Information on Result #805148
Linear OOA(55, 66, F5, 2, 3) (dual of [(66, 2), 127, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(55, 66, F5, 3) (dual of [66, 61, 4]-code or 66-cap in PG(4,5)), 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 | Linear OOA(515, 66, F5, 2, 6) (dual of [(66, 2), 117, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(546, 4194367, F5, 2, 6) (dual of [(4194367, 2), 8388688, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(519, 104, F5, 2, 7) (dual of [(104, 2), 189, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(556, 4194367, F5, 2, 7) (dual of [(4194367, 2), 8388678, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(55, 66, F5, 3, 3) (dual of [(66, 3), 193, 4]-NRT-code) | [i] | Appending kth Column | |