Information on Result #557163
There is no linear OOA(3187, 205, F3, 2, 124) (dual of [(205, 2), 223, 125]-NRT-code), because 1 step m-reduction would yield linear OA(3186, 205, F3, 123) (dual of [205, 19, 124]-code), but
- residual code [i] would yield OA(363, 81, S3, 41), but
- the linear programming bound shows that M ≥ 645814 120288 256333 139417 572410 149042 / 494527 > 363 [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(3187, 205, F3, 3, 124) (dual of [(205, 3), 428, 125]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3187, 205, F3, 4, 124) (dual of [(205, 4), 633, 125]-NRT-code) | [i] | ||
| 3 | No linear OOA(3187, 205, F3, 5, 124) (dual of [(205, 5), 838, 125]-NRT-code) | [i] | ||