OA.64.32.2.3


OA(64,32,2,3)
λ = 8, 1 /
d(C) = 16
ρ(C) ≤
After reduction: 1 /
d(C) = 16
ρ(C) ≤
↙    ↘
OA(32,31,2,2)
λ = 8, 1 /
d(C) = 16
ρ(C) ≤
OA(32,31,2,2)
After reduction: 1 /
d(C) = 16
ρ(C) ≤
After reduction: 1 /
  ↙    ↘   
   ↙    ↘  
OA(16,30,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,30,2,1)
OA(16,30,2,1)


OA(64,31,2,3)
λ = 8, 1 /
d(C) = 15
ρ(C) ≤
After reduction: 1 /
d(C) = 15
ρ(C) ≤
↙    ↘
OA(32,30,2,2)
λ = 8, 1 /
d(C) = 15
ρ(C) ≤
OA(32,30,2,2)
After reduction: 1 /
d(C) = 15
ρ(C) ≤
After reduction: 1 /
  ↙    ↘   
   ↙    ↘  
OA(16,29,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,29,2,1)
OA(16,29,2,1)


OA(64,30,2,3)
λ = 8, 8 /
12 ≤ d(C) ≤ 14
ρ(C) ≤
After reduction: /
12 ≤ d(C) ≤ 14
ρ(C) ≤
↙    ↘
OA(32,29,2,2)
λ = 8, 12 /
12 ≤ d(C) ≤ 14
ρ(C) ≤
OA(32,29,2,2)
After reduction: /
12 ≤ d(C) ≤ 14
ρ(C) ≤
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,28,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,28,2,1)
OA(16,28,2,1)


OA(64,29,2,3)
λ = 8, 8 /
11 ≤ d(C) ≤ 13
ρ(C) ≤
After reduction: /
11 ≤ d(C) ≤ 13
ρ(C) ≤
↙    ↘
OA(32,28,2,2)
λ = 8, 28 /
11 ≤ d(C) ≤ 14
ρ(C) ≤
OA(32,28,2,2)
After reduction: /
11 ≤ d(C) ≤ 14
ρ(C) ≤
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,27,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,27,2,1)
OA(16,27,2,1)


OA(64,28,2,3)
λ = 8, 41 /
9 ≤ d(C) ≤ 13
ρ(C) ≤
After reduction: /
9 ≤ d(C) ≤ 13
ρ(C) ≤
↙    ↘
OA(32,27,2,2)
λ = 8, 72 /
9 ≤ d(C) ≤ 13
ρ(C) ≤
OA(32,27,2,2)
After reduction: /
9 ≤ d(C) ≤ 13
ρ(C) ≤
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,26,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,26,2,1)
OA(16,26,2,1)


OA(64,27,2,3)
λ = 8, 51 /
9 ≤ d(C) ≤ 12
ρ(C) ≤
After reduction: /
9 ≤ d(C) ≤ 12
ρ(C) ≤
↙    ↘
OA(32,26,2,2)
λ = 8, 129 /
9 ≤ d(C) ≤ 13
ρ(C) ≤
OA(32,26,2,2)
After reduction: /
9 ≤ d(C) ≤ 13
ρ(C) ≤
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,25,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,25,2,1)
OA(16,25,2,1)


OA(64,26,2,3)
λ = 8, 143 /
7 ≤ d(C) ≤ 12
ρ(C) ≤
After reduction: /
7 ≤ d(C) ≤ 12
ρ(C) ≤
↙    ↘
OA(32,25,2,2)
λ = 8, 222 /
7 ≤ d(C) ≤ 12
ρ(C) ≤
OA(32,25,2,2)
After reduction: /
7 ≤ d(C) ≤ 12
ρ(C) ≤
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,24,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,24,2,1)
OA(16,24,2,1)


OA(64,25,2,3)
λ = 8, 229 /
7 ≤ d(C) ≤ 12
ρ(C) ≤
After reduction: /
7 ≤ d(C) ≤ 12
ρ(C) ≤
↙    ↘
OA(32,24,2,2)
λ = 8, 342 /
7 ≤ d(C) ≤ 12
ρ(C) ≤
OA(32,24,2,2)
After reduction: /
7 ≤ d(C) ≤ 12
ρ(C) ≤
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,23,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,23,2,1)
OA(16,23,2,1)


OA(64,24,2,3)
λ = 8, 470 /
6 ≤ d(C) ≤ 11
ρ(C) ≤
After reduction: /
6 ≤ d(C) ≤ 11
ρ(C) ≤
↙    ↘
OA(32,23,2,2)
λ = 8, 486 /
6 ≤ d(C) ≤ 11
ρ(C) ≤ 11
OA(32,23,2,2)
After reduction: /
6 ≤ d(C) ≤ 11
ρ(C) ≤ 11
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,22,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,22,2,1)
OA(16,22,2,1)


OA(64,23,2,3)
λ = 8, 779 /
5 ≤ d(C) ≤ 11
ρ(C) ≤
After reduction: /
5 ≤ d(C) ≤ 11
ρ(C) ≤
↙    ↘
OA(32,22,2,2)
λ = 8, 665 / 316195
5 ≤ d(C) ≤ 11
ρ(C) ≤ 10
OA(32,22,2,2)
After reduction: /
5 ≤ d(C) ≤ 11
ρ(C) ≤ 10
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,21,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,21,2,1)
OA(16,21,2,1)


OA(64,22,2,3)
λ = 8, 1292 / 805348
4 ≤ d(C) ≤ 10
ρ(C) ≤ 8
After reduction: /
4 ≤ d(C) ≤ 10
ρ(C) ≤ 8
↙    ↘
OA(32,21,2,2)
λ = 8, 842 / 236469
4 ≤ d(C) ≤ 10
ρ(C) ≤ 9
OA(32,21,2,2)
After reduction: /
4 ≤ d(C) ≤ 10
ρ(C) ≤ 9
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,20,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,20,2,1)
OA(16,20,2,1)


OA(64,21,2,3)
λ = 8, 2007 /
4 ≤ d(C) ≤ 10
ρ(C) ≤
After reduction: /
4 ≤ d(C) ≤ 10
ρ(C) ≤
↙    ↘
OA(32,20,2,2)
λ = 8, 1020 / 181295
4 ≤ d(C) ≤ 9
ρ(C) ≤ 9
OA(32,20,2,2)
After reduction: /
4 ≤ d(C) ≤ 9
ρ(C) ≤ 9
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,19,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,19,2,1)
OA(16,19,2,1)


OA(64,20,2,3)
λ = 8, 2856 / 395007
3 ≤ d(C) ≤ 9
ρ(C) ≤ 7
After reduction: /
3 ≤ d(C) ≤ 9
ρ(C) ≤ 7
↙    ↘
OA(32,19,2,2)
λ = 8, 1185 / 135558
3 ≤ d(C) ≤ 9
ρ(C) ≤ 8
OA(32,19,2,2)
After reduction: /
3 ≤ d(C) ≤ 9
ρ(C) ≤ 8
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,18,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,18,2,1)
OA(16,18,2,1)


OA(64,19,2,3)
λ = 8, 3629 / 270043
3 ≤ d(C) ≤ 8
ρ(C) ≤ 7
After reduction: /
3 ≤ d(C) ≤ 8
ρ(C) ≤ 7
↙    ↘
OA(32,18,2,2)
λ = 8, 1329 / 99321
3 ≤ d(C) ≤ 8
ρ(C) ≤ 8
OA(32,18,2,2)
After reduction: /
3 ≤ d(C) ≤ 8
ρ(C) ≤ 8
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,17,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,17,2,1)
OA(16,17,2,1)


OA(64,18,2,3)
λ = 8, 4329 / 183494
2 ≤ d(C) ≤ 8
ρ(C) ≤ 6
After reduction: /
2 ≤ d(C) ≤ 8
ρ(C) ≤ 6
↙    ↘
OA(32,17,2,2)
λ = 8, 1429 / 72268
2 ≤ d(C) ≤ 8
ρ(C) ≤ 7
OA(32,17,2,2)
After reduction: /
2 ≤ d(C) ≤ 8
ρ(C) ≤ 7
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,16,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,16,2,1)
OA(16,16,2,1)


OA(64,17,2,3)
λ = 8, 4696 / 121695
1 ≤ d(C) ≤ 7
ρ(C) ≤ 6
After reduction: /
1 ≤ d(C) ≤ 7
ρ(C) ≤ 6
↙    ↘
OA(32,16,2,2)
λ = 8, 1490 / 51868
1 ≤ d(C) ≤ 8
ρ(C) ≤ 7
OA(32,16,2,2)
After reduction: /
1 ≤ d(C) ≤ 8
ρ(C) ≤ 7
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,15,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,15,2,1)
OA(16,15,2,1)


OA(64,16,2,3)
λ = 8, 4870 / 79804
1 ≤ d(C) ≤ 7
ρ(C) ≤ 6
After reduction: /
1 ≤ d(C) ≤ 7
ρ(C) ≤ 6
↙    ↘
OA(32,15,2,2)
λ = 8, 1490 / 36116
1 ≤ d(C) ≤ 7
ρ(C) ≤ 7
OA(32,15,2,2)
After reduction: /
1 ≤ d(C) ≤ 7
ρ(C) ≤ 7
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,14,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,14,2,1)
OA(16,14,2,1)


OA(64,15,2,3)
λ = 8, 4442 / 50567
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: /
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
↙    ↘
OA(32,14,2,2)
λ = 8, 1429 / 24803
1 ≤ d(C) ≤ 6
ρ(C) ≤ 6
OA(32,14,2,2)
After reduction: /
1 ≤ d(C) ≤ 6
ρ(C) ≤ 6
After reduction: /
  ↙    ↘   
   ↙    ↘  
OA(16,13,2,1)
λ = 8, /
1 ≤ d(C) ≤
ρ(C) ≤
OA(16,13,2,1)
OA(16,13,2,1)


OA(64,14,2,3)
λ = 8, 3971 / 31572
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: 2124 / 22798
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
↙    ↘
OA(32,13,2,2)
λ = 4, 1329 / 16702
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
OA(32,13,2,2)
After reduction: 1268 / 16307
1 ≤ d(C) ≤ 6
ρ(C) ≤ 5
After reduction: 1268 / 16307
  ↙    ↘   
   ↙    ↘  
OA(16,12,2,1)
λ = 8, 319546 / 554003
1 ≤ d(C) ≤ 6
ρ(C) ≤ 6
OA(16,12,2,1)
OA(16,12,2,1)


OA(64,13,2,3)
λ = 8, 3110 / 18609
1 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 1896 / 13485
1 ≤ d(C) ≤ 5
ρ(C) ≤ 4
↙    ↘
OA(32,12,2,2)
λ = 8, 1179 / 10738
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
OA(32,12,2,2)
After reduction: 1134 / 10516
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
After reduction: 1134 / 10516
  ↙    ↘   
   ↙    ↘  
OA(16,11,2,1)
λ = 8, 151217 / 252125
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
OA(16,11,2,1)
OA(16,11,2,1)


OA(64,12,2,3)
λ = 8, 2467 / 10887
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: 1572 / 7932
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
↙    ↘
OA(32,11,2,2)
λ = 8, 1005 / 6721
3 ≤ d(C) ≤ 5
ρ(C) ≤ 4
OA(32,11,2,2)
After reduction: 968 / 6559
4 ≤ d(C) ≤ 5
ρ(C) ≤ 4
After reduction: 968 / 6559
  ↙    ↘   
   ↙    ↘  
OA(16,10,2,1)
λ = 8, 68464 / 109586
1 ≤ d(C) ≤ 5
ρ(C) ≤ 5
OA(16,10,2,1)
OA(16,10,2,1)


OA(64,11,2,3)
λ = 8, 1670 / 5823
1 ≤ d(C) ≤ 4
ρ(C) ≤ 3
After reduction: 1142 / 4373
1 ≤ d(C) ≤ 4
ρ(C) ≤ 3
↙    ↘
OA(32,10,2,2)
λ = 8, 808 / 4054
3 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(32,10,2,2)
After reduction: 769 / 3947
3 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: 769 / 3947
  ↙    ↘   
   ↙    ↘  
OA(16,9,2,1)
λ = 8, 29463 / 45207
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(16,9,2,1)
OA(16,9,2,1)


OA(64,10,2,3)
λ = 8, 1151 / 3080
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 805 / 2289
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
↙    ↘
OA(32,9,2,2)
λ = 8, 613 / 2282
2 ≤ d(C) ≤ 4
ρ(C) ≤ 3
OA(32,9,2,2)
After reduction: 579 / 2197
2 ≤ d(C) ≤ 4
ρ(C) ≤ 3
After reduction: 579 / 2197
  ↙    ↘   
   ↙    ↘  
OA(16,8,2,1)
λ = 8, 11975 / 17575
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(16,8,2,1)
OA(16,8,2,1)


OA(64,9,2,3)
λ = 8, 647 / 1426
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 480 / 1082
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
↙    ↘
OA(32,8,2,2)
λ = 8, 415 / 1187
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(32,8,2,2)
After reduction: 399 / 1157
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 399 / 1157
  ↙    ↘   
   ↙    ↘  
OA(16,7,2,1)
λ = 8, 4548 / 6375
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(16,7,2,1)
OA(16,7,2,1)


OA(64,8,2,3)
λ = 8, 369 / 652
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 293 / 528
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
↙    ↘
OA(32,7,2,2)
λ = 8, 267 / 593
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(32,7,2,2)
After reduction: 255 / 571
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
After reduction: 255 / 571
  ↙    ↘   
   ↙    ↘  
OA(16,6,2,1)
λ = 8, 1601 / 2137
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3
OA(16,6,2,1)
OA(16,6,2,1)


OA(64,7,2,3)
λ = 8, 162 / 249
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 133 / 205
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
↙    ↘
OA(32,6,2,2)
λ = 8, 142 / 250
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(32,6,2,2)
After reduction: 134 / 240
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 134 / 240
  ↙    ↘   
   ↙    ↘  
OA(16,5,2,1)
λ = 8, 511 / 649
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(16,5,2,1)
OA(16,5,2,1)


OA(64,6,2,3)
λ = 8, 73 / 93
d(C) = 1
ρ(C) = 1
After reduction: 59 / 78
d(C) = 1
ρ(C) = 1
↙    ↘
OA(32,5,2,2)
λ = 8, 66 / 93
1 ≤ d(C) ≤ 2
ρ(C) = 1
OA(32,5,2,2)
After reduction: 62 / 89
1 ≤ d(C) ≤ 2
ρ(C) = 1
After reduction: 62 / 89
  ↙    ↘   
   ↙    ↘  
OA(16,4,2,1)
λ = 8, 147 / 177
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(16,4,2,1)
OA(16,4,2,1)


OA(64,5,2,3)
λ = 8, 23 / 28
d(C) = 1
ρ(C) = 1
After reduction: 23 / 28
d(C) = 1
ρ(C) = 1
↙    ↘
OA(32,4,2,2)
λ = 8, 23 / 29
d(C) = 1
ρ(C) = 1
OA(32,4,2,2)
After reduction: 23 / 29
d(C) = 1
ρ(C) = 1
After reduction: 23 / 29
  ↙    ↘   
   ↙    ↘  
OA(16,3,2,1)
λ = 8, 36 / 41
d(C) = 1
ρ(C) = 1
OA(16,3,2,1)
OA(16,3,2,1)


OA(64,4,2,3)
λ = 8, 8 / 9
d(C) = 1
ρ(C) = 1
↙    ↘
OA(32,3,2,2)
λ = 8, 8 / 9
d(C) = 1
ρ(C) = 1
OA(32,3,2,2)
  ↙    ↘   
   ↙    ↘  
OA(16,2,2,1)
λ = 8, 8 / 9
d(C) = 1
ρ(C) = 1
OA(16,2,2,1)
OA(16,2,2,1)


OA(64,3,2,3)
λ = 8, 1 / 1
d(C) = 1
ρ(C) = 0
↙    ↘
OA(32,2,2,2)
λ = 8, 1 / 1
d(C) = 1
ρ(C) = 0
OA(32,2,2,2)
  ↙     ↘   
   ↙     ↘  
OA(16,1,2,1)
λ = 8, 1 / 1
d(C) = 1
ρ(C) = 0
OA(16,1,2,1)
OA(16,1,2,1)