t designs with small t, id ge 7400

---

# 7400: 5-(25,10,3072)

• clan: 13-(32,16,192), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,768) (# 7398) : der= 5-(24,9,768) and res= 5-(24,10,2304) - the given design is the derived.

---

# 7401: 5-(26,10,4032)

• clan: 13-(32,16,192), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,960) (# 7399) : der= 5-(25,9,960) and res= 5-(25,10,3072) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3072) (# 7400) : der= 5-(25,9,960) and res= 5-(25,10,3072) - the given design is the residual.

---

# 7402: 5-(24,9,774)

• clan: 11-(30,15,774), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7403: 5-(25,10,3096)

• clan: 11-(30,15,774), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,774) (# 7402) : der= 5-(24,9,774) and res= 5-(24,10,2322) - the given design is the derived.

---

# 7404: 5-(26,11,10836)

• clan: 11-(30,15,774), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,3096) (# 7403) : der= 5-(25,10,3096) and res= 5-(25,11,7740) - the given design is the derived.

---

# 7405: 5-(27,12,34056)

• clan: 11-(30,15,774), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,10836) (# 7404) : der= 5-(26,11,10836) and res= 5-(26,12,23220) - the given design is the derived.

---

# 7406: 5-(28,13,97911)

• clan: 11-(30,15,774), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,34056) (# 7405) : der= 5-(27,12,34056) and res= 5-(27,13,63855) - the given design is the derived.

---

# 7407: 5-(29,14,261096)

• clan: 11-(30,15,774), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,97911) (# 7406) : der= 5-(28,13,97911) and res= 5-(28,14,163185) - the given design is the derived.

---

# 7408: 5-(30,15,652740)

• clan: 11-(30,15,774), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,261096) (# 7407)

---

# 7409: 5-(24,9,78)

• clan: 11-(30,15,78), 6 times derived
• $PGL(2,23)$ (6 isomorphism types)

---

# 7410: 5-(25,10,312)

• clan: 11-(30,15,78), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,78) (# 7409) : der= 5-(24,9,78) and res= 5-(24,10,234) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,78) $\cup$ 5-(24,10,234)

---

# 7411: 5-(24,9,780)

• clan: 13-(32,16,195), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7412: 5-(25,9,975)

• clan: 13-(32,16,195), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,780) (# 7411) : der= 5-(24,8,195) and res= 5-(24,9,780) - the given design is the residual.
• derived from 6-(26,10,975) (# 10558)

---

# 7413: 5-(25,10,3120)

• clan: 13-(32,16,195), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,780) (# 7411) : der= 5-(24,9,780) and res= 5-(24,10,2340) - the given design is the derived.
• residual design of 6-(26,10,975) (# 10558)

---

# 7414: 5-(26,10,4095)

• clan: 13-(32,16,195), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,975) (# 7412) : der= 5-(25,9,975) and res= 5-(25,10,3120) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3120) (# 7413) : der= 5-(25,9,975) and res= 5-(25,10,3120) - the given design is the residual.
• design 6-(26,10,975) (# 10558) with respect to smaller t

---

# 7415: 5-(24,9,786)

• clan: 11-(30,15,786), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7416: 5-(25,10,3144)

• clan: 11-(30,15,786), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,786) (# 7415) : der= 5-(24,9,786) and res= 5-(24,10,2358) - the given design is the derived.

---

# 7417: 5-(24,9,792)

• clan: 13-(32,16,198), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7418: 5-(25,9,990)

• clan: 13-(32,16,198), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,792) (# 7417) : der= 5-(24,8,198) and res= 5-(24,9,792) - the given design is the residual.

---

# 7419: 5-(25,10,3168)

• clan: 13-(32,16,198), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,792) (# 7417) : der= 5-(24,9,792) and res= 5-(24,10,2376) - the given design is the derived.

---

# 7420: 5-(26,10,4158)

• clan: 13-(32,16,198), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,990) (# 7418) : der= 5-(25,9,990) and res= 5-(25,10,3168) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3168) (# 7419) : der= 5-(25,9,990) and res= 5-(25,10,3168) - the given design is the residual.

---

# 7421: 5-(26,11,11088)

• clan: 13-(32,16,198), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,3168) (# 7419) : der= 5-(25,10,3168) and res= 5-(25,11,7920) - the given design is the derived.

---

# 7422: 5-(27,11,15246)

• clan: 13-(32,16,198), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,4158) (# 7420) : der= 5-(26,10,4158) and res= 5-(26,11,11088) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,11088) (# 7421) : der= 5-(26,10,4158) and res= 5-(26,11,11088) - the given design is the residual.

---

# 7423: 5-(27,12,34848)

• clan: 13-(32,16,198), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,11088) (# 7421) : der= 5-(26,11,11088) and res= 5-(26,12,23760) - the given design is the derived.

---

# 7424: 5-(28,12,50094)

• clan: 13-(32,16,198), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,15246) (# 7422) : der= 5-(27,11,15246) and res= 5-(27,12,34848) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,34848) (# 7423) : der= 5-(27,11,15246) and res= 5-(27,12,34848) - the given design is the residual.

---

# 7425: 5-(28,13,100188)

• clan: 13-(32,16,198), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,34848) (# 7423) : der= 5-(27,12,34848) and res= 5-(27,13,65340) - the given design is the derived.

---

# 7426: 5-(29,13,150282)

• clan: 13-(32,16,198), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,50094) (# 7424) : der= 5-(28,12,50094) and res= 5-(28,13,100188) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,100188) (# 7425) : der= 5-(28,12,50094) and res= 5-(28,13,100188) - the given design is the residual.

---

# 7427: 5-(29,14,267168)

• clan: 13-(32,16,198), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,100188) (# 7425) : der= 5-(28,13,100188) and res= 5-(28,14,166980) - the given design is the derived.

---

# 7428: 5-(30,14,417450)

• clan: 13-(32,16,198), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,150282) (# 7426) : der= 5-(29,13,150282) and res= 5-(29,14,267168) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,267168) (# 7427) : der= 5-(29,13,150282) and res= 5-(29,14,267168) - the given design is the residual.

---

# 7429: 5-(30,15,667920)

• clan: 13-(32,16,198), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,267168) (# 7427)

---

# 7430: 5-(31,15,1085370)

• clan: 13-(32,16,198), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,417450) (# 7428) : der= 5-(30,14,417450) and res= 5-(30,15,667920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,667920) (# 7429) : der= 5-(30,14,417450) and res= 5-(30,15,667920) - the given design is the residual.

---

# 7431: 5-(32,16,2664090)

• clan: 13-(32,16,198), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1085370) (# 7430)

---

# 7432: 5-(24,9,798)

• clan: 13-(30,15,28), 2 times reduced t, 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7433: 5-(25,10,3192)

• clan: 13-(30,15,28), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,798) (# 7432) : der= 5-(24,9,798) and res= 5-(24,10,2394) - the given design is the derived.
• derived from 6-(26,11,3192) (# 14643)
• derived from supplementary of 6-(26,11,12312) (# 14646)

---

# 7434: 5-(24,9,804)

• clan: 13-(32,16,201), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7435: 5-(25,9,1005)

• clan: 13-(32,16,201), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,804) (# 7434) : der= 5-(24,8,201) and res= 5-(24,9,804) - the given design is the residual.

---

# 7436: 5-(25,10,3216)

• clan: 13-(32,16,201), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,804) (# 7434) : der= 5-(24,9,804) and res= 5-(24,10,2412) - the given design is the derived.

---

# 7437: 5-(26,10,4221)

• clan: 13-(32,16,201), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1005) (# 7435) : der= 5-(25,9,1005) and res= 5-(25,10,3216) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3216) (# 7436) : der= 5-(25,9,1005) and res= 5-(25,10,3216) - the given design is the residual.

---

# 7438: 5-(24,9,810)

• clan: 11-(30,15,810), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7439: 5-(25,10,3240)

• clan: 11-(30,15,810), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,810) (# 7438) : der= 5-(24,9,810) and res= 5-(24,10,2430) - the given design is the derived.

---

# 7440: 5-(24,9,816)

• clan: 17-(36,18,4), 9 times derived, 3 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,9,204) (# 10426)

---

# 7441: 5-(25,9,1020)

• clan: 17-(36,18,4), 1 times reduced t, 9 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,9,816) (# 7440) : der= 5-(24,8,204) and res= 5-(24,9,816) - the given design is the residual.
• design 6-(25,9,204) (# 10426) with respect to smaller t
• residual design of 6-(26,9,240) (# 10429)
• derived from 6-(26,10,1020) (# 10467)
• residual design of supplementary of 6-(26,9,900) (# 13788)
• derived from supplementary of 6-(26,10,3825) (# 13789)

---

# 7442: 5-(25,10,3264)

• clan: 17-(36,18,4), 1 times reduced t, 8 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(24,9,816) (# 7440) : der= 5-(24,9,816) and res= 5-(24,10,2448) - the given design is the derived.
• residual design of 6-(26,10,1020) (# 10467)
• residual design of supplementary of 6-(26,10,3825) (# 13789)

---

# 7443: 5-(26,9,1260)

• clan: 17-(36,18,4), 2 times reduced t, 9 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,9,1020) (# 7441) : der= 5-(25,8,240) and res= 5-(25,9,1020) - the given design is the residual.
• $PGL(2,25)$
• design 6-(26,9,240) (# 10429) with respect to smaller t
• derived from 6-(27,10,1260) (# 10470)
• residual design of 6-(27,9,280) (# 11614)
• derived from supplementary of 6-(27,10,4725) (# 13787)
• supplementary design of 6-(26,9,900) (# 13788) with respect to smaller t

---

# 7444: 5-(26,10,4284)

• clan: 17-(36,18,4), 2 times reduced t, 8 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(25,9,1020) (# 7441) : der= 5-(25,9,1020) and res= 5-(25,10,3264) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3264) (# 7442) : der= 5-(25,9,1020) and res= 5-(25,10,3264) - the given design is the residual.
• design 6-(26,10,1020) (# 10467) with respect to smaller t
• residual design of 6-(27,10,1260) (# 10470)
• residual design of supplementary of 6-(27,10,4725) (# 13787)
• supplementary design of 6-(26,10,3825) (# 13789) with respect to smaller t

---

# 7445: 5-(27,9,1540)

• clan: 17-(36,18,4), 3 times reduced t, 9 times derived
• Tran van Trung construction (left) for 5-(26,9,1260) (# 7443) : der= 5-(26,8,280) and res= 5-(26,9,1260) - the given design is the residual.
• $PGL(2,25)+$
• design 6-(27,9,280) (# 11614) with respect to smaller t
• derived from 6-(28,10,1540) (# 11617)

---

# 7446: 5-(27,10,5544)

• clan: 17-(36,18,4), 3 times reduced t, 8 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,9,1260) (# 7443) : der= 5-(26,9,1260) and res= 5-(26,10,4284) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,10,4284) (# 7444) : der= 5-(26,9,1260) and res= 5-(26,10,4284) - the given design is the residual.
• design 6-(27,10,1260) (# 10470) with respect to smaller t
• residual design of 6-(28,10,1540) (# 11617)
• supplementary design of 6-(27,10,4725) (# 13787) with respect to smaller t

---

# 7447: 5-(28,10,7084)

• clan: 17-(36,18,4), 4 times reduced t, 8 times derived
• Tran van Trung construction (right) for 5-(27,9,1540) (# 7445) : der= 5-(27,9,1540) and res= 5-(27,10,5544) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,10,5544) (# 7446) : der= 5-(27,9,1540) and res= 5-(27,10,5544) - the given design is the residual.
• design 6-(28,10,1540) (# 11617) with respect to smaller t

---

# 7448: 5-(24,9,822)

• clan: 11-(30,15,822), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7449: 5-(25,10,3288)

• clan: 11-(30,15,822), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,822) (# 7448) : der= 5-(24,9,822) and res= 5-(24,10,2466) - the given design is the derived.

---

# 7450: 5-(24,9,828)

• clan: 13-(32,16,207), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7451: 5-(25,9,1035)

• clan: 13-(32,16,207), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,828) (# 7450) : der= 5-(24,8,207) and res= 5-(24,9,828) - the given design is the residual.
• derived from 6-(26,10,1035) (# 13798)
• derived from supplementary of 6-(26,10,3810) (# 13801)

---

# 7452: 5-(25,10,3312)

• clan: 13-(32,16,207), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,828) (# 7450) : der= 5-(24,9,828) and res= 5-(24,10,2484) - the given design is the derived.
• residual design of 6-(26,10,1035) (# 13798)
• derived from 6-(26,11,3312) (# 13799)
• residual design of supplementary of 6-(26,10,3810) (# 13801)
• derived from supplementary of 6-(26,11,12192) (# 13802)

---

# 7453: 5-(26,10,4347)

• clan: 13-(32,16,207), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1035) (# 7451) : der= 5-(25,9,1035) and res= 5-(25,10,3312) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3312) (# 7452) : der= 5-(25,9,1035) and res= 5-(25,10,3312) - the given design is the residual.
• derived from 6-(27,11,4347) (# 13797)
• design 6-(26,10,1035) (# 13798) with respect to smaller t
• derived from supplementary of 6-(27,11,16002) (# 13800)
• supplementary design of 6-(26,10,3810) (# 13801) with respect to smaller t

---

# 7454: 5-(24,9,834)

• clan: 11-(30,15,834), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7455: 5-(25,10,3336)

• clan: 11-(30,15,834), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,834) (# 7454) : der= 5-(24,9,834) and res= 5-(24,10,2502) - the given design is the derived.

---

# 7456: 5-(24,9,84)

• clan: 13-(32,16,21), 7 times derived, 1 times residual
• $PGL(2,23)$ (11 isomorphism types)

---

# 7457: 5-(25,9,105)

• clan: 13-(32,16,21), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,84) (# 7456) : der= 5-(24,8,21) and res= 5-(24,9,84) - the given design is the residual.

---

# 7458: 5-(25,10,336)

• clan: 13-(32,16,21), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,84) (# 7456) : der= 5-(24,9,84) and res= 5-(24,10,252) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,84) $\cup$ 5-(24,10,252)

---

# 7459: 5-(26,10,441)

• clan: 13-(32,16,21), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,105) (# 7457) : der= 5-(25,9,105) and res= 5-(25,10,336) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,336) (# 7458) : der= 5-(25,9,105) and res= 5-(25,10,336) - the given design is the residual.

---

# 7460: 5-(24,9,840)

• clan: 13-(32,16,210), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7461: 5-(25,9,1050)

• clan: 13-(32,16,210), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,840) (# 7460) : der= 5-(24,8,210) and res= 5-(24,9,840) - the given design is the residual.

---

# 7462: 5-(25,10,3360)

• clan: 13-(32,16,210), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,840) (# 7460) : der= 5-(24,9,840) and res= 5-(24,10,2520) - the given design is the derived.

---

# 7463: 5-(26,10,4410)

• clan: 13-(32,16,210), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1050) (# 7461) : der= 5-(25,9,1050) and res= 5-(25,10,3360) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3360) (# 7462) : der= 5-(25,9,1050) and res= 5-(25,10,3360) - the given design is the residual.

---

# 7464: 5-(26,11,11760)

• clan: 13-(32,16,210), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,3360) (# 7462) : der= 5-(25,10,3360) and res= 5-(25,11,8400) - the given design is the derived.

---

# 7465: 5-(27,11,16170)

• clan: 13-(32,16,210), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,4410) (# 7463) : der= 5-(26,10,4410) and res= 5-(26,11,11760) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,11760) (# 7464) : der= 5-(26,10,4410) and res= 5-(26,11,11760) - the given design is the residual.

---

# 7466: 5-(27,12,36960)

• clan: 13-(32,16,210), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,11760) (# 7464) : der= 5-(26,11,11760) and res= 5-(26,12,25200) - the given design is the derived.

---

# 7467: 5-(28,12,53130)

• clan: 13-(32,16,210), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,16170) (# 7465) : der= 5-(27,11,16170) and res= 5-(27,12,36960) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,36960) (# 7466) : der= 5-(27,11,16170) and res= 5-(27,12,36960) - the given design is the residual.

---

# 7468: 5-(28,13,106260)

• clan: 13-(32,16,210), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,36960) (# 7466) : der= 5-(27,12,36960) and res= 5-(27,13,69300) - the given design is the derived.

---

# 7469: 5-(29,13,159390)

• clan: 13-(32,16,210), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,53130) (# 7467) : der= 5-(28,12,53130) and res= 5-(28,13,106260) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,106260) (# 7468) : der= 5-(28,12,53130) and res= 5-(28,13,106260) - the given design is the residual.

---

# 7470: 5-(29,14,283360)

• clan: 13-(32,16,210), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,106260) (# 7468) : der= 5-(28,13,106260) and res= 5-(28,14,177100) - the given design is the derived.

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# 7471: 5-(30,14,442750)

• clan: 13-(32,16,210), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,159390) (# 7469) : der= 5-(29,13,159390) and res= 5-(29,14,283360) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,283360) (# 7470) : der= 5-(29,13,159390) and res= 5-(29,14,283360) - the given design is the residual.

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# 7472: 5-(30,15,708400)

• clan: 13-(32,16,210), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,283360) (# 7470)

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# 7473: 5-(31,15,1151150)

• clan: 13-(32,16,210), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,442750) (# 7471) : der= 5-(30,14,442750) and res= 5-(30,15,708400) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,708400) (# 7472) : der= 5-(30,14,442750) and res= 5-(30,15,708400) - the given design is the residual.

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# 7474: 5-(32,16,2825550)

• clan: 13-(32,16,210), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1151150) (# 7473)

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# 7475: 5-(24,9,846)

• clan: 11-(30,15,846), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7476: 5-(25,10,3384)

• clan: 11-(30,15,846), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,846) (# 7475) : der= 5-(24,9,846) and res= 5-(24,10,2538) - the given design is the derived.

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# 7477: 5-(24,9,852)

• clan: 13-(32,16,213), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7478: 5-(25,9,1065)

• clan: 13-(32,16,213), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,852) (# 7477) : der= 5-(24,8,213) and res= 5-(24,9,852) - the given design is the residual.

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# 7479: 5-(25,10,3408)

• clan: 13-(32,16,213), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,852) (# 7477) : der= 5-(24,9,852) and res= 5-(24,10,2556) - the given design is the derived.

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# 7480: 5-(26,10,4473)

• clan: 13-(32,16,213), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1065) (# 7478) : der= 5-(25,9,1065) and res= 5-(25,10,3408) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3408) (# 7479) : der= 5-(25,9,1065) and res= 5-(25,10,3408) - the given design is the residual.

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# 7481: 5-(24,9,858)

• clan: 11-(30,15,858), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7482: 5-(25,10,3432)

• clan: 11-(30,15,858), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,858) (# 7481) : der= 5-(24,9,858) and res= 5-(24,10,2574) - the given design is the derived.

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# 7483: 5-(26,11,12012)

• clan: 11-(30,15,858), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,3432) (# 7482) : der= 5-(25,10,3432) and res= 5-(25,11,8580) - the given design is the derived.

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# 7484: 5-(27,12,37752)

• clan: 11-(30,15,858), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,12012) (# 7483) : der= 5-(26,11,12012) and res= 5-(26,12,25740) - the given design is the derived.

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# 7485: 5-(28,13,108537)

• clan: 11-(30,15,858), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,37752) (# 7484) : der= 5-(27,12,37752) and res= 5-(27,13,70785) - the given design is the derived.

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# 7486: 5-(29,14,289432)

• clan: 11-(30,15,858), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,108537) (# 7485) : der= 5-(28,13,108537) and res= 5-(28,14,180895) - the given design is the derived.

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# 7487: 5-(30,15,723580)

• clan: 11-(30,15,858), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,289432) (# 7486)

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# 7488: 5-(24,9,864)

• clan: 13-(32,16,216), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7489: 5-(25,9,1080)

• clan: 13-(32,16,216), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,864) (# 7488) : der= 5-(24,8,216) and res= 5-(24,9,864) - the given design is the residual.
• derived from 6-(26,10,1080) (# 13813)
• derived from supplementary of 6-(26,10,3765) (# 13816)

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# 7490: 5-(25,10,3456)

• clan: 13-(32,16,216), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,864) (# 7488) : der= 5-(24,9,864) and res= 5-(24,10,2592) - the given design is the derived.
• residual design of 6-(26,10,1080) (# 13813)
• derived from 6-(26,11,3456) (# 13814)
• residual design of supplementary of 6-(26,10,3765) (# 13816)
• derived from supplementary of 6-(26,11,12048) (# 13817)

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# 7491: 5-(26,10,4536)

• clan: 13-(32,16,216), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1080) (# 7489) : der= 5-(25,9,1080) and res= 5-(25,10,3456) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3456) (# 7490) : der= 5-(25,9,1080) and res= 5-(25,10,3456) - the given design is the residual.
• derived from 6-(27,11,4536) (# 10639)
• design 6-(26,10,1080) (# 13813) with respect to smaller t
• derived from supplementary of 6-(27,11,15813) (# 13815)
• supplementary design of 6-(26,10,3765) (# 13816) with respect to smaller t

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# 7492: 5-(24,9,870)

• clan: 11-(30,15,870), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7493: 5-(25,10,3480)

• clan: 11-(30,15,870), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,870) (# 7492) : der= 5-(24,9,870) and res= 5-(24,10,2610) - the given design is the derived.

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# 7494: 5-(24,9,876)

• clan: 13-(32,16,219), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7495: 5-(25,9,1095)

• clan: 13-(32,16,219), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,876) (# 7494) : der= 5-(24,8,219) and res= 5-(24,9,876) - the given design is the residual.

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# 7496: 5-(25,10,3504)

• clan: 13-(32,16,219), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,876) (# 7494) : der= 5-(24,9,876) and res= 5-(24,10,2628) - the given design is the derived.

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# 7497: 5-(26,10,4599)

• clan: 13-(32,16,219), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,1095) (# 7495) : der= 5-(25,9,1095) and res= 5-(25,10,3504) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3504) (# 7496) : der= 5-(25,9,1095) and res= 5-(25,10,3504) - the given design is the residual.

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# 7498: 5-(24,9,882)

• clan: 11-(30,15,882), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7499: 5-(25,10,3528)

• clan: 11-(30,15,882), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,882) (# 7498) : der= 5-(24,9,882) and res= 5-(24,10,2646) - the given design is the derived.

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created: Fri Oct 23 11:10:33 CEST 2009