Information on Result #546637
There is no linear OA(3144, 250, F3, 90) (dual of [250, 106, 91]-code), because residual code would yield OA(354, 159, S3, 30), but
- the linear programming bound shows that M ≥ 57 512545 780273 008066 954941 653603 554048 685010 751297 100155 / 986015 082551 936588 824240 203061 > 354 [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(3145, 251, F3, 91) (dual of [251, 106, 92]-code) | [i] | Truncation | |
| 2 | No linear OA(3146, 252, F3, 92) (dual of [252, 106, 93]-code) | [i] | ||
| 3 | No linear OOA(3145, 250, F3, 2, 91) (dual of [(250, 2), 355, 92]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3146, 250, F3, 2, 92) (dual of [(250, 2), 354, 93]-NRT-code) | [i] | ||
| 5 | No linear OOA(3144, 250, F3, 2, 90) (dual of [(250, 2), 356, 91]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3144, 250, F3, 3, 90) (dual of [(250, 3), 606, 91]-NRT-code) | [i] | ||
| 7 | No linear OOA(3144, 250, F3, 4, 90) (dual of [(250, 4), 856, 91]-NRT-code) | [i] | ||
| 8 | No linear OOA(3144, 250, F3, 5, 90) (dual of [(250, 5), 1106, 91]-NRT-code) | [i] | ||
| 9 | No digital (54, 144, 250)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |