Information on Result #805233
Linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable 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, 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 | OOA(1285, 65537, S128, 2, 3) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25615, 65538, F256, 2, 6) (dual of [(65538, 2), 131061, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25620, 4259838, F256, 2, 6) (dual of [(4259838, 2), 8519656, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(25617, 65538, F256, 2, 7) (dual of [(65538, 2), 131059, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(25618, 65542, F256, 2, 7) (dual of [(65542, 2), 131066, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(25623, 4259838, F256, 2, 7) (dual of [(4259838, 2), 8519653, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(25636, large, F256, 2, 9) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(25618, 65794, F256, 2, 7) (dual of [(65794, 2), 131570, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(25624, large, F256, 2, 7) | [i] | ||
| 10 | Linear OOA(25621, large, F256, 2, 6) | [i] | ||
| 11 | Linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code) | [i] | Appending kth Column | |