Information on Result #805229
Linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(1284, 16385, F128, 3) (dual of [16385, 16381, 4]-code or 16385-cap in PG(3,128)), using
Mode: Constructive and linear.
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(645, 16385, S64, 2, 3) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(12815, 16386, F128, 2, 6) (dual of [(16386, 2), 32757, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12820, 1064962, F128, 2, 6) (dual of [(1064962, 2), 2129904, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(12825, 4210686, F128, 2, 6) (dual of [(4210686, 2), 8421347, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(12812, 300, F128, 2, 7) (dual of [(300, 2), 588, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(12817, 16386, F128, 2, 7) (dual of [(16386, 2), 32755, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(12818, 16390, F128, 2, 7) (dual of [(16390, 2), 32762, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(12823, 1064962, F128, 2, 7) (dual of [(1064962, 2), 2129901, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(12829, 4210686, F128, 2, 7) (dual of [(4210686, 2), 8421343, 8]-NRT-code) | [i] | ||
| 10 | OOA(12823, 4210686, S128, 2, 6) | [i] | ||
| 11 | OOA(12812, 514, S128, 2, 7) | [i] | ||
| 12 | OOA(12826, 4210686, S128, 2, 7) | [i] | ||
| 13 | Linear OOA(12818, 16554, F128, 2, 7) (dual of [(16554, 2), 33090, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 14 | Linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code) | [i] | Appending kth Column | |