Information on Result #805160
Linear OOA(74, 50, F7, 2, 3) (dual of [(50, 2), 96, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(74, 50, F7, 3) (dual of [50, 46, 4]-code or 50-cap in PG(3,7)), 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(730, 8456, F7, 2, 6) (dual of [(8456, 2), 16882, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(740, 411825, F7, 2, 6) (dual of [(411825, 2), 823610, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(746, 5764854, F7, 2, 6) (dual of [(5764854, 2), 11529662, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(712, 26, F7, 2, 7) (dual of [(26, 2), 40, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(722, 221, F7, 2, 7) (dual of [(221, 2), 420, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(734, 8453, F7, 2, 7) (dual of [(8453, 2), 16872, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(746, 411821, F7, 2, 7) (dual of [(411821, 2), 823596, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(754, 5764854, F7, 2, 7) (dual of [(5764854, 2), 11529654, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(722, 250, F7, 2, 7) (dual of [(250, 2), 478, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(74, 50, F7, 3, 3) (dual of [(50, 3), 146, 4]-NRT-code) | [i] | Appending kth Column | |