Information on Result #547064
There is no linear OA(3241, 261, F3, 159) (dual of [261, 20, 160]-code), because residual code would yield OA(382, 101, S3, 53), but
- the linear programming bound shows that M ≥ 10993 355000 871367 562211 653536 372020 125189 985096 / 6 532165 > 382 [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 OA(3242, 262, F3, 160) (dual of [262, 20, 161]-code) | [i] | Truncation | |
| 2 | No linear OA(3243, 263, F3, 161) (dual of [263, 20, 162]-code) | [i] | ||
| 3 | No linear OOA(3242, 261, F3, 2, 160) (dual of [(261, 2), 280, 161]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3243, 261, F3, 2, 161) (dual of [(261, 2), 279, 162]-NRT-code) | [i] | ||
| 5 | No linear OOA(3241, 261, F3, 2, 159) (dual of [(261, 2), 281, 160]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3241, 261, F3, 3, 159) (dual of [(261, 3), 542, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(3241, 261, F3, 4, 159) (dual of [(261, 4), 803, 160]-NRT-code) | [i] | ||
| 8 | No linear OOA(3241, 261, F3, 5, 159) (dual of [(261, 5), 1064, 160]-NRT-code) | [i] | ||
| 9 | No digital (82, 241, 261)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |