Information on Result #609781
Linear OA(1284, 16385, F128, 3) (dual of [16385, 16381, 4]-code or 16385-cap in PG(3,128)), using ovoid in PG(3, 128)
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 | OA(645, 16385, S64, 3) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12817, 32770, F128, 7) (dual of [32770, 32753, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12823, 2113538, F128, 7) (dual of [2113538, 2113515, 8]-code) | [i] | ||
| 4 | Linear OA(12815, 32768, F128, 6) (dual of [32768, 32753, 7]-code) | [i] | ||
| 5 | Linear OA(12820, 2113537, F128, 6) (dual of [2113537, 2113517, 7]-code) | [i] | ||
| 6 | Linear OA(12817, 32771, F128, 7) (dual of [32771, 32754, 8]-code) | [i] | ||
| 7 | Linear OA(12818, 32775, F128, 7) (dual of [32775, 32757, 8]-code) | [i] | ||
| 8 | Linear OA(12823, 2113540, F128, 7) (dual of [2113540, 2113517, 8]-code) | [i] | ||
| 9 | Linear OA(12815, 32771, F128, 6) (dual of [32771, 32756, 7]-code) | [i] | ||
| 10 | Linear OA(12820, 2113540, F128, 6) (dual of [2113540, 2113520, 7]-code) | [i] | ||
| 11 | Linear OA(12824, 2097280, F128, 7) (dual of [2097280, 2097256, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(1287, large, F128, 3) (dual of [large, large−7, 4]-code) | [i] | Product of Projective Cap with b2-Ovoid Cap in AG(3, b) | |
| 13 | Linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 14 | Linear OOA(1284, 16384, F128, 3, 3) (dual of [(16384, 3), 49148, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |