Information on Result #1839163
OOA(229, 8199, S2, 5, 5), using OOA 2-folding and stacking with additional row based on OA(229, 16399, S2, 5), using
- construction X4 applied to RM(1,14) ⊂ K(14) [i] based on
- OA(228, 16384, S2, 5), using Kerdock OA K(14) [i]
- linear OA(215, 16384, F2, 3) (dual of [16384, 16369, 4]-code or 16384-cap in PG(14,2)), using Reed–Muller code RM(1,14) [i]
- linear OA(214, 15, F2, 13) (dual of [15, 1, 14]-code), using
- strength reduction [i] based on linear OA(214, 15, F2, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,2)), using
- dual of repetition code with length 15 [i]
- strength reduction [i] based on linear OA(214, 15, F2, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,2)), using
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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 | OOA(2168, 4202500, S2, 5, 10) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(2169, 4202500, S2, 5, 11) | [i] | ||
| 3 | OOA(229, 8199, S2, 6, 5) | [i] | Appending Arbitrary Columns | |
| 4 | OOA(229, 8199, S2, 7, 5) | [i] | ||
| 5 | OOA(229, 8199, S2, 8, 5) | [i] | ||
| 6 | (24, 29, 8199)-net in base 2 | [i] | Net Defined by OOA | |