Information on Result #546908
There is no linear OA(3215, 244, F3, 141) (dual of [244, 29, 142]-code), because residual code 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 OA(3216, 245, F3, 142) (dual of [245, 29, 143]-code) | [i] | Truncation | |
| 2 | No linear OA(3217, 246, F3, 143) (dual of [246, 29, 144]-code) | [i] | ||
| 3 | No linear OOA(3216, 244, F3, 2, 142) (dual of [(244, 2), 272, 143]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3217, 244, F3, 2, 143) (dual of [(244, 2), 271, 144]-NRT-code) | [i] | ||
| 5 | No linear OOA(3215, 244, F3, 2, 141) (dual of [(244, 2), 273, 142]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3215, 244, F3, 3, 141) (dual of [(244, 3), 517, 142]-NRT-code) | [i] | ||
| 7 | No linear OOA(3215, 244, F3, 4, 141) (dual of [(244, 4), 761, 142]-NRT-code) | [i] | ||
| 8 | No linear OOA(3215, 244, F3, 5, 141) (dual of [(244, 5), 1005, 142]-NRT-code) | [i] | ||
| 9 | No digital (74, 215, 244)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |