OA.18.7.3.2


OA(18,7,3,2)
λ = 2, 2 / 43
3 ≤ d(C) ≤ 4
ρ(C) ≤ 4
After reduction: 1 / 33
d(C) = 4
ρ(C) ≤ 4
↙    ↘
OA(6,6,3,1)
λ = 2, 10 / 39
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4
OA(12,6,3,1)
λ = 4, 170 / 382
1 ≤ d(C) ≤ 4
ρ(C) ≤ 4


Constructions: Addelman-Kempthorne construction, http://www.pietereendebak.nl

OA(18,6,3,2)
λ = 2, 3 / 27
3 ≤ d(C) ≤ 4
ρ(C) ≤ 3
After reduction: 3 / 21
3 ≤ d(C) ≤ 4
ρ(C) ≤ 3
↙    ↘
OA(6,5,3,1)
λ = 2, 7 / 23
1 ≤ d(C) ≤ 4
ρ(C) ≤ 3
OA(12,5,3,1)
λ = 4, 77 / 154
1 ≤ d(C) ≤ 3
ρ(C) ≤ 3


OA(18,5,3,2)
λ = 2, 3 / 13
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
After reduction: 3 / 11
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
↙    ↘
OA(6,4,3,1)
λ = 2, 5 / 13
1 ≤ d(C) ≤ 3
ρ(C) ≤ 2
OA(12,4,3,1)
λ = 4, 33 / 57
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2


OA(18,4,3,2)
λ = 2, 4 / 9
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
After reduction: 3 / 8
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
↙    ↘
OA(6,3,3,1)
λ = 2, 3 / 7
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2
OA(12,3,3,1)
λ = 4, 12 / 19
1 ≤ d(C) ≤ 2
ρ(C) ≤ 2


OA(18,3,3,2)
λ = 2, 2 / 3
d(C) = 1
ρ(C) = 1
↙    ↘
OA(6,2,3,1)
λ = 2, 2 / 3
d(C) = 1
ρ(C) = 1
OA(12,2,3,1)
λ = 4, 4 / 5
d(C) = 1
ρ(C) = 1


OA(18,2,3,2)
λ = 2, 1 / 1
d(C) = 1
ρ(C) = 0
↙    ↘
OA(6,1,3,1)
λ = 2, 1 / 1
d(C) = 1
ρ(C) = 0
OA(12,1,3,1)
λ = 4, 1 / 1
d(C) = 1
ρ(C) = 0