9,1440) and res= 5-(25,10,4608) - the given design is the residual.
• derived from 6-(27,11,6048) (# 10660)
• design 6-(26,10,1440) (# 13941) with respect to smaller t
• derived from supplementary of 6-(27,11,14301) (# 13943)
• supplementary design of 6-(26,10,3405) (# 13944) with respect to smaller t

# 6311: 5-(24,9,1158)

• clan: 11-(30,15,1158), 6 times derived
• $PGL(2,23)$ (>1 isomorphism types)

# 6312: 5-(25,10,4632)

• clan: 11-(30,15,1158), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1158) (# 6311) : der= 5-(24,9,1158) and res= 5-(24,10,3474) - the given design is the derived.

# 6313: 5-(24,9,1164)

• clan: 13-(32,16,291), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6314: 5-(25,9,1455)

• clan: 13-(32,16,291), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1164) (# 6313) : der= 5-(24,8,291) and res= 5-(24,9,1164) - the given design is the residual.

# 6315: 5-(25,10,4656)

• clan: 13-(32,16,291), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1164) (# 6313) : der= 5-(24,9,1164) and res= 5-(24,10,3492) - the given design is the derived.

# 6316: 5-(26,10,6111)

• clan: 13-(32,16,291), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1455) (# 6314) : der= 5-(25,9,1455) and res= 5-(25,10,4656) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4656) (# 6315) : der= 5-(25,9,1455) and res= 5-(25,10,4656) - the given design is the residual.

# 6317: 5-(24,9,1170)

• clan: 11-(30,15,1170), 6 times derived
• $PGL(2,23)$ (>1 isomorphism types)

# 6318: 5-(25,10,4680)

• clan: 11-(30,15,1170), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1170) (# 6317) : der= 5-(24,9,1170) and res= 5-(24,10,3510) - the given design is the derived.

# 6319: 5-(26,11,16380)

• clan: 11-(30,15,1170), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,4680) (# 6318) : der= 5-(25,10,4680) and res= 5-(25,11,11700) - the given design is the derived.

# 6320: 5-(27,12,51480)

• clan: 11-(30,15,1170), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,16380) (# 6319) : der= 5-(26,11,16380) and res= 5-(26,12,35100) - the given design is the derived.

# 6321: 5-(28,13,148005)

• clan: 11-(30,15,1170), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,51480) (# 6320) : der= 5-(27,12,51480) and res= 5-(27,13,96525) - the given design is the derived.

# 6322: 5-(29,14,394680)

• clan: 11-(30,15,1170), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,148005) (# 6321) : der= 5-(28,13,148005) and res= 5-(28,14,246675) - the given design is the derived.

# 6323: 5-(30,15,986700)

• clan: 11-(30,15,1170), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,394680) (# 6322)

# 6324: 5-(24,9,1176)

• clan: 13-(32,16,294), 7 times derived, 1 times residual
• $M_{11,12}\times id_2$
• $PGL(2,23)$ (>1 isomorphism types)
• derived from 6-(25,10,1176) (# 13547)
• derived from supplementary of 6-(25,10,2700) (# 13550)

# 6325: 5-(25,9,1470)

• clan: 13-(32,16,294), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1176) (# 6324) : der= 5-(24,8,294) and res= 5-(24,9,1176) - the given design is the residual.
• derived from 6-(26,10,1470) (# 10496)
• derived from supplementary of 6-(26,10,3375) (# 13952)

# 6326: 5-(25,10,4704)

• clan: 13-(32,16,294), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1176) (# 6324) : der= 5-(24,9,1176) and res= 5-(24,10,3528) - the given design is the derived.
• residual design of 6-(26,10,1470) (# 10496)
• derived from 6-(26,11,4704) (# 13546)
• design 6-(25,10,1176) (# 13547) with respect to smaller t
• derived from supplementary of 6-(26,11,10800) (# 13549)
• supplementary design of 6-(25,10,2700) (# 13550) with respect to smaller t
• residual design of supplementary of 6-(26,10,3375) (# 13952)

# 6327: 5-(26,10,6174)

• clan: 13-(32,16,294), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1470) (# 6325) : der= 5-(25,9,1470) and res= 5-(25,10,4704) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4704) (# 6326) : der= 5-(25,9,1470) and res= 5-(25,10,4704) - the given design is the residual.
• design 6-(26,10,1470) (# 10496) with respect to smaller t
• derived from 6-(27,11,6174) (# 10666)
• derived from supplementary of 6-(27,11,14175) (# 13951)
• supplementary design of 6-(26,10,3375) (# 13952) with respect to smaller t

# 6328: 5-(24,9,1182)

• clan: 11-(30,15,1182), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6329: 5-(25,10,4728)

• clan: 11-(30,15,1182), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1182) (# 6328) : der= 5-(24,9,1182) and res= 5-(24,10,3546) - the given design is the derived.

# 6330: 5-(24,9,1188)

• clan: 13-(32,16,297), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

# 6331: 5-(25,9,1485)

• clan: 13-(32,16,297), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1188) (# 6330) : der= 5-(24,8,297) and res= 5-(24,9,1188) - the given design is the residual.
• derived from 6-(26,10,1485) (# 13954)
• derived from supplementary of 6-(26,10,3360) (# 13957)

# 6332: 5-(25,10,4752)

• clan: 13-(32,16,297), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1188) (# 6330) : der= 5-(24,9,1188) and res= 5-(24,10,3564) - the given design is the derived.
• residual design of 6-(26,10,1485) (# 13954)
• derived from 6-(26,11,4752) (# 13955)
• residual design of supplementary of 6-(26,10,3360) (# 13957)
• derived from supplementary of 6-(26,11,10752) (# 13958)

# 6333: 5-(26,10,6237)

• clan: 13-(32,16,297), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1485) (# 6331) : der= 5-(25,9,1485) and res= 5-(25,10,4752) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4752) (# 6332) : der= 5-(25,9,1485) and res= 5-(25,10,4752) - the given design is the residual.
• derived from 6-(27,11,6237) (# 10671)
• design 6-(26,10,1485) (# 13954) with respect to smaller t
• derived from supplementary of 6-(27,11,14112) (# 13956)
• supplementary design of 6-(26,10,3360) (# 13957) with respect to smaller t

# 6334: 5-(26,11,16632)

• clan: 13-(32,16,297), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,4752) (# 6332) : der= 5-(25,10,4752) and res= 5-(25,11,11880) - the given design is the derived.
• residual design of 6-(27,11,6237) (# 10671)
• design 6-(26,11,4752) (# 13955) with respect to smaller t
• residual design of supplementary of 6-(27,11,14112) (# 13956)
• supplementary design of 6-(26,11,10752) (# 13958) with respect to smaller t

# 6335: 5-(27,11,22869)

• clan: 13-(32,16,297), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,6237) (# 6333) : der= 5-(26,10,6237) and res= 5-(26,11,16632) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,16632) (# 6334) : der= 5-(26,10,6237) and res= 5-(26,11,16632) - the given design is the residual.
• design 6-(27,11,6237) (# 10671) with respect to smaller t
• supplementary design of 6-(27,11,14112) (# 13956) with respect to smaller t

# 6336: 5-(27,12,52272)

• clan: 13-(32,16,297), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,16632) (# 6334) : der= 5-(26,11,16632) and res= 5-(26,12,35640) - the given design is the derived.

# 6337: 5-(28,12,75141)

• clan: 13-(32,16,297), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,22869) (# 6335) : der= 5-(27,11,22869) and res= 5-(27,12,52272) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,52272) (# 6336) : der= 5-(27,11,22869) and res= 5-(27,12,52272) - the given design is the residual.

# 6338: 5-(28,13,150282)

• clan: 13-(32,16,297), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,52272) (# 6336) : der= 5-(27,12,52272) and res= 5-(27,13,98010) - the given design is the derived.

# 6339: 5-(29,13,225423)

• clan: 13-(32,16,297), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,75141) (# 6337) : der= 5-(28,12,75141) and res= 5-(28,13,150282) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,150282) (# 6338) : der= 5-(28,12,75141) and res= 5-(28,13,150282) - the given design is the residual.

# 6340: 5-(29,14,400752)

• clan: 13-(32,16,297), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,150282) (# 6338) : der= 5-(28,13,150282) and res= 5-(28,14,250470) - the given design is the derived.

# 6341: 5-(30,14,626175)

• clan: 13-(32,16,297), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,225423) (# 6339) : der= 5-(29,13,225423) and res= 5-(29,14,400752) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,400752) (# 6340) : der= 5-(29,13,225423) and res= 5-(29,14,400752) - the given design is the residual.

# 6342: 5-(30,15,1001880)

• clan: 13-(32,16,297), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,400752) (# 6340)

# 6343: 5-(31,15,1628055)

• clan: 13-(32,16,297), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,626175) (# 6341) : der= 5-(30,14,626175) and res= 5-(30,15,1001880) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,1001880) (# 6342) : der= 5-(30,14,626175) and res= 5-(30,15,1001880) - the given design is the residual.

# 6344: 5-(32,16,3996135)

• clan: 13-(32,16,297), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1628055) (# 6343)

# 6345: 5-(24,9,1194)

• clan: 11-(30,15,1194), 6 times derived
• $PGL(2,23)$ (>1 isomorphism types)

# 6346: 5-(25,10,4776)

• clan: 11-(30,15,1194), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1194) (# 6345) : der= 5-(24,9,1194) and res= 5-(24,10,3582) - the given design is the derived.

# 6347: 5-(24,9,12)

• clan: 13-(32,16,3), 7 times derived, 1 times residual
• $PGL(2,23)$ (1 isomorphism type) block transitive

# 6348: 5-(25,9,15)

• clan: 13-(32,16,3), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,12) (# 6347) : der= 5-(24,8,3) and res= 5-(24,9,12) - the given design is the residual.

# 6349: 5-(25,10,48)

• clan: 13-(32,16,3), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,12) (# 6347) : der= 5-(24,9,12) and res= 5-(24,10,36) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,12) $\cup$ 5-(24,10,36)

# 6350: 5-(26,10,63)

• clan: 13-(32,16,3), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,15) (# 6348) : der= 5-(25,9,15) and res= 5-(25,10,48) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,48) (# 6349) : der= 5-(25,9,15) and res= 5-(25,10,48) - the given design is the residual.

# 6351: 5-(24,9,120)

• clan: 13-(32,16,30), 7 times derived, 1 times residual
• $PGL(2,23)$ (326 isomorphism types)

# 6352: 5-(25,9,150)

• clan: 13-(32,16,30), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,120) (# 6351) : der= 5-(24,8,30) and res= 5-(24,9,120) - the given design is the residual.

# 6353: 5-(25,10,480)

• clan: 13-(32,16,30), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,120) (# 6351) : der= 5-(24,9,120) and res= 5-(24,10,360) - the given design is the derived.

# 6354: 5-(26,10,630)

• clan: 13-(32,16,30), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,150) (# 6352) : der= 5-(25,9,150) and res= 5-(25,10,480) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,480) (# 6353) : der= 5-(25,9,150) and res= 5-(25,10,480) - the given design is the residual.

# 6355: 5-(24,9,1200)

• clan: 13-(32,16,300), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6356: 5-(25,9,1500)

• clan: 13-(32,16,300), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1200) (# 6355) : der= 5-(24,8,300) and res= 5-(24,9,1200) - the given design is the residual.
• derived from 6-(26,10,1500) (# 13976)
• derived from supplementary of 6-(26,10,3345) (# 13979)

# 6357: 5-(25,10,4800)

• clan: 13-(32,16,300), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1200) (# 6355) : der= 5-(24,9,1200) and res= 5-(24,10,3600) - the given design is the derived.
• residual design of 6-(26,10,1500) (# 13976)
• derived from 6-(26,11,4800) (# 13977)
• residual design of supplementary of 6-(26,10,3345) (# 13979)
• derived from supplementary of 6-(26,11,10704) (# 13980)

# 6358: 5-(26,10,6300)

• clan: 13-(32,16,300), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1500) (# 6356) : der= 5-(25,9,1500) and res= 5-(25,10,4800) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4800) (# 6357) : der= 5-(25,9,1500) and res= 5-(25,10,4800) - the given design is the residual.
• derived from 6-(27,11,6300) (# 13975)
• design 6-(26,10,1500) (# 13976) with respect to smaller t
• derived from supplementary of 6-(27,11,14049) (# 13978)
• supplementary design of 6-(26,10,3345) (# 13979) with respect to smaller t

# 6359: 5-(24,9,1206)

• clan: 11-(30,15,1206), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6360: 5-(25,10,4824)

• clan: 11-(30,15,1206), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1206) (# 6359) : der= 5-(24,9,1206) and res= 5-(24,10,3618) - the given design is the derived.

# 6361: 5-(24,9,1212)

• clan: 13-(32,16,303), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6362: 5-(25,9,1515)

• clan: 13-(32,16,303), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1212) (# 6361) : der= 5-(24,8,303) and res= 5-(24,9,1212) - the given design is the residual.
• derived from 6-(26,10,1515) (# 13992)
• derived from supplementary of 6-(26,10,3330) (# 13995)

# 6363: 5-(25,10,4848)

• clan: 13-(32,16,303), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1212) (# 6361) : der= 5-(24,9,1212) and res= 5-(24,10,3636) - the given design is the derived.
• residual design of 6-(26,10,1515) (# 13992)
• derived from 6-(26,11,4848) (# 13993)
• residual design of supplementary of 6-(26,10,3330) (# 13995)
• derived from supplementary of 6-(26,11,10656) (# 13996)

# 6364: 5-(26,10,6363)

• clan: 13-(32,16,303), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1515) (# 6362) : der= 5-(25,9,1515) and res= 5-(25,10,4848) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4848) (# 6363) : der= 5-(25,9,1515) and res= 5-(25,10,4848) - the given design is the residual.
• derived from 6-(27,11,6363) (# 13991)
• design 6-(26,10,1515) (# 13992) with respect to smaller t
• derived from supplementary of 6-(27,11,13986) (# 13994)
• supplementary design of 6-(26,10,3330) (# 13995) with respect to smaller t

# 6365: 5-(24,9,1218)

• clan: 11-(30,15,1218), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6366: 5-(25,10,4872)

• clan: 11-(30,15,1218), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1218) (# 6365) : der= 5-(24,9,1218) and res= 5-(24,10,3654) - the given design is the derived.

# 6367: 5-(24,9,1224)

• clan: 17-(36,18,6), 9 times derived, 3 times residual
• $PGL(2,23)$ (>1 isomorphism types)
• residual design of 6-(25,9,306) (# 13769)
• residual design of supplementary of 6-(25,9,663) (# 13771)

# 6368: 5-(25,9,1530)

• clan: 17-(36,18,6), 1 times reduced t, 9 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,9,1224) (# 6367) : der= 5-(24,8,306) and res= 5-(24,9,1224) - the given design is the residual.
• residual design of 6-(26,9,360) (# 10575)
• design 6-(25,9,306) (# 13769) with respect to smaller t
• residual design of supplementary of 6-(26,9,780) (# 13770)
• supplementary design of 6-(25,9,663) (# 13771) with respect to smaller t

# 6369: 5-(25,10,4896)

• clan: 17-(36,18,6), 1 times reduced t, 8 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(24,9,1224) (# 6367) : der= 5-(24,9,1224) and res= 5-(24,10,3672) - the given design is the derived.

# 6370: 5-(26,9,1890)

• clan: 17-(36,18,6), 2 times reduced t, 9 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,9,1530) (# 6368) : der= 5-(25,8,360) and res= 5-(25,9,1530) - the given design is the residual.
• $PGL(2,25)$
• design 6-(26,9,360) (# 10575) with respect to smaller t
• residual design of 6-(27,9,420) (# 10578)
• supplementary design of 6-(26,9,780) (# 13770) with respect to smaller t
• residual design of supplementary of 6-(27,9,910) (# 13774)

# 6371: 5-(26,10,6426)

• clan: 17-(36,18,6), 2 times reduced t, 8 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(25,9,1530) (# 6368) : der= 5-(25,9,1530) and res= 5-(25,10,4896) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4896) (# 6369) : der= 5-(25,9,1530) and res= 5-(25,10,4896) - the given design is the residual.

# 6372: 5-(27,9,2310)

• clan: 17-(36,18,6), 3 times reduced t, 9 times derived
• Tran van Trung construction (left) for 5-(26,9,1890) (# 6370) : der= 5-(26,8,420) and res= 5-(26,9,1890) - the given design is the residual.
• $PGL(2,25)+$
• design 6-(27,9,420) (# 10578) with respect to smaller t
• supplementary design of 6-(27,9,910) (# 13774) with respect to smaller t
• derived from 6-(28,10,2310) (# 15840)
• derived from supplementary of 6-(28,10,5005) (# 15843)

# 6373: 5-(27,10,8316)

• clan: 17-(36,18,6), 3 times reduced t, 8 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,9,1890) (# 6370) : der= 5-(26,9,1890) and res= 5-(26,10,6426) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,10,6426) (# 6371) : der= 5-(26,9,1890) and res= 5-(26,10,6426) - the given design is the residual.
• residual design of 6-(28,10,2310) (# 15840)
• derived from 6-(28,11,8316) (# 15841)
• residual design of supplementary of 6-(28,10,5005) (# 15843)
• derived from supplementary of 6-(28,11,18018) (# 15844)

# 6374: 5-(28,10,10626)

• clan: 17-(36,18,6), 4 times reduced t, 8 times derived
• Tran van Trung construction (right) for 5-(27,9,2310) (# 6372) : der= 5-(27,9,2310) and res= 5-(27,10,8316) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,10,8316) (# 6373) : der= 5-(27,9,2310) and res= 5-(27,10,8316) - the given design is the residual.
• derived from 6-(29,11,10626) (# 15839)
• design 6-(28,10,2310) (# 15840) with respect to smaller t
• derived from supplementary of 6-(29,11,23023) (# 15842)
• supplementary design of 6-(28,10,5005) (# 15843) with respect to smaller t

# 6375: 5-(24,9,1230)

• clan: 11-(30,15,1230), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6376: 5-(25,10,4920)

• clan: 11-(30,15,1230), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1230) (# 6375) : der= 5-(24,9,1230) and res= 5-(24,10,3690) - the given design is the derived.

# 6377: 5-(24,9,1236)

• clan: 13-(32,16,309), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6378: 5-(25,9,1545)

• clan: 13-(32,16,309), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1236) (# 6377) : der= 5-(24,8,309) and res= 5-(24,9,1236) - the given design is the residual.

# 6379: 5-(25,10,4944)

• clan: 13-(32,16,309), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1236) (# 6377) : der= 5-(24,9,1236) and res= 5-(24,10,3708) - the given design is the derived.

# 6380: 5-(26,10,6489)

• clan: 13-(32,16,309), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1545) (# 6378) : der= 5-(25,9,1545) and res= 5-(25,10,4944) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4944) (# 6379) : der= 5-(25,9,1545) and res= 5-(25,10,4944) - the given design is the residual.

# 6381: 5-(26,11,17304)

• clan: 13-(32,16,309), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,4944) (# 6379) : der= 5-(25,10,4944) and res= 5-(25,11,12360) - the given design is the derived.

# 6382: 5-(27,11,23793)

• clan: 13-(32,16,309), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,6489) (# 6380) : der= 5-(26,10,6489) and res= 5-(26,11,17304) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,17304) (# 6381) : der= 5-(26,10,6489) and res= 5-(26,11,17304) - the given design is the residual.

# 6383: 5-(27,12,54384)

• clan: 13-(32,16,309), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,17304) (# 6381) : der= 5-(26,11,17304) and res= 5-(26,12,37080) - the given design is the derived.

# 6384: 5-(28,12,78177)

• clan: 13-(32,16,309), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,23793) (# 6382) : der= 5-(27,11,23793) and res= 5-(27,12,54384) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,54384) (# 6383) : der= 5-(27,11,23793) and res= 5-(27,12,54384) - the given design is the residual.

# 6385: 5-(28,13,156354)

• clan: 13-(32,16,309), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,54384) (# 6383) : der= 5-(27,12,54384) and res= 5-(27,13,101970) - the given design is the derived.

# 6386: 5-(29,13,234531)

• clan: 13-(32,16,309), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,78177) (# 6384) : der= 5-(28,12,78177) and res= 5-(28,13,156354) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,156354) (# 6385) : der= 5-(28,12,78177) and res= 5-(28,13,156354) - the given design is the residual.

# 6387: 5-(29,14,416944)

• clan: 13-(32,16,309), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,156354) (# 6385) : der= 5-(28,13,156354) and res= 5-(28,14,260590) - the given design is the derived.

# 6388: 5-(30,14,651475)

• clan: 13-(32,16,309), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,234531) (# 6386) : der= 5-(29,13,234531) and res= 5-(29,14,416944) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,416944) (# 6387) : der= 5-(29,13,234531) and res= 5-(29,14,416944) - the given design is the residual.

# 6389: 5-(30,15,1042360)

• clan: 13-(32,16,309), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,416944) (# 6387)

# 6390: 5-(31,15,1693835)

• clan: 13-(32,16,309), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,651475) (# 6388) : der= 5-(30,14,651475) and res= 5-(30,15,1042360) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,1042360) (# 6389) : der= 5-(30,14,651475) and res= 5-(30,15,1042360) - the given design is the residual.

# 6391: 5-(32,16,4157595)

• clan: 13-(32,16,309), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1693835) (# 6390)

# 6392: 5-(24,9,1242)

• clan: 11-(30,15,1242), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6393: 5-(25,10,4968)

• clan: 11-(30,15,1242), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1242) (# 6392) : der= 5-(24,9,1242) and res= 5-(24,10,3726) - the given design is the derived.

# 6394: 5-(24,9,1248)

• clan: 13-(32,16,312), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6395: 5-(25,9,1560)

• clan: 13-(32,16,312), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,1248) (# 6394) : der= 5-(24,8,312) and res= 5-(24,9,1248) - the given design is the residual.

# 6396: 5-(25,10,4992)

• clan: 13-(32,16,312), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,1248) (# 6394) : der= 5-(24,9,1248) and res= 5-(24,10,3744) - the given design is the derived.

# 6397: 5-(26,10,6552)

• clan: 13-(32,16,312), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1560) (# 6395) : der= 5-(25,9,1560) and res= 5-(25,10,4992) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,4992) (# 6396) : der= 5-(25,9,1560) and res= 5-(25,10,4992) - the given design is the residual.

# 6398: 5-(24,9,1254)

• clan: 13-(30,15,44), 2 times reduced t, 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 6399: 5-(25,10,5016)

• clan: 13-(30,15,44), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,1254) (# 6398) : der= 5-(24,9,1254) and res= 5-(24,10,3762) - the given design is the derived.

created: Fri Oct 23 11:10:17 CEST 2009