Information on Result #609779
Linear OA(644, 4097, F64, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64)), using ovoid in PG(3, 64)
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(325, 4097, S32, 3) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(6417, 8194, F64, 7) (dual of [8194, 8177, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6423, 266242, F64, 7) (dual of [266242, 266219, 8]-code) | [i] | ||
| 4 | Linear OA(6415, 8192, F64, 6) (dual of [8192, 8177, 7]-code) | [i] | ||
| 5 | Linear OA(6420, 266241, F64, 6) (dual of [266241, 266221, 7]-code) | [i] | ||
| 6 | Linear OA(6417, 8195, F64, 7) (dual of [8195, 8178, 8]-code) | [i] | ||
| 7 | Linear OA(6418, 8199, F64, 7) (dual of [8199, 8181, 8]-code) | [i] | ||
| 8 | Linear OA(6423, 266244, F64, 7) (dual of [266244, 266221, 8]-code) | [i] | ||
| 9 | Linear OA(6415, 8195, F64, 6) (dual of [8195, 8180, 7]-code) | [i] | ||
| 10 | Linear OA(6420, 266244, F64, 6) (dual of [266244, 266224, 7]-code) | [i] | ||
| 11 | Linear OA(6424, 262208, F64, 7) (dual of [262208, 262184, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(647, large, F64, 3) (dual of [large, large−7, 4]-code) | [i] | Product of Projective Cap with b2-Ovoid Cap in AG(3, b) | |
| 13 | Linear OOA(644, 4097, F64, 2, 3) (dual of [(4097, 2), 8190, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 14 | Linear OOA(644, 4096, F64, 3, 3) (dual of [(4096, 3), 12284, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |