Information on Result #609777
Linear OA(324, 1025, F32, 3) (dual of [1025, 1021, 4]-code or 1025-cap in PG(3,32)), using ovoid in PG(3, 32)
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(165, 1025, S16, 3) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3217, 2050, F32, 7) (dual of [2050, 2033, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3223, 33794, F32, 7) (dual of [33794, 33771, 8]-code) | [i] | ||
| 4 | Linear OA(3229, 1049602, F32, 7) (dual of [1049602, 1049573, 8]-code) | [i] | ||
| 5 | Linear OA(3215, 2048, F32, 6) (dual of [2048, 2033, 7]-code) | [i] | ||
| 6 | Linear OA(3220, 33793, F32, 6) (dual of [33793, 33773, 7]-code) | [i] | ||
| 7 | Linear OA(3225, 1049601, F32, 6) (dual of [1049601, 1049576, 7]-code) | [i] | ||
| 8 | Linear OA(3217, 2052, F32, 7) (dual of [2052, 2035, 8]-code) | [i] | ||
| 9 | Linear OA(3218, 2055, F32, 7) (dual of [2055, 2037, 8]-code) | [i] | ||
| 10 | Linear OA(3223, 33796, F32, 7) (dual of [33796, 33773, 8]-code) | [i] | ||
| 11 | Linear OA(3229, 1049605, F32, 7) (dual of [1049605, 1049576, 8]-code) | [i] | ||
| 12 | Linear OA(3215, 2052, F32, 6) (dual of [2052, 2037, 7]-code) | [i] | ||
| 13 | Linear OA(3220, 33796, F32, 6) (dual of [33796, 33776, 7]-code) | [i] | ||
| 14 | Linear OA(3225, 1049605, F32, 6) (dual of [1049605, 1049580, 7]-code) | [i] | ||
| 15 | Linear OA(3224, 32800, F32, 7) (dual of [32800, 32776, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(328, 3214400, F32, 3) (dual of [3214400, 3214392, 4]-code or 3214400-cap in PG(7,32)) | [i] | Product of Projective Cap with Cap in AG(4, b) | |
| 17 | Linear OOA(324, 1025, F32, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |