Information on Result #1821588
OA(221, 1035, S2, 5), using construction X4 applied to RM(1,10) ⊂ K(10) based on
- OA(220, 1024, S2, 5), using Kerdock OA K(10) [i]
- linear OA(211, 1024, F2, 3) (dual of [1024, 1013, 4]-code or 1024-cap in PG(10,2)), using Reed–Muller code RM(1,10) [i]
- linear OA(210, 11, F2, 9) (dual of [11, 1, 10]-code), using
- strength reduction [i] based on linear OA(210, 11, F2, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using
- dual of repetition code with length 11 [i]
- strength reduction [i] based on linear OA(210, 11, F2, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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(220, 1034, S2, 4) | [i] | Truncation | |