Information on Result #558326
There is no linear OOA(3231, 233, F3, 2, 157) (dual of [(233, 2), 235, 158]-NRT-code), because 7 step m-reduction would yield linear OA(3224, 233, F3, 150) (dual of [233, 9, 151]-code), but
- residual code [i] would yield OA(374, 82, S3, 50), but
- the linear programming bound shows that M ≥ 1133 201025 509985 412089 971278 248938 614941 / 5015 > 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(3231, 233, F3, 3, 157) (dual of [(233, 3), 468, 158]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3231, 233, F3, 4, 157) (dual of [(233, 4), 701, 158]-NRT-code) | [i] | ||
| 3 | No linear OOA(3231, 233, F3, 5, 157) (dual of [(233, 5), 934, 158]-NRT-code) | [i] | ||