Information on Result #609775
Linear OA(254, 626, F25, 3) (dual of [626, 622, 4]-code or 626-cap in PG(3,25)), using ovoid in PG(3, 25)
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(2517, 1252, F25, 7) (dual of [1252, 1235, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2523, 16252, F25, 7) (dual of [16252, 16229, 8]-code) | [i] | ||
| 3 | Linear OA(2529, 391252, F25, 7) (dual of [391252, 391223, 8]-code) | [i] | ||
| 4 | Linear OA(2520, 16251, F25, 6) (dual of [16251, 16231, 7]-code) | [i] | ||
| 5 | Linear OA(2525, 391251, F25, 6) (dual of [391251, 391226, 7]-code) | [i] | ||
| 6 | Linear OA(2517, 1254, F25, 7) (dual of [1254, 1237, 8]-code) | [i] | ||
| 7 | Linear OA(2523, 16254, F25, 7) (dual of [16254, 16231, 8]-code) | [i] | ||
| 8 | Linear OA(2529, 391255, F25, 7) (dual of [391255, 391226, 8]-code) | [i] | ||
| 9 | Linear OA(2520, 16254, F25, 6) (dual of [16254, 16234, 7]-code) | [i] | ||
| 10 | Linear OA(2525, 391255, F25, 6) (dual of [391255, 391230, 7]-code) | [i] | ||
| 11 | Linear OA(2524, 15650, F25, 7) (dual of [15650, 15626, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OOA(254, 626, F25, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |