Information on Result #556425
There is no linear OOA(3140, 234, F3, 2, 89) (dual of [(234, 2), 328, 90]-NRT-code), because 2 step m-reduction would yield linear OA(3138, 234, F3, 87) (dual of [234, 96, 88]-code), but
- residual code [i] would yield OA(351, 146, S3, 29), but
- the linear programming bound shows that M ≥ 5126 774601 249175 366045 349858 741246 206423 340601 352320 / 2311 172455 881906 807675 878437 > 351 [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(3140, 234, F3, 3, 89) (dual of [(234, 3), 562, 90]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3140, 234, F3, 4, 89) (dual of [(234, 4), 796, 90]-NRT-code) | [i] | ||
| 3 | No linear OOA(3140, 234, F3, 5, 89) (dual of [(234, 5), 1030, 90]-NRT-code) | [i] | ||