Information on Result #547625
There is no linear OA(9104, 245, F9, 90) (dual of [245, 141, 91]-code), because residual code would yield OA(914, 154, S9, 10), but
- the linear programming bound shows that M ≥ 9 845183 946168 672136 787115 / 427681 338151 > 914 [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(9105, 246, F9, 91) (dual of [246, 141, 92]-code) | [i] | Truncation | |
| 2 | No linear OA(9106, 247, F9, 92) (dual of [247, 141, 93]-code) | [i] | ||
| 3 | No linear OOA(9105, 245, F9, 2, 91) (dual of [(245, 2), 385, 92]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(9106, 245, F9, 2, 92) (dual of [(245, 2), 384, 93]-NRT-code) | [i] | ||
| 5 | No linear OOA(9104, 245, F9, 2, 90) (dual of [(245, 2), 386, 91]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(9104, 245, F9, 3, 90) (dual of [(245, 3), 631, 91]-NRT-code) | [i] | ||
| 7 | No digital (14, 104, 245)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |