clan: 17-(36,18,2), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,18) (# 5223) : der= 5-(24,6,2) and res= 5-(24,7,18) - the given design is the residual.

# 5225: 5-(24,7,21)

clan: 6-(25,8,21), 1 times derived
\cite{Kreheretal90}

# 5226: 5-(24,7,24)

clan: 6-(25,8,24), 1 times derived
\cite{Kreheretal90}

# 5227: 5-(24,7,27)

clan: 17-(36,18,3), 11 times derived, 1 times residual
\cite{Kreheretal90}

# 5228: 5-(25,7,30)

clan: 17-(36,18,3), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,27) (# 5227) : der= 5-(24,6,3) and res= 5-(24,7,27) - the given design is the residual.

# 5229: 5-(24,7,3)

clan: 6-(25,8,3), 1 times derived
\cite{Driessen78} $M_{24}$

# 5230: 5-(24,7,30)

clan: 6-(25,8,30), 1 times derived
\cite{Kreheretal90}

# 5231: 5-(24,7,33)

clan: 6-(25,8,33), 1 times derived
\cite{Kreheretal90}

# 5232: 5-(24,7,36)

clan: 17-(36,18,4), 11 times derived, 1 times residual
\cite{Kreheretal90}
derived from 6-(25,8,36) (# 10396)

# 5233: 5-(25,7,40)

clan: 17-(36,18,4), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,36) (# 5232) : der= 5-(24,6,4) and res= 5-(24,7,36) - the given design is the residual.

# 5234: 5-(24,7,39)

clan: 6-(25,8,39), 1 times derived
\cite{Kreheretal90}

# 5235: 5-(24,7,42)

clan: 6-(25,8,42), 1 times derived
\cite{Kreheretal90}

# 5236: 5-(24,7,45)

clan: 17-(36,18,5), 11 times derived, 1 times residual
\cite{Kreheretal90}
derived from 6-(25,8,45) (# 10399)

# 5237: 5-(25,7,50)

clan: 17-(36,18,5), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,45) (# 5236) : der= 5-(24,6,5) and res= 5-(24,7,45) - the given design is the residual.

# 5238: 5-(24,7,48)

clan: 6-(25,8,48), 1 times derived
\cite{Kreheretal90}

# 5239: 5-(24,7,51)

clan: 6-(25,8,51), 1 times derived
\cite{Kreheretal90}

# 5240: 5-(24,7,54)

clan: 17-(36,18,6), 11 times derived, 1 times residual
\cite{Kreheretal90}
derived from 6-(25,8,54) (# 10402)
residual design of 6-(25,7,6) (# 13763)
residual design of supplementary of 6-(25,7,13) (# 13765)
derived from supplementary of 6-(25,8,117) (# 13766)

# 5241: 5-(25,7,60)

clan: 17-(36,18,6), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,54) (# 5240) : der= 5-(24,6,6) and res= 5-(24,7,54) - the given design is the residual.
derived from 6-(26,8,60) (# 10562)
design 6-(25,7,6) (# 13763) with respect to smaller t
derived from supplementary of 6-(26,8,130) (# 13764)
supplementary design of 6-(25,7,13) (# 13765) with respect to smaller t

# 5242: 5-(24,7,57)

clan: 7-(25,8,6), 1 times reduced t, 1 times derived
\cite{Kreheretal90} $PGL(2,23))$ LS[3](5,7,24)

# 5243: 5-(24,7,6)

clan: 6-(25,8,6), 1 times derived
\cite{Kreheretal90} $PGL(2,23))$

# 5244: 5-(24,7,60)

clan: 6-(25,8,60), 1 times derived
\cite{Kreheretal90}

# 5245: 5-(24,7,63)

clan: 17-(36,18,7), 11 times derived, 1 times residual
\cite{Driessen78}
derived from 6-(25,8,63) (# 10405)
derived from supplementary of 6-(25,8,108) (# 13778)

# 5246: 5-(25,7,70)

clan: 17-(36,18,7), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,63) (# 5245) : der= 5-(24,6,7) and res= 5-(24,7,63) - the given design is the residual.
derived from 6-(26,8,70) (# 10565)

# 5247: 5-(24,7,66)

clan: 6-(25,8,66), 1 times derived
\cite{Kreheretal90}

# 5248: 5-(24,7,69)

clan: 6-(25,8,69), 1 times derived
\cite{Kreheretal90}

# 5249: 5-(24,7,72)

clan: 17-(36,18,8), 11 times derived, 1 times residual
\cite{Kreheretal90}
derived from 6-(25,8,72) (# 10408)

# 5250: 5-(25,7,80)

clan: 17-(36,18,8), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,72) (# 5249) : der= 5-(24,6,8) and res= 5-(24,7,72) - the given design is the residual.

# 5251: 5-(24,7,75)

clan: 6-(25,8,75), 1 times derived
\cite{Kreheretal90}

# 5252: 5-(24,7,78)

clan: 6-(25,8,78), 1 times derived
\cite{Kreheretal90}

# 5253: 5-(24,7,81)

clan: 17-(36,18,9), 11 times derived, 1 times residual
\cite{Kreheretal90}
derived from 6-(25,8,81) (# 10411)
derived from supplementary of 6-(25,8,90) (# 13783)

# 5254: 5-(25,7,90)

clan: 17-(36,18,9), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,81) (# 5253) : der= 5-(24,6,9) and res= 5-(24,7,81) - the given design is the residual.

# 5255: 5-(24,7,84)

clan: 6-(25,8,84), 1 times derived
\cite{Kreheretal90}

# 5256: 5-(24,7,9)

clan: 17-(36,18,1), 11 times derived, 1 times residual
\cite{Kreheretal90} $PGL(2,23))$

# 5257: 5-(25,7,10)

clan: 17-(36,18,1), 1 times reduced t, 11 times derived
Tran van Trung construction (left) for 5-(24,7,9) (# 5256) : der= 5-(24,6,1) and res= 5-(24,7,9) - the given design is the residual.

# 5258: 5-(24,8,1)

clan: 5-(24,8,1)
\cite{Witt38} $M_{24}$ 1 isomorphism type

# 5259: 5-(24,8,10)

clan: 5-(24,8,10)
\cite{Araya03}

# 5260: 5-(24,8,11)

clan: 5-(24,8,11)
\cite{Araya03}

# 5261: 5-(24,8,12)

clan: 13-(32,16,12), 8 times derived
\cite{Araya03}

# 5262: 5-(24,8,13)

clan: 5-(24,8,13)
\cite{Araya03}

# 5263: 5-(24,8,14)

clan: 5-(24,8,14)
\cite{Araya03}

# 5264: 5-(24,8,15)

clan: 13-(32,16,15), 8 times derived
\cite{Araya03}

# 5265: 5-(24,8,100)

clan: 5-(24,8,100)
$PGL(2,23)$

# 5266: 5-(24,8,101)

clan: 5-(24,8,101)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5267: 5-(24,8,102)

clan: 17-(36,18,2), 10 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5268: 5-(25,8,120)

clan: 17-(36,18,2), 1 times reduced t, 10 times derived, 1 times residual
Tran van Trung construction (left) for 5-(24,8,102) (# 5267) : der= 5-(24,7,18) and res= 5-(24,8,102) - the given design is the residual.

# 5269: 5-(26,8,140)

clan: 17-(36,18,2), 2 times reduced t, 10 times derived
Tran van Trung construction (left) for 5-(25,8,120) (# 5268) : der= 5-(25,7,20) and res= 5-(25,8,120) - the given design is the residual.

# 5270: 5-(24,8,103)

clan: 5-(24,8,103)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5271: 5-(24,8,104)

clan: 5-(24,8,104)
$PGL(2,23)$

# 5272: 5-(24,8,105)

clan: 13-(32,16,105), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
derived from 6-(25,9,105) (# 10414)

# 5273: 5-(24,8,106)

clan: 5-(24,8,106)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5274: 5-(24,8,107)

clan: 5-(24,8,107)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5275: 5-(24,8,108)

clan: 13-(32,16,108), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5276: 5-(24,8,109)

clan: 5-(24,8,109)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5277: 5-(24,8,110)

clan: 5-(24,8,110)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5278: 5-(24,8,111)

clan: 13-(32,16,111), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5279: 5-(24,8,112)

clan: 5-(24,8,112)
$PGL(2,23)$

# 5280: 5-(24,8,113)

clan: 5-(24,8,113)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5281: 5-(24,8,114)

clan: 15-(32,16,2), 2 times reduced t, 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5282: 5-(25,9,570)

clan: 15-(32,16,2), 3 times reduced t, 7 times derived
Tran van Trung construction (right) for 5-(24,8,114) (# 5281) : der= 5-(24,8,114) and res= 5-(24,9,456) - the given design is the derived.
derived from 6-(26,10,570) (# 10533)

# 5283: 5-(26,10,2394)

clan: 15-(32,16,2), 4 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,570) (# 5282) : der= 5-(25,9,570) and res= 5-(25,10,1824) - the given design is the derived.
design 6-(26,10,570) (# 10533) with respect to smaller t

# 5284: 5-(27,11,8778)

clan: 15-(32,16,2), 5 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(26,10,2394) (# 5283) : der= 5-(26,10,2394) and res= 5-(26,11,6384) - the given design is the derived.

# 5285: 5-(28,12,28842)

clan: 15-(32,16,2), 6 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,8778) (# 5284) : der= 5-(27,11,8778) and res= 5-(27,12,20064) - the given design is the derived.

# 5286: 5-(29,13,86526)

clan: 15-(32,16,2), 7 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,28842) (# 5285) : der= 5-(28,12,28842) and res= 5-(28,13,57684) - the given design is the derived.

# 5287: 5-(30,14,240350)

clan: 15-(32,16,2), 8 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,86526) (# 5286) : der= 5-(29,13,86526) and res= 5-(29,14,153824) - the given design is the derived.

# 5288: 5-(31,15,624910)

clan: 15-(32,16,2), 9 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,240350) (# 5287) : der= 5-(30,14,240350) and res= 5-(30,15,384560) - the given design is the derived.

# 5289: 5-(32,16,1533870)

clan: 15-(32,16,2), 10 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,624910) (# 5288)

# 5290: 5-(24,8,115)

clan: 5-(24,8,115)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5291: 5-(24,8,116)

clan: 5-(24,8,116)
$PGL(2,23)$

# 5292: 5-(24,8,117)

clan: 13-(32,16,117), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5293: 5-(24,8,118)

clan: 5-(24,8,118)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5294: 5-(24,8,119)

clan: 6-(25,8,21), 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5295: 5-(25,8,140)

clan: 6-(25,8,21), 1 times reduced t
Tran van Trung construction (left) for 5-(24,8,119) (# 5294) : der= 5-(24,7,21) and res= 5-(24,8,119) - the given design is the residual.

# 5296: 5-(24,8,120)

clan: 13-(32,16,120), 8 times derived
$PGL(2,23)$

# 5297: 5-(24,8,121)

clan: 5-(24,8,121)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5298: 5-(24,8,122)

clan: 5-(24,8,122)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5299: 5-(24,8,123)

clan: 13-(32,16,123), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:08 CEST 2009