Information on Result #556475
There is no linear OOA(3144, 228, F3, 2, 92) (dual of [(228, 2), 312, 93]-NRT-code), because 2 step m-reduction would yield linear OA(3142, 228, F3, 90) (dual of [228, 86, 91]-code), but
- residual code [i] would yield OA(352, 137, S3, 30), but
- the linear programming bound shows that M ≥ 44562 633012 596463 108701 497133 833862 064231 636556 224801 562500 / 6631 930927 956088 032510 798182 283163 > 352 [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(3144, 228, F3, 3, 92) (dual of [(228, 3), 540, 93]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3144, 228, F3, 4, 92) (dual of [(228, 4), 768, 93]-NRT-code) | [i] | ||
| 3 | No linear OOA(3144, 228, F3, 5, 92) (dual of [(228, 5), 996, 93]-NRT-code) | [i] | ||