Information on Result #609780
Linear OA(814, 6562, F81, 3) (dual of [6562, 6558, 4]-code or 6562-cap in PG(3,81)), using ovoid in PG(3, 81)
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 | Linear OA(8117, 13124, F81, 7) (dual of [13124, 13107, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8123, 538004, F81, 7) (dual of [538004, 537981, 8]-code) | [i] | ||
| 3 | Linear OA(8115, 13122, F81, 6) (dual of [13122, 13107, 7]-code) | [i] | ||
| 4 | Linear OA(8120, 538003, F81, 6) (dual of [538003, 537983, 7]-code) | [i] | ||
| 5 | Linear OA(8117, 13125, F81, 7) (dual of [13125, 13108, 8]-code) | [i] | ||
| 6 | Linear OA(8118, 13129, F81, 7) (dual of [13129, 13111, 8]-code) | [i] | ||
| 7 | Linear OA(8123, 538006, F81, 7) (dual of [538006, 537983, 8]-code) | [i] | ||
| 8 | Linear OA(8115, 13125, F81, 6) (dual of [13125, 13110, 7]-code) | [i] | ||
| 9 | Linear OA(8120, 538006, F81, 6) (dual of [538006, 537986, 7]-code) | [i] | ||
| 10 | Linear OA(8118, 6678, F81, 7) (dual of [6678, 6660, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(8124, 531522, F81, 7) (dual of [531522, 531498, 8]-code) | [i] | ||
| 12 | Linear OA(817, large, F81, 3) (dual of [large, large−7, 4]-code) | [i] | Product of Projective Cap with b2-Ovoid Cap in AG(3, b) | |
| 13 | Linear OOA(814, 6562, F81, 2, 3) (dual of [(6562, 2), 13120, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 14 | Linear OOA(814, 6561, F81, 3, 3) (dual of [(6561, 3), 19679, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |