Information on Result #1826381
OOA(261, 524299, S2, 2, 7), using OOA 2-folding based on OA(261, 1048598, S2, 7), using
- 1 times code embedding in larger space [i] based on OA(260, 1048597, S2, 7), using
- construction X4 applied to K(20) ⊂ DG(20,9) [i] 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
- construction X4 applied to K(20) ⊂ DG(20,9) [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(2222, 4718600, S2, 2, 14) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(2223, 4718600, S2, 2, 15) | [i] | ||