Information on Result #557837
There is no linear OOA(3216, 244, F3, 2, 142) (dual of [(244, 2), 272, 143]-NRT-code), because 1 step m-reduction would yield linear OA(3215, 244, F3, 141) (dual of [244, 29, 142]-code), but
- residual code [i] would yield OA(374, 102, S3, 47), but
- the linear programming bound shows that M ≥ 24 172059 374503 335333 710062 818989 807752 718779 974987 / 100 882765 286875 > 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(3216, 244, F3, 3, 142) (dual of [(244, 3), 516, 143]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3216, 244, F3, 4, 142) (dual of [(244, 4), 760, 143]-NRT-code) | [i] | ||
| 3 | No linear OOA(3216, 244, F3, 5, 142) (dual of [(244, 5), 1004, 143]-NRT-code) | [i] | ||