OA.81.10.3.3


OA(81,10,3,3)
λ = 3, 56 / 2458
3 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: 26 / 1454
4 ≤ d(C) ≤ 6
ρ(C) ≤ 5
↙    ↘
OA(27,9,3,2)
λ = 3, 16 / 488
3 ≤ d(C) ≤ 6
ρ(C) ≤ 5
OA(54,9,3,2)
λ = 6, 1806 / 11663
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
After reduction: 11 / 416
4 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: /
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
  ↙    ↘   
   ↙    ↘  
OA(9,8,3,1)
λ = 3, 141 / 495
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
OA(18,8,3,1)
λ = 6, 6959 / 14721
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
OA(36,8,3,1)
λ = 12, 503812 / 767228
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5


OA(81,9,3,3)
λ = 3, 51 / 1068
2 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 29 / 668
3 ≤ d(C) ≤ 5
ρ(C) ≤ 4
↙    ↘
OA(27,8,3,2)
λ = 3, 19 / 285
2 ≤ d(C) ≤ 5
ρ(C) ≤ 4
OA(54,8,3,2)
λ = 6, 1114 / 4986
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: 16 / 243
3 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: /
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
  ↙    ↘   
   ↙    ↘  
OA(9,7,3,1)
λ = 3, 86 / 268
1 ≤ d(C) ≤ 5
ρ(C) ≤ 4
OA(18,7,3,1)
λ = 6, 2742 / 5353
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(36,7,3,1)
λ = 12, 116680 / 168907
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4


OA(81,8,3,3)
λ = 3, 52 / 443
1 ≤ d(C) ≤ 4
ρ(C) ≤ 3
After reduction: 24 / 254
2 ≤ d(C) ≤ 4
ρ(C) ≤ 3
↙    ↘
OA(27,7,3,2)
λ = 3, 19 / 155
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(54,7,3,2)
λ = 6, 632 / 1924
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: 14 / 129
2 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: /
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
  ↙    ↘   
   ↙    ↘  
OA(9,6,3,1)
λ = 3, 51 / 139
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(18,6,3,1)
λ = 6, 1009 / 1804
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(36,6,3,1)
λ = 12, 24615 / 33800
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4


OA(81,7,3,3)
λ = 3, 32 / 162
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 18 / 104
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
↙    ↘
OA(27,6,3,2)
λ = 3, 15 / 75
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(54,6,3,2)
λ = 6, 266 / 616
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 13 / 66
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: /
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
  ↙    ↘   
   ↙    ↘  
OA(9,5,3,1)
λ = 3, 28 / 66
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(18,5,3,1)
λ = 6, 339 / 553
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(36,5,3,1)
λ = 12, 4651 / 6043
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3


OA(81,6,3,3)
λ = 3, 19 / 56
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
After reduction: 14 / 41
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
↙    ↘
OA(27,5,3,2)
λ = 3, 13 / 37
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
OA(54,5,3,2)
λ = 6, 107 / 189
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 12 / 33
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
After reduction: /
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
  ↙    ↘   
   ↙    ↘  
OA(9,4,3,1)
λ = 3, 15 / 30
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
OA(18,4,3,1)
λ = 6, 104 / 153
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(36,4,3,1)
λ = 12, 775 / 950
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2


OA(81,5,3,3)
λ = 3, 10 / 18
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 6 / 11
1 ≤ d(C) ≤ 2
ρ(C) = 1
↙    ↘
OA(27,4,3,2)
λ = 3, 9 / 16
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(54,4,3,2)
λ = 6, 36 / 49
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 8 / 13
1 ≤ d(C) ≤ 2
ρ(C) = 1
After reduction: /
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
  ↙    ↘   
   ↙    ↘  
OA(9,3,3,1)
λ = 3, 7 / 12
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(18,3,3,1)
λ = 6, 27 / 37
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(36,3,3,1)
λ = 12, 108 / 127
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2


OA(81,4,3,3)
λ = 3, 3 / 4
d(C) = 1
ρ(C) = 1
↙    ↘
OA(27,3,3,2)
λ = 3, 3 / 4
d(C) = 1
ρ(C) = 1
OA(54,3,3,2)
λ = 6, 6 / 7
d(C) = 1
ρ(C) = 1
  ↙    ↘   
   ↙    ↘  
OA(9,2,3,1)
λ = 3, 3 / 4
d(C) = 1
ρ(C) = 1
OA(18,2,3,1)
λ = 6, 6 / 7
d(C) = 1
ρ(C) = 1
OA(36,2,3,1)
λ = 12, 12 / 13
d(C) = 1
ρ(C) = 1


OA(81,3,3,3)
λ = 3, 1 / 1
d(C) = 1
ρ(C) = 0
↙    ↘
OA(27,2,3,2)
λ = 3, 1 / 1
d(C) = 1
ρ(C) = 0
OA(54,2,3,2)
λ = 6, 1 / 1
d(C) = 1
ρ(C) = 0
  ↙     ↘   
   ↙     ↘  
OA(9,1,3,1)
λ = 3, 1 / 1
d(C) = 1
ρ(C) = 0
OA(18,1,3,1)
λ = 6, 1 / 1
d(C) = 1
ρ(C) = 0
OA(36,1,3,1)
λ = 12, 1 / 1
d(C) = 1
ρ(C) = 0