Information on Result #609782
Linear OA(2564, 65537, F256, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using ovoid in PG(3, 256)
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(1285, 65537, S128, 3) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(25617, 131074, F256, 7) (dual of [131074, 131057, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25615, 131072, F256, 6) (dual of [131072, 131057, 7]-code) | [i] | ||
| 4 | Linear OA(25617, 131075, F256, 7) (dual of [131075, 131058, 8]-code) | [i] | ||
| 5 | Linear OA(25618, 131079, F256, 7) (dual of [131079, 131061, 8]-code) | [i] | ||
| 6 | Linear OA(25615, 131075, F256, 6) (dual of [131075, 131060, 7]-code) | [i] | ||
| 7 | Linear OA(2566, large, F256, 3) (dual of [large, large−6, 4]-code) | [i] | Product of Projective Cap with (Hyper)oval | |
| 8 | Linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 9 | Linear OOA(2564, 65536, F256, 3, 3) (dual of [(65536, 3), 196604, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |