Information on Result #1821590
OA(236, 4109, S2, 7), using construction X4 applied to K(12) ⊂ DG(12,5) 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
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 | OA(236, 4109, S2, 6) | [i] | Strength Reduction | |
| 2 | OA(237, 4110, S2, 7) | [i] | Code Embedding in Larger Space | |
| 3 | OA(238, 4111, S2, 7) | [i] | ||
| 4 | OA(235, 4108, S2, 6) | [i] | Truncation | |
| 5 | OA(239, 4113, S2, 7) | [i] | (u, u+v)-Construction | |