Information on Result #1821602
OA(254, 262163, S2, 7), using construction X4 applied to K(18) ⊂ DG(18,8) based on
- OA(253, 262144, S2, 7), using Delsarte–Goethals OA DG(18,8) [i]
- OA(236, 262144, S2, 5), using Kerdock OA K(18) [i]
- linear OA(218, 19, F2, 17) (dual of [19, 1, 18]-code), using
- strength reduction [i] based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- dual of repetition code with length 19 [i]
- strength reduction [i] based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- linear OA(21, 19, F2, 1) (dual of [19, 18, 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(254, 262163, S2, 6) | [i] | Strength Reduction | |
| 2 | OA(255, 262164, S2, 7) | [i] | Code Embedding in Larger Space | |
| 3 | OA(256, 262165, S2, 7) | [i] | ||
| 4 | OA(253, 262162, S2, 6) | [i] | Truncation | |
| 5 | OA(257, 262167, S2, 7) | [i] | (u, u+v)-Construction | |