t designs with small t, id ge 7300

---

# 7300: 5-(29,14,22264)

• clan: 11-(30,15,66), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,8349) (# 7299) : der= 5-(28,13,8349) and res= 5-(28,14,13915) - the given design is the derived.

---

# 7301: 5-(30,15,55660)

• clan: 11-(30,15,66), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,22264) (# 7300)

---

# 7302: 5-(24,9,660)

• clan: 13-(32,16,165), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7303: 5-(25,9,825)

• clan: 13-(32,16,165), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,660) (# 7302) : der= 5-(24,8,165) and res= 5-(24,9,660) - the given design is the residual.

---

# 7304: 5-(25,10,2640)

• clan: 13-(32,16,165), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,660) (# 7302) : der= 5-(24,9,660) and res= 5-(24,10,1980) - the given design is the derived.

---

# 7305: 5-(26,10,3465)

• clan: 13-(32,16,165), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,825) (# 7303) : der= 5-(25,9,825) and res= 5-(25,10,2640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2640) (# 7304) : der= 5-(25,9,825) and res= 5-(25,10,2640) - the given design is the residual.

---

# 7306: 5-(26,11,9240)

• clan: 13-(32,16,165), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,2640) (# 7304) : der= 5-(25,10,2640) and res= 5-(25,11,6600) - the given design is the derived.

---

# 7307: 5-(27,11,12705)

• clan: 13-(32,16,165), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,3465) (# 7305) : der= 5-(26,10,3465) and res= 5-(26,11,9240) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,9240) (# 7306) : der= 5-(26,10,3465) and res= 5-(26,11,9240) - the given design is the residual.

---

# 7308: 5-(27,12,29040)

• clan: 13-(32,16,165), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,9240) (# 7306) : der= 5-(26,11,9240) and res= 5-(26,12,19800) - the given design is the derived.

---

# 7309: 5-(28,12,41745)

• clan: 13-(32,16,165), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,12705) (# 7307) : der= 5-(27,11,12705) and res= 5-(27,12,29040) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,29040) (# 7308) : der= 5-(27,11,12705) and res= 5-(27,12,29040) - the given design is the residual.

---

# 7310: 5-(28,13,83490)

• clan: 13-(32,16,165), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,29040) (# 7308) : der= 5-(27,12,29040) and res= 5-(27,13,54450) - the given design is the derived.

---

# 7311: 5-(29,13,125235)

• clan: 13-(32,16,165), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,41745) (# 7309) : der= 5-(28,12,41745) and res= 5-(28,13,83490) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,83490) (# 7310) : der= 5-(28,12,41745) and res= 5-(28,13,83490) - the given design is the residual.

---

# 7312: 5-(29,14,222640)

• clan: 13-(32,16,165), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,83490) (# 7310) : der= 5-(28,13,83490) and res= 5-(28,14,139150) - the given design is the derived.

---

# 7313: 5-(30,14,347875)

• clan: 13-(32,16,165), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,125235) (# 7311) : der= 5-(29,13,125235) and res= 5-(29,14,222640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,222640) (# 7312) : der= 5-(29,13,125235) and res= 5-(29,14,222640) - the given design is the residual.

---

# 7314: 5-(30,15,556600)

• clan: 13-(32,16,165), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,222640) (# 7312)

---

# 7315: 5-(31,15,904475)

• clan: 13-(32,16,165), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,347875) (# 7313) : der= 5-(30,14,347875) and res= 5-(30,15,556600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,556600) (# 7314) : der= 5-(30,14,347875) and res= 5-(30,15,556600) - the given design is the residual.

---

# 7316: 5-(32,16,2220075)

• clan: 13-(32,16,165), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,904475) (# 7315)

---

# 7317: 5-(24,9,666)

• clan: 11-(30,15,666), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7318: 5-(25,10,2664)

• clan: 11-(30,15,666), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,666) (# 7317) : der= 5-(24,9,666) and res= 5-(24,10,1998) - the given design is the derived.

---

# 7319: 5-(24,9,672)

• clan: 13-(32,16,168), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7320: 5-(25,9,840)

• clan: 13-(32,16,168), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,672) (# 7319) : der= 5-(24,8,168) and res= 5-(24,9,672) - the given design is the residual.
• derived from 6-(26,10,840) (# 14464)
• derived from supplementary of 6-(26,10,4005) (# 14467)

---

# 7321: 5-(25,10,2688)

• clan: 13-(32,16,168), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,672) (# 7319) : der= 5-(24,9,672) and res= 5-(24,10,2016) - the given design is the derived.
• residual design of 6-(26,10,840) (# 14464)
• derived from 6-(26,11,2688) (# 14465)
• residual design of supplementary of 6-(26,10,4005) (# 14467)
• derived from supplementary of 6-(26,11,12816) (# 14468)

---

# 7322: 5-(26,10,3528)

• clan: 13-(32,16,168), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,840) (# 7320) : der= 5-(25,9,840) and res= 5-(25,10,2688) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2688) (# 7321) : der= 5-(25,9,840) and res= 5-(25,10,2688) - the given design is the residual.
• derived from 6-(27,11,3528) (# 14463)
• design 6-(26,10,840) (# 14464) with respect to smaller t
• derived from supplementary of 6-(27,11,16821) (# 14466)
• supplementary design of 6-(26,10,4005) (# 14467) with respect to smaller t

---

# 7323: 5-(24,9,678)

• clan: 11-(30,15,678), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7324: 5-(25,10,2712)

• clan: 11-(30,15,678), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,678) (# 7323) : der= 5-(24,9,678) and res= 5-(24,10,2034) - the given design is the derived.

---

# 7325: 5-(24,9,684)

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

---

# 7326: 5-(25,9,855)

• clan: 15-(32,16,3), 3 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,684) (# 7325) : der= 5-(24,8,171) and res= 5-(24,9,684) - the given design is the residual.

---

# 7327: 5-(25,10,2736)

• clan: 15-(32,16,3), 3 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,684) (# 7325) : der= 5-(24,9,684) and res= 5-(24,10,2052) - the given design is the derived.

---

# 7328: 5-(26,10,3591)

• clan: 15-(32,16,3), 4 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,855) (# 7326) : der= 5-(25,9,855) and res= 5-(25,10,2736) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2736) (# 7327) : der= 5-(25,9,855) and res= 5-(25,10,2736) - the given design is the residual.

---

# 7329: 5-(26,11,9576)

• clan: 15-(32,16,3), 4 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,2736) (# 7327) : der= 5-(25,10,2736) and res= 5-(25,11,6840) - the given design is the derived.

---

# 7330: 5-(27,11,13167)

• clan: 15-(32,16,3), 5 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,3591) (# 7328) : der= 5-(26,10,3591) and res= 5-(26,11,9576) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,9576) (# 7329) : der= 5-(26,10,3591) and res= 5-(26,11,9576) - the given design is the residual.

---

# 7331: 5-(27,12,30096)

• clan: 15-(32,16,3), 5 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,9576) (# 7329) : der= 5-(26,11,9576) and res= 5-(26,12,20520) - the given design is the derived.

---

# 7332: 5-(28,12,43263)

• clan: 15-(32,16,3), 6 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,13167) (# 7330) : der= 5-(27,11,13167) and res= 5-(27,12,30096) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,30096) (# 7331) : der= 5-(27,11,13167) and res= 5-(27,12,30096) - the given design is the residual.

---

# 7333: 5-(28,13,86526)

• clan: 15-(32,16,3), 6 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,30096) (# 7331) : der= 5-(27,12,30096) and res= 5-(27,13,56430) - the given design is the derived.

---

# 7334: 5-(29,13,129789)

• clan: 15-(32,16,3), 7 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,43263) (# 7332) : der= 5-(28,12,43263) and res= 5-(28,13,86526) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,86526) (# 7333) : der= 5-(28,12,43263) and res= 5-(28,13,86526) - the given design is the residual.

---

# 7335: 5-(29,14,230736)

• clan: 15-(32,16,3), 7 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,86526) (# 7333) : der= 5-(28,13,86526) and res= 5-(28,14,144210) - the given design is the derived.

---

# 7336: 5-(30,14,360525)

• clan: 15-(32,16,3), 8 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,129789) (# 7334) : der= 5-(29,13,129789) and res= 5-(29,14,230736) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,230736) (# 7335) : der= 5-(29,13,129789) and res= 5-(29,14,230736) - the given design is the residual.

---

# 7337: 5-(30,15,576840)

• clan: 15-(32,16,3), 8 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,230736) (# 7335)

---

# 7338: 5-(31,15,937365)

• clan: 15-(32,16,3), 9 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,360525) (# 7336) : der= 5-(30,14,360525) and res= 5-(30,15,576840) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,576840) (# 7337) : der= 5-(30,14,360525) and res= 5-(30,15,576840) - the given design is the residual.

---

# 7339: 5-(32,16,2300805)

• clan: 15-(32,16,3), 10 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,937365) (# 7338)

---

# 7340: 5-(24,9,690)

• clan: 11-(30,15,690), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7341: 5-(25,10,2760)

• clan: 11-(30,15,690), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,690) (# 7340) : der= 5-(24,9,690) and res= 5-(24,10,2070) - the given design is the derived.

---

# 7342: 5-(24,9,696)

• clan: 13-(32,16,174), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7343: 5-(25,9,870)

• clan: 13-(32,16,174), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,696) (# 7342) : der= 5-(24,8,174) and res= 5-(24,9,696) - the given design is the residual.

---

# 7344: 5-(25,10,2784)

• clan: 13-(32,16,174), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,696) (# 7342) : der= 5-(24,9,696) and res= 5-(24,10,2088) - the given design is the derived.

---

# 7345: 5-(26,10,3654)

• clan: 13-(32,16,174), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,870) (# 7343) : der= 5-(25,9,870) and res= 5-(25,10,2784) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2784) (# 7344) : der= 5-(25,9,870) and res= 5-(25,10,2784) - the given design is the residual.

---

# 7346: 5-(24,9,702)

• clan: 11-(30,15,702), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7347: 5-(25,10,2808)

• clan: 11-(30,15,702), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,702) (# 7346) : der= 5-(24,9,702) and res= 5-(24,10,2106) - the given design is the derived.

---

# 7348: 5-(24,9,708)

• clan: 13-(32,16,177), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7349: 5-(25,9,885)

• clan: 13-(32,16,177), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,708) (# 7348) : der= 5-(24,8,177) and res= 5-(24,9,708) - the given design is the residual.

---

# 7350: 5-(25,10,2832)

• clan: 13-(32,16,177), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,708) (# 7348) : der= 5-(24,9,708) and res= 5-(24,10,2124) - the given design is the derived.

---

# 7351: 5-(26,10,3717)

• clan: 13-(32,16,177), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,885) (# 7349) : der= 5-(25,9,885) and res= 5-(25,10,2832) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2832) (# 7350) : der= 5-(25,9,885) and res= 5-(25,10,2832) - the given design is the residual.

---

# 7352: 5-(26,11,9912)

• clan: 13-(32,16,177), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,2832) (# 7350) : der= 5-(25,10,2832) and res= 5-(25,11,7080) - the given design is the derived.

---

# 7353: 5-(27,11,13629)

• clan: 13-(32,16,177), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,3717) (# 7351) : der= 5-(26,10,3717) and res= 5-(26,11,9912) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,9912) (# 7352) : der= 5-(26,10,3717) and res= 5-(26,11,9912) - the given design is the residual.

---

# 7354: 5-(27,12,31152)

• clan: 13-(32,16,177), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,9912) (# 7352) : der= 5-(26,11,9912) and res= 5-(26,12,21240) - the given design is the derived.

---

# 7355: 5-(28,12,44781)

• clan: 13-(32,16,177), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,13629) (# 7353) : der= 5-(27,11,13629) and res= 5-(27,12,31152) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,31152) (# 7354) : der= 5-(27,11,13629) and res= 5-(27,12,31152) - the given design is the residual.

---

# 7356: 5-(28,13,89562)

• clan: 13-(32,16,177), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,31152) (# 7354) : der= 5-(27,12,31152) and res= 5-(27,13,58410) - the given design is the derived.

---

# 7357: 5-(29,13,134343)

• clan: 13-(32,16,177), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,44781) (# 7355) : der= 5-(28,12,44781) and res= 5-(28,13,89562) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,89562) (# 7356) : der= 5-(28,12,44781) and res= 5-(28,13,89562) - the given design is the residual.

---

# 7358: 5-(29,14,238832)

• clan: 13-(32,16,177), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,89562) (# 7356) : der= 5-(28,13,89562) and res= 5-(28,14,149270) - the given design is the derived.

---

# 7359: 5-(30,14,373175)

• clan: 13-(32,16,177), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,134343) (# 7357) : der= 5-(29,13,134343) and res= 5-(29,14,238832) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,238832) (# 7358) : der= 5-(29,13,134343) and res= 5-(29,14,238832) - the given design is the residual.

---

# 7360: 5-(30,15,597080)

• clan: 13-(32,16,177), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,238832) (# 7358)

---

# 7361: 5-(31,15,970255)

• clan: 13-(32,16,177), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,373175) (# 7359) : der= 5-(30,14,373175) and res= 5-(30,15,597080) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,597080) (# 7360) : der= 5-(30,14,373175) and res= 5-(30,15,597080) - the given design is the residual.

---

# 7362: 5-(32,16,2381535)

• clan: 13-(32,16,177), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,970255) (# 7361)

---

# 7363: 5-(24,9,714)

• clan: 11-(30,15,714), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• $PSL(2,23)$

---

# 7364: 5-(25,10,2856)

• clan: 11-(30,15,714), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,714) (# 7363) : der= 5-(24,9,714) and res= 5-(24,10,2142) - the given design is the derived.

---

# 7365: 5-(24,9,72)

• clan: 13-(32,16,18), 7 times derived, 1 times residual
• $PGL(2,23)$ (7 isomorphism types)

---

# 7366: 5-(25,9,90)

• clan: 13-(32,16,18), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,72) (# 7365) : der= 5-(24,8,18) and res= 5-(24,9,72) - the given design is the residual.

---

# 7367: 5-(25,10,288)

• clan: 13-(32,16,18), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,72) (# 7365) : der= 5-(24,9,72) and res= 5-(24,10,216) - the given design is the derived.
• $PSL(2,23)+$ TvT construction 5-(24,9,72) $\cup$ 5-(24,10,216)

---

# 7368: 5-(26,10,378)

• clan: 13-(32,16,18), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,90) (# 7366) : der= 5-(25,9,90) and res= 5-(25,10,288) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,288) (# 7367) : der= 5-(25,9,90) and res= 5-(25,10,288) - the given design is the residual.

---

# 7369: 5-(24,9,720)

• clan: 13-(32,16,180), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,9,180) (# 10420)

---

# 7370: 5-(25,9,900)

• clan: 13-(32,16,180), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,720) (# 7369) : der= 5-(24,8,180) and res= 5-(24,9,720) - the given design is the residual.
• design 6-(25,9,180) (# 10420) with respect to smaller t
• derived from 6-(26,10,900) (# 10552)
• derived from supplementary of 6-(26,10,3945) (# 14482)

---

# 7371: 5-(25,10,2880)

• clan: 13-(32,16,180), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,720) (# 7369) : der= 5-(24,9,720) and res= 5-(24,10,2160) - the given design is the derived.
• residual design of 6-(26,10,900) (# 10552)
• derived from 6-(26,11,2880) (# 14480)
• residual design of supplementary of 6-(26,10,3945) (# 14482)
• derived from supplementary of 6-(26,11,12624) (# 14483)

---

# 7372: 5-(26,10,3780)

• clan: 13-(32,16,180), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,900) (# 7370) : der= 5-(25,9,900) and res= 5-(25,10,2880) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2880) (# 7371) : der= 5-(25,9,900) and res= 5-(25,10,2880) - the given design is the residual.
• design 6-(26,10,900) (# 10552) with respect to smaller t
• derived from 6-(27,11,3780) (# 14479)
• derived from supplementary of 6-(27,11,16569) (# 14481)
• supplementary design of 6-(26,10,3945) (# 14482) with respect to smaller t

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# 7373: 5-(24,9,726)

• clan: 11-(30,15,726), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7374: 5-(25,10,2904)

• clan: 11-(30,15,726), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,726) (# 7373) : der= 5-(24,9,726) and res= 5-(24,10,2178) - the given design is the derived.

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# 7375: 5-(26,11,10164)

• clan: 11-(30,15,726), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,2904) (# 7374) : der= 5-(25,10,2904) and res= 5-(25,11,7260) - the given design is the derived.

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# 7376: 5-(27,12,31944)

• clan: 11-(30,15,726), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,10164) (# 7375) : der= 5-(26,11,10164) and res= 5-(26,12,21780) - the given design is the derived.

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# 7377: 5-(28,13,91839)

• clan: 11-(30,15,726), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,31944) (# 7376) : der= 5-(27,12,31944) and res= 5-(27,13,59895) - the given design is the derived.

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# 7378: 5-(29,14,244904)

• clan: 11-(30,15,726), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,91839) (# 7377) : der= 5-(28,13,91839) and res= 5-(28,14,153065) - the given design is the derived.

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# 7379: 5-(30,15,612260)

• clan: 11-(30,15,726), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,244904) (# 7378)

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# 7380: 5-(24,9,732)

• clan: 13-(32,16,183), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7381: 5-(25,9,915)

• clan: 13-(32,16,183), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,732) (# 7380) : der= 5-(24,8,183) and res= 5-(24,9,732) - the given design is the residual.

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# 7382: 5-(25,10,2928)

• clan: 13-(32,16,183), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,732) (# 7380) : der= 5-(24,9,732) and res= 5-(24,10,2196) - the given design is the derived.

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# 7383: 5-(26,10,3843)

• clan: 13-(32,16,183), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,915) (# 7381) : der= 5-(25,9,915) and res= 5-(25,10,2928) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2928) (# 7382) : der= 5-(25,9,915) and res= 5-(25,10,2928) - the given design is the residual.

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# 7384: 5-(24,9,738)

• clan: 11-(30,15,738), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7385: 5-(25,10,2952)

• clan: 11-(30,15,738), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,738) (# 7384) : der= 5-(24,9,738) and res= 5-(24,10,2214) - the given design is the derived.

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# 7386: 5-(24,9,744)

• clan: 13-(32,16,186), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7387: 5-(25,9,930)

• clan: 13-(32,16,186), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,744) (# 7386) : der= 5-(24,8,186) and res= 5-(24,9,744) - the given design is the residual.
• derived from 6-(26,10,930) (# 14492)
• derived from supplementary of 6-(26,10,3915) (# 14495)

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# 7388: 5-(25,10,2976)

• clan: 13-(32,16,186), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,744) (# 7386) : der= 5-(24,9,744) and res= 5-(24,10,2232) - the given design is the derived.
• residual design of 6-(26,10,930) (# 14492)
• derived from 6-(26,11,2976) (# 14493)
• residual design of supplementary of 6-(26,10,3915) (# 14495)
• derived from supplementary of 6-(26,11,12528) (# 14496)

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# 7389: 5-(26,10,3906)

• clan: 13-(32,16,186), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,930) (# 7387) : der= 5-(25,9,930) and res= 5-(25,10,2976) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2976) (# 7388) : der= 5-(25,9,930) and res= 5-(25,10,2976) - the given design is the residual.
• derived from 6-(27,11,3906) (# 14491)
• design 6-(26,10,930) (# 14492) with respect to smaller t
• derived from supplementary of 6-(27,11,16443) (# 14494)
• supplementary design of 6-(26,10,3915) (# 14495) with respect to smaller t

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# 7390: 5-(24,9,750)

• clan: 11-(30,15,750), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7391: 5-(25,10,3000)

• clan: 11-(30,15,750), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,750) (# 7390) : der= 5-(24,9,750) and res= 5-(24,10,2250) - the given design is the derived.

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# 7392: 5-(24,9,756)

• clan: 13-(32,16,189), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,9,189) (# 10423)

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# 7393: 5-(25,9,945)

• clan: 13-(32,16,189), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,756) (# 7392) : der= 5-(24,8,189) and res= 5-(24,9,756) - the given design is the residual.
• design 6-(25,9,189) (# 10423) with respect to smaller t
• derived from 6-(26,10,945) (# 10555)
• derived from supplementary of 6-(26,10,3900) (# 14510)

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# 7394: 5-(25,10,3024)

• clan: 13-(32,16,189), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,756) (# 7392) : der= 5-(24,9,756) and res= 5-(24,10,2268) - the given design is the derived.
• residual design of 6-(26,10,945) (# 10555)
• derived from 6-(26,11,3024) (# 14508)
• residual design of supplementary of 6-(26,10,3900) (# 14510)
• derived from supplementary of 6-(26,11,12480) (# 14511)

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# 7395: 5-(26,10,3969)

• clan: 13-(32,16,189), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,945) (# 7393) : der= 5-(25,9,945) and res= 5-(25,10,3024) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,3024) (# 7394) : der= 5-(25,9,945) and res= 5-(25,10,3024) - the given design is the residual.
• design 6-(26,10,945) (# 10555) with respect to smaller t
• derived from 6-(27,11,3969) (# 14507)
• derived from supplementary of 6-(27,11,16380) (# 14509)
• supplementary design of 6-(26,10,3900) (# 14510) with respect to smaller t

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# 7396: 5-(24,9,762)

• clan: 11-(30,15,762), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7397: 5-(25,10,3048)

• clan: 11-(30,15,762), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,762) (# 7396) : der= 5-(24,9,762) and res= 5-(24,10,2286) - the given design is the derived.

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# 7398: 5-(24,9,768)

• clan: 13-(32,16,192), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7399: 5-(25,9,960)

• clan: 13-(32,16,192), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,768) (# 7398) : der= 5-(24,8,192) and res= 5-(24,9,768) - the given design is the residual.

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created: Fri Oct 23 11:10:30 CEST 2009