OA(32,16,2,3)

λ = 4, 1 / 588

d(C) = 8

ρ(C) ≤ 6

After reduction: 1 / 10

d(C) = 8

ρ(C) ≤ 6

↙    ↘

OA(16,15,2,2)

λ = 4, 1 / 505

d(C) = 8

ρ(C) ≤ 7

OA(16,15,2,2)

After reduction: 1 / 37

d(C) = 8

ρ(C) ≤ 7

After reduction: 1 / 37

  ↙    ↘   

   ↙    ↘  

OA(8,14,2,1)

λ = 4, 2983 / 8512

1 ≤ d(C) ≤ 8

ρ(C) ≤ 7

OA(8,14,2,1)

OA(8,14,2,1)

OA(32,15,2,3)

λ = 4, 1 / 435

d(C) = 7

ρ(C) ≤ 5

After reduction: 1 / 11

d(C) = 7

ρ(C) ≤ 5

↙    ↘

OA(16,14,2,2)

λ = 4, 1 / 406

d(C) = 7

ρ(C) ≤ 6

OA(16,14,2,2)

After reduction: 1 / 79

d(C) = 7

ρ(C) ≤ 6

After reduction: 1 / 79

  ↙    ↘   

   ↙    ↘  

OA(8,13,2,1)

λ = 4, 2117 / 5744

1 ≤ d(C) ≤ 7

ρ(C) ≤ 6

OA(8,13,2,1)

OA(8,13,2,1)

OA(32,14,2,3)

λ = 4, 2 / 338

5 ≤ d(C) ≤ 6

ρ(C) ≤ 5

After reduction: 1 / 16

d(C) = 6

ρ(C) ≤ 4

↙    ↘

OA(16,13,2,2)

λ = 4, 3 / 308

5 ≤ d(C) ≤ 6

ρ(C) ≤ 5

OA(16,13,2,2)

After reduction: 1 / 135

d(C) = 6

ρ(C) ≤ 5

After reduction: 1 / 135

  ↙    ↘   

   ↙    ↘  

OA(8,12,2,1)

λ = 4, 1475 / 3788

1 ≤ d(C) ≤ 6

ρ(C) ≤ 6

OA(8,12,2,1)

OA(8,12,2,1)

OA(32,13,2,3)

λ = 4, 2 / 256

4 ≤ d(C) ≤ 5

ρ(C) ≤ 4

After reduction: 1 / 24

d(C) = 5

ρ(C) ≤ 4

↙    ↘

OA(16,12,2,2)

λ = 4, 6 / 256

4 ≤ d(C) ≤ 6

ρ(C) ≤ 5

OA(16,12,2,2)

After reduction: 4 / 156

5 ≤ d(C) ≤ 6

ρ(C) ≤ 5

After reduction: 4 / 156

  ↙    ↘   

   ↙    ↘  

OA(8,11,2,1)

λ = 4, 1000 / 2430

1 ≤ d(C) ≤ 6

ρ(C) ≤ 5

OA(8,11,2,1)

OA(8,11,2,1)

OA(32,12,2,3)

λ = 4, 5 / 190

3 ≤ d(C) ≤ 5

ρ(C) ≤ 4

After reduction: 4 / 34

4 ≤ d(C) ≤ 5

ρ(C) ≤ 4

↙    ↘

OA(16,11,2,2)

λ = 4, 7 / 194

3 ≤ d(C) ≤ 5

ρ(C) ≤ 4

OA(16,11,2,2)

After reduction: 6 / 128

4 ≤ d(C) ≤ 5

ρ(C) ≤ 4

After reduction: 6 / 128

  ↙    ↘   

   ↙    ↘  

OA(8,10,2,1)

λ = 4, 663 / 1514

1 ≤ d(C) ≤ 5

ρ(C) ≤ 5

OA(8,10,2,1)

OA(8,10,2,1)

OA(32,11,2,3)

λ = 4, 10 / 141

3 ≤ d(C) ≤ 5

ρ(C) ≤ 3

After reduction: 2 / 17

3 ≤ d(C) ≤ 4

ρ(C) ≤ 3

↙    ↘

OA(16,10,2,2)

λ = 4, 9 / 140

3 ≤ d(C) ≤ 4

ρ(C) ≤ 4

OA(16,10,2,2)

After reduction: 8 / 101

3 ≤ d(C) ≤ 4

ρ(C) ≤ 4

After reduction: 8 / 101

  ↙    ↘   

   ↙    ↘  

OA(8,9,2,1)

λ = 4, 424 / 910

1 ≤ d(C) ≤ 5

ρ(C) ≤ 4

OA(8,9,2,1)

OA(8,9,2,1)

OA(32,10,2,3)

λ = 4, 15 / 104

2 ≤ d(C) ≤ 4

ρ(C) ≤ 3

After reduction: 6 / 27

2 ≤ d(C) ≤ 4

ρ(C) ≤ 3

↙    ↘

OA(16,9,2,2)

λ = 4, 12 / 110

2 ≤ d(C) ≤ 4

ρ(C) ≤ 3

OA(16,9,2,2)

After reduction: 9 / 77

2 ≤ d(C) ≤ 4

ρ(C) ≤ 3

After reduction: 9 / 77

  ↙    ↘   

   ↙    ↘  

OA(8,8,2,1)

λ = 4, 263 / 526

1 ≤ d(C) ≤ 4

ρ(C) ≤ 4

OA(8,8,2,1)

OA(8,8,2,1)

OA(32,9,2,3)

λ = 4, 14 / 70

1 ≤ d(C) ≤ 3

ρ(C) ≤ 3

After reduction: 5 / 18

1 ≤ d(C) ≤ 3

ρ(C) ≤ 2

↙    ↘

OA(16,8,2,2)

λ = 4, 13 / 77

1 ≤ d(C) ≤ 4

ρ(C) ≤ 3

OA(16,8,2,2)

After reduction: 10 / 59

1 ≤ d(C) ≤ 4

ρ(C) ≤ 3

After reduction: 10 / 59

  ↙    ↘   

   ↙    ↘  

OA(8,7,2,1)

λ = 4, 155 / 289

1 ≤ d(C) ≤ 4

ρ(C) ≤ 3

OA(8,7,2,1)

OA(8,7,2,1)

OA(32,8,2,3)

λ = 4, 15 / 47

1 ≤ d(C) ≤ 3

ρ(C) ≤ 2

After reduction: 7 / 18

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

↙    ↘

OA(16,7,2,2)

λ = 4, 13 / 50

1 ≤ d(C) ≤ 3

ρ(C) ≤ 3

OA(16,7,2,2)

After reduction: 10 / 40

1 ≤ d(C) ≤ 3

ρ(C) ≤ 3

After reduction: 10 / 40

  ↙    ↘   

   ↙    ↘  

OA(8,6,2,1)

λ = 4, 88 / 151

1 ≤ d(C) ≤ 3

ρ(C) ≤ 3

OA(8,6,2,1)

OA(8,6,2,1)

OA(32,7,2,3)

λ = 4, 11 / 27

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

After reduction: 4 / 10

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

↙    ↘

OA(16,6,2,2)

λ = 4, 12 / 33

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

OA(16,6,2,2)

After reduction: 9 / 29

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

After reduction: 9 / 29

  ↙    ↘   

   ↙    ↘  

OA(8,5,2,1)

λ = 4, 46 / 73

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

OA(8,5,2,1)

OA(8,5,2,1)

OA(32,6,2,3)

λ = 4, 11 / 18

1 ≤ d(C) ≤ 2

ρ(C) = 1

After reduction: 8 / 15

1 ≤ d(C) ≤ 2

ρ(C) = 1

↙    ↘

OA(16,5,2,2)

λ = 4, 9 / 18

1 ≤ d(C) ≤ 2

ρ(C) = 1

OA(16,5,2,2)

After reduction: 9 / 18

1 ≤ d(C) ≤ 2

ρ(C) = 1

After reduction: 9 / 18

  ↙    ↘   

   ↙    ↘  

OA(8,4,2,1)

λ = 4, 23 / 33

1 ≤ d(C) ≤ 2

ρ(C) ≤ 2

OA(8,4,2,1)

OA(8,4,2,1)

OA(32,5,2,3)

λ = 4, 6 / 9

d(C) = 1

ρ(C) = 1

After reduction: 6 / 9

d(C) = 1

ρ(C) = 1

↙    ↘

OA(16,4,2,2)

λ = 4, 6 / 9

d(C) = 1

ρ(C) = 1

OA(16,4,2,2)

After reduction: 6 / 9

d(C) = 1

ρ(C) = 1

After reduction: 6 / 9

  ↙    ↘   

   ↙    ↘  

OA(8,3,2,1)

λ = 4, 10 / 13

d(C) = 1

ρ(C) = 1

OA(8,3,2,1)

OA(8,3,2,1)

OA(32,4,2,3)

λ = 4, 4 / 5

d(C) = 1

ρ(C) = 1

↙    ↘

OA(16,3,2,2)

λ = 4, 4 / 5

d(C) = 1

ρ(C) = 1

OA(16,3,2,2)

  ↙    ↘   

   ↙    ↘  

OA(8,2,2,1)

λ = 4, 4 / 5

d(C) = 1

ρ(C) = 1

OA(8,2,2,1)

OA(8,2,2,1)

OA(32,3,2,3)

λ = 4, 1 / 1

d(C) = 1

ρ(C) = 0

↙    ↘

OA(16,2,2,2)

λ = 4, 1 / 1

d(C) = 1

ρ(C) = 0

OA(16,2,2,2)

  ↙     ↘   

   ↙     ↘  

OA(8,1,2,1)

λ = 4, 1 / 1

d(C) = 1

ρ(C) = 0

OA(8,1,2,1)

OA(8,1,2,1)