Information on Result #1826369
OOA(237, 2055, S2, 2, 7), using OOA 2-folding based on OA(237, 4110, S2, 7), using
- 1 times code embedding in larger space [i] based on OA(236, 4109, S2, 7), using
- construction X4 applied to K(12) ⊂ DG(12,5) [i] based on
- OA(235, 4096, S2, 7), using Delsarte–Goethals OA DG(12,5) [i]
- OA(224, 4096, S2, 5), using Kerdock OA K(12) [i]
- linear OA(212, 13, F2, 11) (dual of [13, 1, 12]-code), using
- strength reduction [i] based on linear OA(212, 13, F2, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,2)), using
- dual of repetition code with length 13 [i]
- strength reduction [i] based on linear OA(212, 13, F2, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,2)), using
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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
- construction X4 applied to K(12) ⊂ DG(12,5) [i] based on
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(2198, 4196356, S2, 2, 14) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(2199, 4196356, S2, 2, 15) | [i] | ||