Information on Result #546754
There is no linear OA(3182, 204, F3, 120) (dual of [204, 22, 121]-code), because residual code would yield OA(362, 83, S3, 40), but
- the linear programming bound shows that M ≥ 463 942350 761962 378112 632058 617109 511207 / 1197 196966 > 362 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3183, 205, F3, 121) (dual of [205, 22, 122]-code) | [i] | Truncation | |
| 2 | No linear OA(3184, 206, F3, 122) (dual of [206, 22, 123]-code) | [i] | ||
| 3 | No linear OOA(3183, 204, F3, 2, 121) (dual of [(204, 2), 225, 122]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3184, 204, F3, 2, 122) (dual of [(204, 2), 224, 123]-NRT-code) | [i] | ||
| 5 | No linear OOA(3182, 204, F3, 2, 120) (dual of [(204, 2), 226, 121]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3182, 204, F3, 3, 120) (dual of [(204, 3), 430, 121]-NRT-code) | [i] | ||
| 7 | No linear OOA(3182, 204, F3, 4, 120) (dual of [(204, 4), 634, 121]-NRT-code) | [i] | ||
| 8 | No linear OOA(3182, 204, F3, 5, 120) (dual of [(204, 5), 838, 121]-NRT-code) | [i] | ||
| 9 | No digital (62, 182, 204)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |