Information on Result #1826377
OOA(254, 131081, S2, 2, 7), using OOA 2-folding based on OA(254, 262162, S2, 7), using
- construction X applied to K(18) ⊂ DG(18,8) [i] based on
- OA(253, 262144, S2, 7), using Delsarte–Goethals OA DG(18,8) [i]
- OA(236, 262144, S2, 5), using Kerdock OA K(18) [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(254, 131081, S2, 2, 6) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(2215, 4325382, S2, 2, 14) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | OOA(2216, 4325382, S2, 2, 15) | [i] | ||