OA.40.20.2.3


OA(40,20,2,3)
λ = 5, 1 / 7563
d(C) = 10
ρ(C) ≤ 7
After reduction: 1 / 15
d(C) = 10
ρ(C) ≤ 7
↙    ↘
OA(20,19,2,2)
λ = 5, 1 / 4490
d(C) = 10
ρ(C) ≤ 9
OA(20,19,2,2)
After reduction: 1 / 52
d(C) = 10
ρ(C) ≤ 9
After reduction: 1 / 52
  ↙    ↘   
   ↙    ↘  
OA(10,18,2,1)
λ = 5, 85380 / 246462
1 ≤ d(C) ≤ 10
ρ(C) ≤ 9
OA(10,18,2,1)
OA(10,18,2,1)


OA(40,19,2,3)
λ = 5, 1 / 5607
d(C) = 9
ρ(C) ≤ 7
After reduction: 1 / 29
d(C) = 9
ρ(C) ≤ 6
↙    ↘
OA(20,18,2,2)
λ = 5, 1 / 3547
d(C) = 9
ρ(C) ≤ 8
OA(20,18,2,2)
After reduction: 1 / 213
d(C) = 9
ρ(C) ≤ 8
After reduction: 1 / 213
  ↙    ↘   
   ↙    ↘  
OA(10,17,2,1)
λ = 5, 59748 / 165829
1 ≤ d(C) ≤ 9
ρ(C) ≤ 8
OA(10,17,2,1)
OA(10,17,2,1)


OA(40,18,2,3)
λ = 5, 4 / 4313
6 ≤ d(C) ≤ 8
ρ(C) ≤ 6
After reduction: 1 / 58
d(C) = 8
ρ(C) ≤ 6
↙    ↘
OA(20,17,2,2)
λ = 5, 4 / 2862
7 ≤ d(C) ≤ 8
ρ(C) ≤ 7
OA(20,17,2,2)
After reduction: 1 / 772
d(C) = 8
ρ(C) ≤ 7
After reduction: 1 / 772
  ↙    ↘   
   ↙    ↘  
OA(10,16,2,1)
λ = 5, 41123 / 109588
1 ≤ d(C) ≤ 8
ρ(C) ≤ 8
OA(10,16,2,1)
OA(10,16,2,1)


OA(40,17,2,3)
λ = 5, 4 / 3236
6 ≤ d(C) ≤ 7
ρ(C) ≤ 6
After reduction: 1 / 102
d(C) = 7
ρ(C) ≤ 6
↙    ↘
OA(20,16,2,2)
λ = 5, 9 / 2284
6 ≤ d(C) ≤ 8
ρ(C) ≤ 7
OA(20,16,2,2)
After reduction: 3 / 1546
d(C) = 7
ρ(C) ≤ 7
After reduction: 3 / 1546
  ↙    ↘   
   ↙    ↘  
OA(10,15,2,1)
λ = 5, 27776 / 70925
1 ≤ d(C) ≤ 8
ρ(C) ≤ 7
OA(10,15,2,1)
OA(10,15,2,1)


OA(40,16,2,3)
λ = 5, 10 / 2417
4 ≤ d(C) ≤ 7
ρ(C) ≤ 6
After reduction: 4 / 137
6 ≤ d(C) ≤ 7
ρ(C) ≤ 5
↙    ↘
OA(20,15,2,2)
λ = 5, 14 / 1734
5 ≤ d(C) ≤ 7
ρ(C) ≤ 6
OA(20,15,2,2)
After reduction: 9 / 1264
6 ≤ d(C) ≤ 7
ρ(C) ≤ 6
After reduction: 9 / 1264
  ↙    ↘   
   ↙    ↘  
OA(10,14,2,1)
λ = 5, 18384 / 44917
1 ≤ d(C) ≤ 7
ρ(C) ≤ 7
OA(10,14,2,1)
OA(10,14,2,1)


OA(40,15,2,3)
λ = 5, 13 / 1722
4 ≤ d(C) ≤ 7
ρ(C) ≤ 5
After reduction: 3 / 80
5 ≤ d(C) ≤ 6
ρ(C) ≤ 5
↙    ↘
OA(20,14,2,2)
λ = 5, 21 / 1347
4 ≤ d(C) ≤ 7
ρ(C) ≤ 6
OA(20,14,2,2)
After reduction: 13 / 962
5 ≤ d(C) ≤ 6
ρ(C) ≤ 6
After reduction: 13 / 962
  ↙    ↘   
   ↙    ↘  
OA(10,13,2,1)
λ = 5, 11888 / 27718
1 ≤ d(C) ≤ 7
ρ(C) ≤ 6
OA(10,13,2,1)
OA(10,13,2,1)


OA(40,14,2,3)
λ = 5, 26 / 1276
3 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: 6 / 91
4 ≤ d(C) ≤ 5
ρ(C) ≤ 4
↙    ↘
OA(20,13,2,2)
λ = 5, 28 / 1036
3 ≤ d(C) ≤ 6
ρ(C) ≤ 5
OA(20,13,2,2)
After reduction: 19 / 758
4 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: 19 / 758
  ↙    ↘   
   ↙    ↘  
OA(10,12,2,1)
λ = 5, 7500 / 16660
1 ≤ d(C) ≤ 6
ρ(C) ≤ 6
OA(10,12,2,1)
OA(10,12,2,1)


OA(40,13,2,3)
λ = 5, 39 / 895
3 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 5 / 55
3 ≤ d(C) ≤ 5
ρ(C) ≤ 4
↙    ↘
OA(20,12,2,2)
λ = 5, 33 / 752
3 ≤ d(C) ≤ 5
ρ(C) ≤ 5
OA(20,12,2,2)
After reduction: 22 / 563
3 ≤ d(C) ≤ 5
ρ(C) ≤ 5
After reduction: 22 / 563
  ↙    ↘   
   ↙    ↘  
OA(10,11,2,1)
λ = 5, 4591 / 9686
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
OA(10,11,2,1)
OA(10,11,2,1)


OA(40,12,2,3)
λ = 5, 53 / 644
2 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 10 / 79
2 ≤ d(C) ≤ 4
ρ(C) ≤ 4
↙    ↘
OA(20,11,2,2)
λ = 5, 37 / 546
2 ≤ d(C) ≤ 5
ρ(C) ≤ 4
OA(20,11,2,2)
After reduction: 28 / 466
2 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 28 / 466
  ↙    ↘   
   ↙    ↘  
OA(10,10,2,1)
λ = 5, 2724 / 5448
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
OA(10,10,2,1)
OA(10,10,2,1)


OA(40,11,2,3)
λ = 5, 56 / 415
1 ≤ d(C) ≤ 4
ρ(C) ≤ 3
After reduction: 6 / 37
1 ≤ d(C) ≤ 4
ρ(C) ≤ 3
↙    ↘
OA(20,10,2,2)
λ = 5, 42 / 403
1 ≤ d(C) ≤ 5
ρ(C) ≤ 4
OA(20,10,2,2)
After reduction: 30 / 318
1 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 30 / 318
  ↙    ↘   
   ↙    ↘  
OA(10,9,2,1)
λ = 5, 1555 / 2934
1 ≤ d(C) ≤ 5
ρ(C) ≤ 4
OA(10,9,2,1)
OA(10,9,2,1)


OA(40,10,2,3)
λ = 5, 62 / 286
2 ≤ d(C) ≤ 4
ρ(C) ≤ 3
After reduction: 12 / 50
2 ≤ d(C) ≤ 4
ρ(C) ≤ 3
↙    ↘
OA(20,9,2,2)
λ = 5, 42 / 269
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(20,9,2,2)
After reduction: 34 / 196
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: 34 / 196
  ↙    ↘   
   ↙    ↘  
OA(10,8,2,1)
λ = 5, 851 / 1514
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(10,8,2,1)
OA(10,8,2,1)


OA(40,9,2,3)
λ = 5, 52 / 177
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 8 / 23
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
↙    ↘
OA(20,8,2,2)
λ = 5, 37 / 167
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(20,8,2,2)
After reduction: 33 / 153
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 33 / 153
  ↙    ↘   
   ↙    ↘  
OA(10,7,2,1)
λ = 5, 441 / 734
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(10,7,2,1)
OA(10,7,2,1)


OA(40,8,2,3)
λ = 5, 43 / 106
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
After reduction: 15 / 34
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
↙    ↘
OA(20,7,2,2)
λ = 5, 33 / 108
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
OA(20,7,2,2)
After reduction: 30 / 98
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
After reduction: 30 / 98
  ↙    ↘   
   ↙    ↘  
OA(10,6,2,1)
λ = 5, 217 / 338
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(10,6,2,1)
OA(10,6,2,1)


OA(40,7,2,3)
λ = 5, 28 / 54
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 12 / 24
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
↙    ↘
OA(20,6,2,2)
λ = 5, 26 / 60
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(20,6,2,2)
After reduction: 22 / 50
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 22 / 50
  ↙    ↘   
   ↙    ↘  
OA(10,5,2,1)
λ = 5, 98 / 141
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(10,5,2,1)
OA(10,5,2,1)


OA(40,6,2,3)
λ = 5, 19 / 28
1 ≤ d(C) ≤ 2
ρ(C) = 1
After reduction: 10 / 14
d(C) = 1
ρ(C) = 1
↙    ↘
OA(20,5,2,2)
λ = 5, 17 / 28
1 ≤ d(C) ≤ 2
ρ(C) = 1
OA(20,5,2,2)
After reduction: 14 / 24
1 ≤ d(C) ≤ 2
ρ(C) = 1
After reduction: 14 / 24
  ↙    ↘   
   ↙    ↘  
OA(10,4,2,1)
λ = 5, 41 / 55
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(10,4,2,1)
OA(10,4,2,1)


OA(40,5,2,3)
λ = 5, 9 / 12
d(C) = 1
ρ(C) = 1
After reduction: 8 / 10
d(C) = 1
ρ(C) = 1
↙    ↘
OA(20,4,2,2)
λ = 5, 9 / 13
d(C) = 1
ρ(C) = 1
OA(20,4,2,2)
After reduction: 9 / 12
d(C) = 1
ρ(C) = 1
After reduction: 9 / 12
  ↙    ↘   
   ↙    ↘  
OA(10,3,2,1)
λ = 5, 15 / 18
d(C) = 1
ρ(C) = 1
OA(10,3,2,1)
OA(10,3,2,1)


OA(40,4,2,3)
λ = 5, 5 / 6
d(C) = 1
ρ(C) = 1
↙    ↘
OA(20,3,2,2)
λ = 5, 5 / 6
d(C) = 1
ρ(C) = 1
OA(20,3,2,2)
  ↙    ↘   
   ↙    ↘  
OA(10,2,2,1)
λ = 5, 5 / 6
d(C) = 1
ρ(C) = 1
OA(10,2,2,1)
OA(10,2,2,1)


OA(40,3,2,3)
λ = 5, 1 / 1
d(C) = 1
ρ(C) = 0
↙    ↘
OA(20,2,2,2)
λ = 5, 1 / 1
d(C) = 1
ρ(C) = 0
OA(20,2,2,2)
  ↙     ↘   
   ↙     ↘  
OA(10,1,2,1)
λ = 5, 1 / 1
d(C) = 1
ρ(C) = 0
OA(10,1,2,1)
OA(10,1,2,1)