Information on Result #558502
There is no linear OOA(3236, 251, F3, 2, 157) (dual of [(251, 2), 266, 158]-NRT-code), because 1 step m-reduction would yield linear OA(3235, 251, F3, 156) (dual of [251, 16, 157]-code), but
- residual code [i] would yield OA(379, 94, S3, 52), but
- 1 times truncation [i] would yield OA(378, 93, S3, 51), but
- the linear programming bound shows that M ≥ 2117 985825 855951 548682 979121 686352 501183 391624 / 117 447583 > 378 [i]
- 1 times truncation [i] would yield OA(378, 93, S3, 51), but
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(3236, 251, F3, 3, 157) (dual of [(251, 3), 517, 158]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3236, 251, F3, 4, 157) (dual of [(251, 4), 768, 158]-NRT-code) | [i] | ||
| 3 | No linear OOA(3236, 251, F3, 5, 157) (dual of [(251, 5), 1019, 158]-NRT-code) | [i] | ||