Information on Result #805204
Linear OOA(274, 730, F27, 2, 3) (dual of [(730, 2), 1456, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(274, 730, F27, 3) (dual of [730, 726, 4]-code or 730-cap in PG(3,27)), 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(2720, 10573, F27, 2, 6) (dual of [(10573, 2), 21126, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2725, 266452, F27, 2, 6) (dual of [(266452, 2), 532879, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(2730, 4195031, F27, 2, 6) (dual of [(4195031, 2), 8390032, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(2712, 76, F27, 2, 7) (dual of [(76, 2), 140, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(2717, 732, F27, 2, 7) (dual of [(732, 2), 1447, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(2723, 10573, F27, 2, 7) (dual of [(10573, 2), 21123, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(2729, 266452, F27, 2, 7) (dual of [(266452, 2), 532875, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(2735, 4195031, F27, 2, 7) (dual of [(4195031, 2), 8390027, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(2718, 776, F27, 2, 7) (dual of [(776, 2), 1534, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(274, 730, F27, 3, 3) (dual of [(730, 3), 2186, 4]-NRT-code) | [i] | Appending kth Column | |