t designs with small t, id ge 13500

• clan: 15-(32,16,6), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 7-(30,14,86526) (# 13499) : der= 7-(30,14,86526) and res= 7-(30,15,173052) - the given design is the derived.

# 13501: 7-(24,9,64)

• clan: 15-(32,16,8), 7 times derived, 1 times residual
• PGL(2,23) (>= 15335 isom. types) \cite{Bettenetal98b}

# 13502: 7-(25,9,72)

• clan: 15-(32,16,8), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 7-(24,9,64) (# 13501) : der= 7-(24,8,8) and res= 7-(24,9,64) - the given design is the residual.
• (Tran van Trung construction): 7-(24,8,8) together with 7-(24,9,64) \cite{Bettenetal98b} (>= 7951408124200930620 isomorphism types )

# 13503: 7-(25,10,384)

• clan: 15-(32,16,8), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 7-(24,9,64) (# 13501) : der= 7-(24,9,64) and res= 7-(24,10,320) - the given design is the derived.
• (Tran van Trung construction): 7-(24,9,64) together with 7-(24,10,320) \cite{Bettenetal97b}(>=5161263324118902274 isomorphism types )

# 13504: 7-(26,10,456)

• clan: 15-(32,16,8), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 7-(25,9,72) (# 13502) : der= 7-(25,9,72) and res= 7-(25,10,384) - the given design is the derived.
• Tran van Trung construction (left) for 7-(25,10,384) (# 13503) : der= 7-(25,9,72) and res= 7-(25,10,384) - the given design is the residual.
• (Tran van Trung construction): 7-(25,9,72) together with 7-(25,10,384) \cite{Bettenetal97b}(>= $ 10^{62}$ isomorphism types)

# 13505: 7-(25,11,990)

• clan: 13-(30,15,44), 1 times reduced t, 4 times derived, 1 times residual
• $PGL(2,23)+$ >1 isomorphism types

# 13506: 6-(25,11,3762)

• clan: 13-(30,15,44), 2 times reduced t, 4 times derived, 1 times residual
• design 7-(25,11,990) (# 13505) with respect to smaller t
• Tran van Trung construction (right) for 6-(24,10,990) (# 13507) : der= 6-(24,10,990) and res= 6-(24,11,2772) - the given design is the derived.

# 13507: 6-(24,10,990)

• clan: 13-(30,15,44), 1 times reduced t, 5 times derived, 1 times residual
• derived from 7-(25,11,990) (# 13505)

# 13508: 6-(25,11,7866)

• clan: 13-(30,15,92), 2 times reduced t, 4 times derived, 1 times residual
• supplementary design of 7-(25,11,990) (# 13505) with respect to smaller t
• Tran van Trung construction (right) for 6-(24,10,2070) (# 13509) : der= 6-(24,10,2070) and res= 6-(24,11,5796) - the given design is the derived.
• Tran van Trung construction (left) for 6-(24,11,5796) (# 13510) : der= 6-(24,10,2070) and res= 6-(24,11,5796) - the given design is the residual.

# 13509: 6-(24,10,2070)

• clan: 13-(30,15,92), 1 times reduced t, 5 times derived, 1 times residual
• derived from supplementary of 7-(25,11,990) (# 13505)

# 13510: 6-(24,11,5796)

• clan: 13-(30,15,92), 1 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 7-(25,11,990) (# 13505)

# 13511: 5-(25,11,26220)

• clan: 13-(30,15,92), 3 times reduced t, 4 times derived, 1 times residual
• supplementary design of 6-(25,11,3762) (# 13506) with respect to smaller t
• design 6-(25,11,7866) (# 13508) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,10,7866) (# 13512) : der= 5-(24,10,7866) and res= 5-(24,11,18354) - the given design is the derived.
• derived from supplementary of 6-(26,12,12540) (# 13513)
• derived from 6-(26,12,26220) (# 13515)

# 13512: 5-(24,10,7866)

• clan: 13-(30,15,92), 2 times reduced t, 5 times derived, 1 times residual
• derived from supplementary of 6-(25,11,3762) (# 13506)
• supplementary design of 6-(24,10,990) (# 13507) with respect to smaller t
• derived from 6-(25,11,7866) (# 13508)
• design 6-(24,10,2070) (# 13509) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,9,2070) (# 13514) : der= 5-(23,9,2070) and res= 5-(23,10,5796) - the given design is the derived.

# 13513: 6-(26,12,12540)

• clan: 13-(30,15,44), 3 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 6-(25,11,3762) (# 13506) : der= 6-(25,11,3762) and res= 6-(25,12,8778) - the given design is the derived.

# 13514: 5-(23,9,2070)

• clan: 13-(30,15,92), 1 times reduced t, 6 times derived, 1 times residual
• derived from supplementary of 6-(24,10,990) (# 13507)
• derived from 6-(24,10,2070) (# 13509)

# 13515: 6-(26,12,26220)

• clan: 13-(30,15,92), 3 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 6-(25,11,7866) (# 13508) : der= 6-(25,11,7866) and res= 6-(25,12,18354) - the given design is the derived.

# 13516: 5-(26,12,78660)

• clan: 13-(30,15,92), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,11,26220) (# 13511) : der= 5-(25,11,26220) and res= 5-(25,12,52440) - the given design is the derived.
• supplementary design of 6-(26,12,12540) (# 13513) with respect to smaller t
• design 6-(26,12,26220) (# 13515) with respect to smaller t
• derived from supplementary of 6-(27,13,37620) (# 13517)
• derived from 6-(27,13,78660) (# 13518)

# 13517: 6-(27,13,37620)

• clan: 13-(30,15,44), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 6-(26,12,12540) (# 13513) : der= 6-(26,12,12540) and res= 6-(26,13,25080) - the given design is the derived.
• derived from 7-(28,14,37620) (# 13521)
• derived from supplementary of 7-(28,14,78660) (# 13523)

# 13518: 6-(27,13,78660)

• clan: 13-(30,15,92), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 6-(26,12,26220) (# 13515) : der= 6-(26,12,26220) and res= 6-(26,13,52440) - the given design is the derived.
• derived from supplementary of 7-(28,14,37620) (# 13521)
• derived from 7-(28,14,78660) (# 13523)

# 13519: 5-(27,13,216315)

• clan: 13-(30,15,92), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,12,78660) (# 13516) : der= 5-(26,12,78660) and res= 5-(26,13,137655) - the given design is the derived.
• supplementary design of 6-(27,13,37620) (# 13517) with respect to smaller t
• design 6-(27,13,78660) (# 13518) with respect to smaller t
• derived from supplementary of 6-(28,14,103455) (# 13520)
• derived from 6-(28,14,216315) (# 13522)

# 13520: 6-(28,14,103455)

• clan: 13-(30,15,44), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(27,13,37620) (# 13517)
• design 7-(28,14,37620) (# 13521) with respect to smaller t
• supplementary design of 7-(28,14,78660) (# 13523) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,65835) (# 13527) : der= 6-(27,13,37620) and res= 6-(27,14,65835) - the given design is the residual.

# 13521: 7-(28,14,37620)

• clan: 13-(30,15,44), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(27,13,37620) (# 13517)

# 13522: 6-(28,14,216315)

• clan: 13-(30,15,92), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(27,13,78660) (# 13518)
• supplementary design of 7-(28,14,37620) (# 13521) with respect to smaller t
• design 7-(28,14,78660) (# 13523) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,137655) (# 13528) : der= 6-(27,13,78660) and res= 6-(27,14,137655) - the given design is the residual.

# 13523: 7-(28,14,78660)

• clan: 13-(30,15,92), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(27,13,78660) (# 13518)

# 13524: 5-(28,14,552805)

• clan: 13-(30,15,92), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,216315) (# 13519)
• supplementary design of 6-(28,14,103455) (# 13520) with respect to smaller t
• design 6-(28,14,216315) (# 13522) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,336490) (# 13526) : der= 5-(27,13,216315) and res= 5-(27,14,336490) - the given design is the residual.

# 13525: 5-(27,14,160930)

• clan: 13-(30,15,44), 5 times reduced t, 1 times derived, 2 times residual
• residual design of 6-(28,14,103455) (# 13520)
• residual design of supplementary of 6-(28,14,216315) (# 13522)
• design 6-(27,14,65835) (# 13527) with respect to smaller t
• supplementary design of 6-(27,14,137655) (# 13528) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,95095) (# 13529) : der= 5-(26,13,65835) and res= 5-(26,14,95095) - the given design is the residual.

# 13526: 5-(27,14,336490)

• clan: 13-(30,15,92), 5 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(28,14,103455) (# 13520)
• residual design of 6-(28,14,216315) (# 13522)
• supplementary design of 6-(27,14,65835) (# 13527) with respect to smaller t
• design 6-(27,14,137655) (# 13528) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,198835) (# 13530) : der= 5-(26,13,137655) and res= 5-(26,14,198835) - the given design is the residual.

# 13527: 6-(27,14,65835)

• clan: 13-(30,15,44), 4 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(28,14,37620) (# 13521)
• residual design of supplementary of 7-(28,14,78660) (# 13523)

# 13528: 6-(27,14,137655)

• clan: 13-(30,15,92), 4 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(28,14,37620) (# 13521)
• residual design of 7-(28,14,78660) (# 13523)

# 13529: 5-(26,14,95095)

• clan: 13-(30,15,44), 4 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(27,14,65835) (# 13527)
• residual design of supplementary of 6-(27,14,137655) (# 13528)

# 13530: 5-(26,14,198835)

• clan: 13-(30,15,92), 4 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(27,14,65835) (# 13527)
• residual design of 6-(27,14,137655) (# 13528)

# 13531: 7-(26,11,1080)

• clan: 13-(32,16,270), 5 times derived, 1 times residual
• $PGL(2,25)$( >= 3 isom. types)

# 13532: 6-(26,11,4320)

• clan: 13-(32,16,270), 1 times reduced t, 5 times derived, 1 times residual
• design 7-(26,11,1080) (# 13531) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1080) (# 13533) : der= 6-(25,10,1080) and res= 6-(25,11,3240) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,3240) (# 13534) : der= 6-(25,10,1080) and res= 6-(25,11,3240) - the given design is the residual.
• residual design of 7-(27,11,1350) (# 13912)
• derived from 7-(27,12,4320) (# 17775)

# 13533: 6-(25,10,1080)

• clan: 13-(32,16,270), 6 times derived, 1 times residual
• derived from 7-(26,11,1080) (# 13531)

# 13534: 6-(25,11,3240)

• clan: 13-(32,16,270), 5 times derived, 2 times residual
• residual design of 7-(26,11,1080) (# 13531)
• derived from 7-(26,12,3240) (# 17762)
• derived from supplementary of 7-(26,12,8388) (# 17767)

# 13535: 6-(26,11,11184)

• clan: 13-(32,16,699), 1 times reduced t, 5 times derived, 1 times residual
• supplementary design of 7-(26,11,1080) (# 13531) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,2796) (# 13536) : der= 6-(25,10,2796) and res= 6-(25,11,8388) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,8388) (# 13537) : der= 6-(25,10,2796) and res= 6-(25,11,8388) - the given design is the residual.
• residual design of supplementary of 7-(27,11,1350) (# 13912)
• derived from supplementary of 7-(27,12,4320) (# 17775)

# 13536: 6-(25,10,2796)

• clan: 13-(32,16,699), 6 times derived, 1 times residual
• derived from supplementary of 7-(26,11,1080) (# 13531)

# 13537: 6-(25,11,8388)

• clan: 13-(32,16,699), 5 times derived, 2 times residual
• residual design of supplementary of 7-(26,11,1080) (# 13531)
• derived from supplementary of 7-(26,12,3240) (# 17762)
• derived from 7-(26,12,8388) (# 17767)

# 13538: 5-(25,11,10800)

• clan: 13-(32,16,270), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,4320) (# 13532)
• design 6-(25,11,3240) (# 13534) with respect to smaller t
• residual design of supplementary of 6-(26,11,11184) (# 13535)
• supplementary design of 6-(25,11,8388) (# 13537) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,11,7560) (# 13542) : der= 5-(24,10,3240) and res= 5-(24,11,7560) - the given design is the residual.
• derived from 6-(26,12,10800) (# 17769)
• derived from supplementary of 6-(26,12,27960) (# 17771)

# 13539: 5-(25,11,27960)

• clan: 13-(32,16,699), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,4320) (# 13532)
• supplementary design of 6-(25,11,3240) (# 13534) with respect to smaller t
• residual design of 6-(26,11,11184) (# 13535)
• design 6-(25,11,8388) (# 13537) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,10,8388) (# 13541) : der= 5-(24,10,8388) and res= 5-(24,11,19572) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,11,19572) (# 13543) : der= 5-(24,10,8388) and res= 5-(24,11,19572) - the given design is the residual.
• derived from supplementary of 6-(26,12,10800) (# 17769)
• derived from 6-(26,12,27960) (# 17771)

# 13540: 5-(24,9,2796)

• clan: 13-(32,16,699), 7 times derived, 1 times residual
• derived from supplementary of 6-(25,10,1080) (# 13533)
• derived from 6-(25,10,2796) (# 13536)

# 13541: 5-(24,10,8388)

• clan: 13-(32,16,699), 6 times derived, 2 times residual
• residual design of supplementary of 6-(25,10,1080) (# 13533)
• derived from supplementary of 6-(25,11,3240) (# 13534)
• residual design of 6-(25,10,2796) (# 13536)
• derived from 6-(25,11,8388) (# 13537)

# 13542: 5-(24,11,7560)

• clan: 13-(32,16,270), 5 times derived, 3 times residual
• residual design of 6-(25,11,3240) (# 13534)
• residual design of supplementary of 6-(25,11,8388) (# 13537)
• derived from 6-(25,12,7560) (# 17773)
• derived from supplementary of 6-(25,12,19572) (# 17774)

# 13543: 5-(24,11,19572)

• clan: 13-(32,16,699), 5 times derived, 3 times residual
• residual design of supplementary of 6-(25,11,3240) (# 13534)
• residual design of 6-(25,11,8388) (# 13537)
• derived from supplementary of 6-(25,12,7560) (# 17773)
• derived from 6-(25,12,19572) (# 17774)

# 13544: 5-(25,12,21600)

• clan: 13-(32,16,270), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(24,11,7560) (# 13542) : der= 5-(24,11,7560) and res= 5-(24,12,14040) - the given design is the derived.
• residual design of 6-(26,12,10800) (# 17769)
• derived from 6-(26,13,21600) (# 17770)
• residual design of supplementary of 6-(26,12,27960) (# 17771)
• derived from supplementary of 6-(26,13,55920) (# 17772)
• design 6-(25,12,7560) (# 17773) with respect to smaller t
• supplementary design of 6-(25,12,19572) (# 17774) with respect to smaller t

# 13545: 7-(26,11,1176)

• clan: 13-(32,16,294), 5 times derived, 1 times residual
• $P\Gamma L(2,25)$(>=1 isom. type)

# 13546: 6-(26,11,4704)

• clan: 13-(32,16,294), 1 times reduced t, 5 times derived, 1 times residual
• design 7-(26,11,1176) (# 13545) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1176) (# 13547) : der= 6-(25,10,1176) and res= 6-(25,11,3528) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,3528) (# 13548) : der= 6-(25,10,1176) and res= 6-(25,11,3528) - the given design is the residual.
• residual design of 7-(27,11,1470) (# 13950)

# 13547: 6-(25,10,1176)

• clan: 13-(32,16,294), 6 times derived, 1 times residual
• derived from 7-(26,11,1176) (# 13545)

# 13548: 6-(25,11,3528)

• clan: 13-(32,16,294), 5 times derived, 2 times residual
• residual design of 7-(26,11,1176) (# 13545)

# 13549: 6-(26,11,10800)

• clan: 13-(32,16,675), 1 times reduced t, 5 times derived, 1 times residual
• supplementary design of 7-(26,11,1176) (# 13545) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,2700) (# 13550) : der= 6-(25,10,2700) and res= 6-(25,11,8100) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,8100) (# 13551) : der= 6-(25,10,2700) and res= 6-(25,11,8100) - the given design is the residual.
• residual design of supplementary of 7-(27,11,1470) (# 13950)

# 13550: 6-(25,10,2700)

• clan: 13-(32,16,675), 6 times derived, 1 times residual
• derived from supplementary of 7-(26,11,1176) (# 13545)

# 13551: 6-(25,11,8100)

• clan: 13-(32,16,675), 5 times derived, 2 times residual
• residual design of supplementary of 7-(26,11,1176) (# 13545)

# 13552: 5-(25,11,11760)

• clan: 13-(32,16,294), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,4704) (# 13546)
• design 6-(25,11,3528) (# 13548) with respect to smaller t
• residual design of supplementary of 6-(26,11,10800) (# 13549)
• supplementary design of 6-(25,11,8100) (# 13551) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,11,8232) (# 13556) : der= 5-(24,10,3528) and res= 5-(24,11,8232) - the given design is the residual.

# 13553: 5-(25,11,27000)

• clan: 13-(32,16,675), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,4704) (# 13546)
• supplementary design of 6-(25,11,3528) (# 13548) with respect to smaller t
• residual design of 6-(26,11,10800) (# 13549)
• design 6-(25,11,8100) (# 13551) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,10,8100) (# 13555) : der= 5-(24,10,8100) and res= 5-(24,11,18900) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,11,18900) (# 13557) : der= 5-(24,10,8100) and res= 5-(24,11,18900) - the given design is the residual.

# 13554: 5-(24,9,2700)

• clan: 13-(32,16,675), 7 times derived, 1 times residual
• derived from supplementary of 6-(25,10,1176) (# 13547)
• derived from 6-(25,10,2700) (# 13550)

# 13555: 5-(24,10,8100)

• clan: 13-(32,16,675), 6 times derived, 2 times residual
• residual design of supplementary of 6-(25,10,1176) (# 13547)
• derived from supplementary of 6-(25,11,3528) (# 13548)
• residual design of 6-(25,10,2700) (# 13550)
• derived from 6-(25,11,8100) (# 13551)

# 13556: 5-(24,11,8232)

• clan: 13-(32,16,294), 5 times derived, 3 times residual
• residual design of 6-(25,11,3528) (# 13548)
• residual design of supplementary of 6-(25,11,8100) (# 13551)

# 13557: 5-(24,11,18900)

• clan: 13-(32,16,675), 5 times derived, 3 times residual
• residual design of supplementary of 6-(25,11,3528) (# 13548)
• residual design of 6-(25,11,8100) (# 13551)

# 13558: 5-(25,12,23520)

• clan: 13-(32,16,294), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(24,11,8232) (# 13556) : der= 5-(24,11,8232) and res= 5-(24,12,15288) - the given design is the derived.

# 13559: 5-(26,13,61740)

• clan: 13-(32,16,294), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,23520) (# 13558)
• residual design of 6-(27,13,35280) (# 15575)
• derived from 6-(27,14,61740) (# 15576)
• residual design of supplementary of 6-(27,13,81000) (# 15578)
• derived from supplementary of 6-(27,14,141750) (# 15579)

# 13560: 5-(26,12,35280)

• clan: 13-(32,16,294), 2 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(25,12,23520) (# 13558) : der= 5-(25,11,11760) and res= 5-(25,12,23520) - the given design is the residual.
• derived from 6-(27,13,35280) (# 15575)
• derived from supplementary of 6-(27,13,81000) (# 15578)

# 13561: 5-(27,13,97020)

• clan: 13-(32,16,294), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(26,13,61740) (# 13559) : der= 5-(26,12,35280) and res= 5-(26,13,61740) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,35280) (# 13560) : der= 5-(26,12,35280) and res= 5-(26,13,61740) - the given design is the derived.
• derived from 6-(28,14,97020) (# 15574)
• design 6-(27,13,35280) (# 15575) with respect to smaller t
• derived from supplementary of 6-(28,14,222750) (# 15577)
• supplementary design of 6-(27,13,81000) (# 15578) with respect to smaller t

# 13562: 5-(27,12,51744)

• clan: 13-(32,16,294), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,12,35280) (# 13560) : der= 5-(26,11,16464) and res= 5-(26,12,35280) - the given design is the residual.

# 13563: 5-(28,14,247940)

• clan: 13-(32,16,294), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,97020) (# 13561)
• design 6-(28,14,97020) (# 15574) with respect to smaller t
• supplementary design of 6-(28,14,222750) (# 15577) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,150920) (# 15580) : der= 5-(27,13,97020) and res= 5-(27,14,150920) - the given design is the residual.

# 13564: 5-(28,13,148764)

• clan: 13-(32,16,294), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(27,13,97020) (# 13561) : der= 5-(27,12,51744) and res= 5-(27,13,97020) - the given design is the residual.
• Tran van Trung construction (right) for 5-(27,12,51744) (# 13562) : der= 5-(27,12,51744) and res= 5-(27,13,97020) - the given design is the derived.

# 13565: 5-(28,12,74382)

• clan: 13-(32,16,294), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,51744) (# 13562) : der= 5-(27,11,22638) and res= 5-(27,12,51744) - the given design is the residual.

# 13566: 5-(29,14,396704)

• clan: 13-(32,16,294), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,247940) (# 13563) : der= 5-(28,13,148764) and res= 5-(28,14,247940) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,148764) (# 13564) : der= 5-(28,13,148764) and res= 5-(28,14,247940) - the given design is the derived.

# 13567: 5-(29,13,223146)

• clan: 13-(32,16,294), 5 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(28,13,148764) (# 13564) : der= 5-(28,12,74382) and res= 5-(28,13,148764) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,12,74382) (# 13565) : der= 5-(28,12,74382) and res= 5-(28,13,148764) - the given design is the derived.

# 13568: 5-(30,15,991760)

• clan: 13-(32,16,294), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,396704) (# 13566)

# 13569: 5-(30,14,619850)

• clan: 13-(32,16,294), 6 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(29,14,396704) (# 13566) : der= 5-(29,13,223146) and res= 5-(29,14,396704) - the given design is the residual.
• Tran van Trung construction (right) for 5-(29,13,223146) (# 13567) : der= 5-(29,13,223146) and res= 5-(29,14,396704) - the given design is the derived.

# 13570: 5-(31,15,1611610)

• clan: 13-(32,16,294), 7 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(30,15,991760) (# 13568) : der= 5-(30,14,619850) and res= 5-(30,15,991760) - the given design is the residual.
• Tran van Trung construction (right) for 5-(30,14,619850) (# 13569) : der= 5-(30,14,619850) and res= 5-(30,15,991760) - the given design is the derived.

# 13571: 5-(32,16,3955770)

• clan: 13-(32,16,294), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1611610) (# 13570)

# 13572: 7-(26,11,1356)

• clan: 13-(32,16,339), 5 times derived, 1 times residual
• $P\Gamma L(2,25)$(>=1 isom. type)

# 13573: 6-(26,11,5424)

• clan: 13-(32,16,339), 1 times reduced t, 5 times derived, 1 times residual
• design 7-(26,11,1356) (# 13572) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1356) (# 13574) : der= 6-(25,10,1356) and res= 6-(25,11,4068) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,4068) (# 13575) : der= 6-(25,10,1356) and res= 6-(25,11,4068) - the given design is the residual.

# 13574: 6-(25,10,1356)

• clan: 13-(32,16,339), 6 times derived, 1 times residual
• derived from 7-(26,11,1356) (# 13572)

# 13575: 6-(25,11,4068)

• clan: 13-(32,16,339), 5 times derived, 2 times residual
• residual design of 7-(26,11,1356) (# 13572)

# 13576: 6-(26,11,10080)

• clan: 13-(32,16,630), 1 times reduced t, 5 times derived, 1 times residual
• supplementary design of 7-(26,11,1356) (# 13572) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,2520) (# 13577) : der= 6-(25,10,2520) and res= 6-(25,11,7560) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,11,7560) (# 13578) : der= 6-(25,10,2520) and res= 6-(25,11,7560) - the given design is the residual.

# 13577: 6-(25,10,2520)

• clan: 13-(32,16,630), 6 times derived, 1 times residual
• derived from supplementary of 7-(26,11,1356) (# 13572)

# 13578: 6-(25,11,7560)

• clan: 13-(32,16,630), 5 times derived, 2 times residual
• residual design of supplementary of 7-(26,11,1356) (# 13572)

# 13579: 5-(26,11,18984)

• clan: 13-(32,16,339), 2 times reduced t, 5 times derived, 1 times residual
• design 6-(26,11,5424) (# 13573) with respect to smaller t
• supplementary design of 6-(26,11,10080) (# 13576) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,13560) (# 13580) : der= 5-(25,10,5424) and res= 5-(25,11,13560) - the given design is the residual.
• residual design of 6-(27,11,7119) (# 13583)
• derived from 6-(27,12,18984) (# 15296)
• derived from supplementary of 6-(27,12,35280) (# 15299)

# 13580: 5-(25,11,13560)

• clan: 13-(32,16,339), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,5424) (# 13573)
• design 6-(25,11,4068) (# 13575) with respect to smaller t
• residual design of supplementary of 6-(26,11,10080) (# 13576)
• supplementary design of 6-(25,11,7560) (# 13578) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,11,9492) (# 13586) : der= 5-(24,10,4068) and res= 5-(24,11,9492) - the given design is the residual.

# 13581: 5-(26,11,35280)

• clan: 13-(32,16,630), 2 times reduced t, 5 times derived, 1 times residual
• supplementary design of 6-(26,11,5424) (# 13573) with respect to smaller t
• design 6-(26,11,10080) (# 13576) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,25200) (# 13582) : der= 5-(25,10,10080) and res= 5-(25,11,25200) - the given design is the residual.
• residual design of supplementary of 6-(27,11,7119) (# 13583)
• derived from supplementary of 6-(27,12,18984) (# 15296)
• derived from 6-(27,12,35280) (# 15299)

# 13582: 5-(25,11,25200)

• clan: 13-(32,16,630), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,5424) (# 13573)
• supplementary design of 6-(25,11,4068) (# 13575) with respect to smaller t
• residual design of 6-(26,11,10080) (# 13576)
• design 6-(25,11,7560) (# 13578) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,10,7560) (# 13585) : der= 5-(24,10,7560) and res= 5-(24,11,17640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,11,17640) (# 13587) : der= 5-(24,10,7560) and res= 5-(24,11,17640) - the given design is the residual.

# 13583: 6-(27,11,7119)

• clan: 13-(32,16,339), 2 times reduced t, 5 times derived
• Tran van Trung construction (left) for 6-(26,11,5424) (# 13573) : der= 6-(26,10,1695) and res= 6-(26,11,5424) - the given design is the residual.

# 13584: 5-(24,9,2520)

• clan: 13-(32,16,630), 7 times derived, 1 times residual
• derived from supplementary of 6-(25,10,1356) (# 13574)
• derived from 6-(25,10,2520) (# 13577)

# 13585: 5-(24,10,7560)

• clan: 13-(32,16,630), 6 times derived, 2 times residual
• residual design of supplementary of 6-(25,10,1356) (# 13574)
• derived from supplementary of 6-(25,11,4068) (# 13575)
• residual design of 6-(25,10,2520) (# 13577)
• derived from 6-(25,11,7560) (# 13578)

# 13586: 5-(24,11,9492)

• clan: 13-(32,16,339), 5 times derived, 3 times residual
• residual design of 6-(25,11,4068) (# 13575)
• residual design of supplementary of 6-(25,11,7560) (# 13578)

# 13587: 5-(24,11,17640)

• clan: 13-(32,16,630), 5 times derived, 3 times residual
• residual design of supplementary of 6-(25,11,4068) (# 13575)
• residual design of 6-(25,11,7560) (# 13578)

# 13588: 5-(27,11,26103)

• clan: 13-(32,16,339), 3 times reduced t, 5 times derived
• Tran van Trung construction (left) for 5-(26,11,18984) (# 13579) : der= 5-(26,10,7119) and res= 5-(26,11,18984) - the given design is the residual.
• design 6-(27,11,7119) (# 13583) with respect to smaller t
• derived from 6-(28,12,26103) (# 15302)

# 13589: 5-(27,11,48510)

• clan: 13-(32,16,630), 3 times reduced t, 5 times derived
• Tran van Trung construction (left) for 5-(26,11,35280) (# 13581) : der= 5-(26,10,13230) and res= 5-(26,11,35280) - the given design is the residual.
• supplementary design of 6-(27,11,7119) (# 13583) with respect to smaller t
• derived from supplementary of 6-(28,12,26103) (# 15302)

# 13590: 5-(25,12,27120)

• clan: 13-(32,16,339), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(24,11,9492) (# 13586) : der= 5-(24,11,9492) and res= 5-(24,12,17628) - the given design is the derived.

# 13591: 5-(28,12,85767)

• clan: 13-(32,16,339), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,26103) (# 13588) : der= 5-(27,11,26103) and res= 5-(27,12,59664) - the given design is the derived.
• design 6-(28,12,26103) (# 15302) with respect to smaller t
• derived from 6-(29,13,85767) (# 15308)

# 13592: 5-(28,12,159390)

• clan: 13-(32,16,630), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,48510) (# 13589) : der= 5-(27,11,48510) and res= 5-(27,12,110880) - the given design is the derived.
• supplementary design of 6-(28,12,26103) (# 15302) with respect to smaller t
• derived from supplementary of 6-(29,13,85767) (# 15308)

# 13593: 5-(26,13,71190)

• clan: 13-(32,16,339), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,27120) (# 13590)
• residual design of 6-(27,13,40680) (# 15297)
• residual design of supplementary of 6-(27,13,75600) (# 15300)
• derived from 6-(27,14,71190) (# 15312)
• derived from supplementary of 6-(27,14,132300) (# 15313)

# 13594: 5-(26,12,40680)

• clan: 13-(32,16,339), 2 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(25,12,27120) (# 13590) : der= 5-(25,11,13560) and res= 5-(25,12,27120) - the given design is the residual.
• residual design of 6-(27,12,18984) (# 15296)
• derived from 6-(27,13,40680) (# 15297)
• residual design of supplementary of 6-(27,12,35280) (# 15299)
• derived from supplementary of 6-(27,13,75600) (# 15300)

# 13595: 5-(29,13,257301)

• clan: 13-(32,16,339), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,85767) (# 13591) : der= 5-(28,12,85767) and res= 5-(28,13,171534) - the given design is the derived.
• design 6-(29,13,85767) (# 15308) with respect to smaller t
• derived from 6-(30,14,257301) (# 15316)

# 13596: 5-(29,13,478170)

• clan: 13-(32,16,630), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,159390) (# 13592) : der= 5-(28,12,159390) and res= 5-(28,13,318780) - the given design is the derived.
• supplementary design of 6-(29,13,85767) (# 15308) with respect to smaller t
• derived from supplementary of 6-(30,14,257301) (# 15316)

# 13597: 5-(30,14,714725)

• clan: 13-(32,16,339), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,257301) (# 13595) : der= 5-(29,13,257301) and res= 5-(29,14,457424) - the given design is the derived.
• design 6-(30,14,257301) (# 15316) with respect to smaller t
• derived from 6-(31,15,714725) (# 15323)
• derived from supplementary of 6-(31,15,1328250) (# 15336)

# 13598: 5-(30,14,1328250)

• clan: 13-(32,16,630), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,478170) (# 13596) : der= 5-(29,13,478170) and res= 5-(29,14,850080) - the given design is the derived.
• supplementary design of 6-(30,14,257301) (# 15316) with respect to smaller t
• derived from supplementary of 6-(31,15,714725) (# 15323)
• derived from 6-(31,15,1328250) (# 15336)

# 13599: 5-(31,15,1858285)

• clan: 13-(32,16,339), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,714725) (# 13597) : der= 5-(30,14,714725) and res= 5-(30,15,1143560) - the given design is the derived.
• design 6-(31,15,714725) (# 15323) with respect to smaller t
• derived from 6-(32,16,1858285) (# 15328)
• derived from supplementary of 6-(32,16,3453450) (# 15335)
• supplementary design of 6-(31,15,1328250) (# 15336) with respect to smaller t

created: Fri Oct 23 11:13:33 CEST 2009