Information on Result #1826360
OOA(265, 2097163, S2, 2, 6), using OOA 2-folding based on OA(265, 4194326, S2, 6), using
- 1 times truncation [i] based on OA(266, 4194327, S2, 7), using
- construction X4 applied to K(22) ⊂ DG(22,10) [i] based on
- OA(265, 4194304, S2, 7), using Delsarte–Goethals OA DG(22,10) [i]
- OA(244, 4194304, S2, 5), using Kerdock OA K(22) [i]
- linear OA(222, 23, F2, 21) (dual of [23, 1, 22]-code), using
- strength reduction [i] based on linear OA(222, 23, F2, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,2)), using
- dual of repetition code with length 23 [i]
- strength reduction [i] based on linear OA(222, 23, F2, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,2)), using
- linear OA(21, 23, F2, 1) (dual of [23, 22, 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(22) ⊂ DG(22,10) [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(2203, 6291464, S2, 2, 12) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(2204, 6291464, S2, 2, 13) | [i] | ||