Information on Result #546991
There is no linear OA(3228, 251, F3, 150) (dual of [251, 23, 151]-code), because residual code would yield OA(378, 100, S3, 50), but
- the linear programming bound shows that M ≥ 38101 440069 622014 833427 457285 684571 162543 165529 / 2181 771007 > 378 [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(3229, 252, F3, 151) (dual of [252, 23, 152]-code) | [i] | Truncation | |
| 2 | No linear OA(3230, 253, F3, 152) (dual of [253, 23, 153]-code) | [i] | ||
| 3 | No linear OOA(3229, 251, F3, 2, 151) (dual of [(251, 2), 273, 152]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3230, 251, F3, 2, 152) (dual of [(251, 2), 272, 153]-NRT-code) | [i] | ||
| 5 | No linear OOA(3228, 251, F3, 2, 150) (dual of [(251, 2), 274, 151]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3228, 251, F3, 3, 150) (dual of [(251, 3), 525, 151]-NRT-code) | [i] | ||
| 7 | No linear OOA(3228, 251, F3, 4, 150) (dual of [(251, 4), 776, 151]-NRT-code) | [i] | ||
| 8 | No linear OOA(3228, 251, F3, 5, 150) (dual of [(251, 5), 1027, 151]-NRT-code) | [i] | ||
| 9 | No digital (78, 228, 251)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |