Information on Result #546990
There is no linear OA(3227, 246, F3, 150) (dual of [246, 19, 151]-code), because residual code would yield OA(377, 95, S3, 50), but
- the linear programming bound shows that M ≥ 663144 314497 742449 686720 632435 687556 544336 178409 / 110288 712508 > 377 [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(3228, 247, F3, 151) (dual of [247, 19, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3229, 248, F3, 152) (dual of [248, 19, 153]-code) | [i] | ||
| 3 | No linear OOA(3228, 246, F3, 2, 151) (dual of [(246, 2), 264, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3229, 246, F3, 2, 152) (dual of [(246, 2), 263, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3227, 246, F3, 2, 150) (dual of [(246, 2), 265, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3227, 246, F3, 3, 150) (dual of [(246, 3), 511, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3227, 246, F3, 4, 150) (dual of [(246, 4), 757, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3227, 246, F3, 5, 150) (dual of [(246, 5), 1003, 151]-NRT-code) | [i] | ||
| 9 | No digital (77, 227, 246)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |