Information on Result #557928
There is no linear OOA(3219, 237, F3, 2, 145) (dual of [(237, 2), 255, 146]-NRT-code), because 1 step m-reduction would yield linear OA(3218, 237, F3, 144) (dual of [237, 19, 145]-code), but
- residual code [i] would yield OA(374, 92, S3, 48), but
- the linear programming bound shows that M ≥ 3 583772 877980 231256 721753 514663 969433 633846 / 17 172295 > 374 [i]
Mode: Bound (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 | No linear OOA(3219, 237, F3, 3, 145) (dual of [(237, 3), 492, 146]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3219, 237, F3, 4, 145) (dual of [(237, 4), 729, 146]-NRT-code) | [i] | ||
| 3 | No linear OOA(3219, 237, F3, 5, 145) (dual of [(237, 5), 966, 146]-NRT-code) | [i] | ||