Information on Result #1821606
OA(260, 1048597, S2, 7), using construction X4 applied to K(20) ⊂ DG(20,9) based on
- OA(259, 1048576, S2, 7), using Delsarte–Goethals OA DG(20,9) [i]
- OA(240, 1048576, S2, 5), using Kerdock OA K(20) [i]
- linear OA(220, 21, F2, 19) (dual of [21, 1, 20]-code), using
- strength reduction [i] based on linear OA(220, 21, F2, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,2)), using
- dual of repetition code with length 21 [i]
- strength reduction [i] based on linear OA(220, 21, F2, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,2)), using
- linear OA(21, 21, F2, 1) (dual of [21, 20, 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(260, 1048597, S2, 6) | [i] | Strength Reduction | |
| 2 | OA(261, 1048598, S2, 7) | [i] | Code Embedding in Larger Space | |
| 3 | OA(262, 1048599, S2, 7) | [i] | ||
| 4 | OA(259, 1048596, S2, 6) | [i] | Truncation | |
| 5 | OA(263, 1048601, S2, 7) | [i] | (u, u+v)-Construction | |