design clan: 9_31_10

---

9-(31,10,m*2), 1 <= m <= 5; (5/63) lambda_max=22, lambda_max_half=11
the clan contains 5 families:

• family 0, lambda = 2 containing 2 designs:
  
  minpath=(0, 0, 1) minimal_t=5
  • 8-(30,10,21)
    

  • 7-(30,10,161) 7-(29,10,140)
    7-(29,9,21)
    

  • 6-(30,10,966) 6-(29,10,805) 6-(28,10,665)
    6-(29,9,161) 6-(28,9,140)
    6-(28,8,21)
    

  • 5-(30,10,4830) 5-(29,10,3864) 5-(28,10,3059) 5-(27,10,2394) (#7679)
    5-(29,9,966) 5-(28,9,805) 5-(27,9,665)
    5-(28,8,161) (#7784) 5-(27,8,140)
    5-(27,7,21)
    

• family 1, lambda = 4 containing 17 designs:
  
  minpath=(0, 0, 0) minimal_t=4
  • 9-(31,10,4)
    

  • 8-(31,10,46) 8-(30,10,42)
    8-(30,9,4)
    

  • 7-(31,10,368) 7-(30,10,322) 7-(29,10,280)
    7-(30,9,46) 7-(29,9,42)
    7-(29,8,4)
    

  • 6-(31,10,2300) 6-(30,10,1932) (#11972) 6-(29,10,1610) (#11971) 6-(28,10,1330) (#11654)
    6-(30,9,368) 6-(29,9,322) (#11970) 6-(28,9,280) (#11969)
    6-(29,8,46) 6-(28,8,42) (#11944)
    6-(28,7,4)
    

  • 5-(31,10,11960) 5-(30,10,9660) (#11661) 5-(29,10,7728) (#11660) 5-(28,10,6118) (#11655) 5-(27,10,4788) (#11656)
    5-(30,9,2300) 5-(29,9,1932) (#7997) 5-(28,9,1610) (#7996) 5-(27,9,1330) (#7615)
    5-(29,8,368) 5-(28,8,322) (#7819) 5-(27,8,280) (#11946)
    5-(28,7,46) 5-(27,7,42) (#11945)
    5-(27,6,4)
    

  • 4-(31,10,53820) 4-(30,10,41860) 4-(29,10,32200) 4-(28,10,24472) 4-(27,10,18354) 4-(26,10,13566)
    4-(30,9,11960) 4-(29,9,9660) 4-(28,9,7728) 4-(27,9,6118) 4-(26,9,4788)
    4-(29,8,2300) 4-(28,8,1932) 4-(27,8,1610) 4-(26,8,1330)
    4-(28,7,368) 4-(27,7,322) 4-(26,7,280)
    4-(27,6,46) 4-(26,6,42)
    4-(26,5,4) (#396)
    

• family 2, lambda = 6 containing 26 designs:
  
  minpath=(0, 0, 0) minimal_t=5
  • 9-(31,10,6)
    

  • 8-(31,10,69) 8-(30,10,63)
    8-(30,9,6)
    

  • 7-(31,10,552) 7-(30,10,483) 7-(29,10,420) (#15826)
    7-(30,9,69) 7-(29,9,63)
    7-(29,8,6)
    

  • 6-(31,10,3450) (#12218) 6-(30,10,2898) (#12213) 6-(29,10,2415) (#15827) 6-(28,10,1995) (#15829)
    6-(30,9,552) (#12115) 6-(29,9,483) (#12112) 6-(28,9,420) (#15828)
    6-(29,8,69) (#11958) 6-(28,8,63) (#11954)
    6-(28,7,6) (#11930)
    

  • 5-(31,10,17940) (#12219) 5-(30,10,14490) (#12214) 5-(29,10,11592) (#12215) 5-(28,10,9177) (#15833) 5-(27,10,7182) (#15836)
    5-(30,9,3450) (#11938) 5-(29,9,2898) (#8032) 5-(28,9,2415) (#8031) 5-(27,9,1995) (#7632)
    5-(29,8,552) (#11937) 5-(28,8,483) (#7851) 5-(27,8,420) (#11955)
    5-(28,7,69) (#11931) 5-(27,7,63) (#11933)
    5-(27,6,6) (#11932)
    

• family 3, lambda = 8 containing 10 designs:
  
  minpath=(0, 1, 0) minimal_t=5
  • 8-(30,9,8)
    

  • 7-(30,9,92) 7-(29,9,84)
    7-(29,8,8)
    

  • 6-(30,9,736) 6-(29,9,644) 6-(28,9,560)
    6-(29,8,92) 6-(28,8,84) (#11960)
    6-(28,7,8)
    

  • 5-(30,9,4600) (#11968) 5-(29,9,3864) (#11967) 5-(28,9,3220) (#11966) 5-(27,9,2660) (#7650)
    5-(29,8,736) (#7892) 5-(28,8,644) (#7891) 5-(27,8,560) (#11962)
    5-(28,7,92) (#7767) 5-(27,7,84) (#11961)
    5-(27,6,8)
    

• family 4, lambda = 10 containing 8 designs:
  
  minpath=(0, 1, 0) minimal_t=4
  • 8-(30,9,10)
    

  • 7-(30,9,115) 7-(29,9,105)
    7-(29,8,10)
    

  • 6-(30,9,920) 6-(29,9,805) 6-(28,9,700)
    6-(29,8,115) 6-(28,8,105) (#11939)
    6-(28,7,10)
    

  • 5-(30,9,5750) 5-(29,9,4830) (#8113) 5-(28,9,4025) (#8112) 5-(27,9,3325) (#7667)
    5-(29,8,920) 5-(28,8,805) (#7927) 5-(27,8,700) (#11941)
    5-(28,7,115) 5-(27,7,105) (#11940)
    5-(27,6,10)
    

  • 4-(30,9,29900) 4-(29,9,24150) 4-(28,9,19320) 4-(27,9,15295) 4-(26,9,11970)
    4-(29,8,5750) 4-(28,8,4830) 4-(27,8,4025) 4-(26,8,3325)
    4-(28,7,920) 4-(27,7,805) 4-(26,7,700)
    4-(27,6,115) 4-(26,6,105)
    4-(26,5,10) (#394)
    

---

created: Fri Oct 23 11:20:57 CEST 2009