Information on Result #625162
Linear OA(2566, large, F256, 3) (dual of [large, large−6, 4]-code), using product of projective cap with (hyper)oval based on linear OA(2564, 65537, F256, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(2568, large, F256, 3) (dual of [large, large−8, 4]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2569, large, F256, 3) (dual of [large, large−9, 4]-code) | [i] | ||
| 3 | Linear OA(25611, large, F256, 3) (dual of [large, large−11, 4]-code) | [i] | ||
| 4 | Linear OA(25612, large, F256, 3) (dual of [large, large−12, 4]-code) | [i] | ||
| 5 | Linear OA(25614, large, F256, 3) (dual of [large, large−14, 4]-code) | [i] | ||
| 6 | Linear OA(25615, large, F256, 3) (dual of [large, large−15, 4]-code) | [i] | ||
| 7 | Linear OA(25617, large, F256, 3) (dual of [large, large−17, 4]-code) | [i] | ||
| 8 | Linear OA(25618, large, F256, 3) (dual of [large, large−18, 4]-code) | [i] | ||
| 9 | Linear OA(25620, large, F256, 3) (dual of [large, large−20, 4]-code) | [i] | ||
| 10 | Linear OA(25621, large, F256, 3) (dual of [large, large−21, 4]-code) | [i] | ||
| 11 | Linear OA(25623, large, F256, 3) (dual of [large, large−23, 4]-code) | [i] | ||
| 12 | Linear OA(25624, large, F256, 3) (dual of [large, large−24, 4]-code) | [i] | ||
| 13 | Linear OA(25626, large, F256, 3) (dual of [large, large−26, 4]-code) | [i] | ||
| 14 | Linear OA(25627, large, F256, 3) (dual of [large, large−27, 4]-code) | [i] | ||
| 15 | Linear OA(25629, large, F256, 3) (dual of [large, large−29, 4]-code) | [i] | ||
| 16 | Linear OA(25630, large, F256, 3) (dual of [large, large−30, 4]-code) | [i] | ||
| 17 | Linear OA(25632, large, F256, 3) (dual of [large, large−32, 4]-code) | [i] | ||
| 18 | Linear OA(25633, large, F256, 3) (dual of [large, large−33, 4]-code) | [i] | ||
| 19 | Linear OA(25635, large, F256, 3) (dual of [large, large−35, 4]-code) | [i] | ||
| 20 | Linear OA(25636, large, F256, 3) (dual of [large, large−36, 4]-code) | [i] | ||
| 21 | Linear OA(25638, large, F256, 3) (dual of [large, large−38, 4]-code) | [i] | ||
| 22 | Linear OA(25639, large, F256, 3) (dual of [large, large−39, 4]-code) | [i] | ||
| 23 | Linear OA(25641, large, F256, 3) (dual of [large, large−41, 4]-code) | [i] | ||
| 24 | Linear OA(25642, large, F256, 3) (dual of [large, large−42, 4]-code) | [i] | ||
| 25 | Linear OA(25644, large, F256, 3) (dual of [large, large−44, 4]-code) | [i] | ||
| 26 | Linear OA(25645, large, F256, 3) (dual of [large, large−45, 4]-code) | [i] | ||
| 27 | Linear OA(25647, large, F256, 3) (dual of [large, large−47, 4]-code) | [i] | ||
| 28 | Linear OA(25648, large, F256, 3) (dual of [large, large−48, 4]-code) | [i] | ||
| 29 | Linear OA(25650, large, F256, 3) (dual of [large, large−50, 4]-code) | [i] | ||
| 30 | Linear OA(25651, large, F256, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 31 | Linear OA(25653, large, F256, 3) (dual of [large, large−53, 4]-code) | [i] | ||
| 32 | Linear OA(25654, large, F256, 3) (dual of [large, large−54, 4]-code) | [i] | ||
| 33 | Linear OA(25656, large, F256, 3) (dual of [large, large−56, 4]-code) | [i] | ||
| 34 | Linear OA(25657, large, F256, 3) (dual of [large, large−57, 4]-code) | [i] | ||
| 35 | Linear OA(25659, large, F256, 3) (dual of [large, large−59, 4]-code) | [i] | ||
| 36 | Linear OA(25660, large, F256, 3) (dual of [large, large−60, 4]-code) | [i] | ||
| 37 | Linear OA(25662, large, F256, 3) (dual of [large, large−62, 4]-code) | [i] | ||
| 38 | Linear OA(25663, large, F256, 3) (dual of [large, large−63, 4]-code) | [i] | ||
| 39 | Linear OA(25665, large, F256, 3) (dual of [large, large−65, 4]-code) | [i] | ||
| 40 | Linear OA(25666, large, F256, 3) (dual of [large, large−66, 4]-code) | [i] | ||
| 41 | Linear OA(25668, large, F256, 3) (dual of [large, large−68, 4]-code) | [i] | ||
| 42 | Linear OOA(2566, large, F256, 2, 3) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 43 | Linear OOA(2566, 8388602, F256, 3, 3) (dual of [(8388602, 3), 25165800, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |