Information on Result #546934
There is no linear OA(3219, 245, F3, 144) (dual of [245, 26, 145]-code), because residual code would yield OA(375, 100, S3, 48), but
- the linear programming bound shows that M ≥ 226 805771 897859 565583 876956 237485 928730 202904 705179 / 269 019371 489414 > 375 [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(3220, 246, F3, 145) (dual of [246, 26, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(3221, 247, F3, 146) (dual of [247, 26, 147]-code) | [i] | ||
| 3 | No linear OOA(3220, 245, F3, 2, 145) (dual of [(245, 2), 270, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3221, 245, F3, 2, 146) (dual of [(245, 2), 269, 147]-NRT-code) | [i] | ||
| 5 | No linear OOA(3219, 245, F3, 2, 144) (dual of [(245, 2), 271, 145]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3219, 245, F3, 3, 144) (dual of [(245, 3), 516, 145]-NRT-code) | [i] | ||
| 7 | No linear OOA(3219, 245, F3, 4, 144) (dual of [(245, 4), 761, 145]-NRT-code) | [i] | ||
| 8 | No linear OOA(3219, 245, F3, 5, 144) (dual of [(245, 5), 1006, 145]-NRT-code) | [i] | ||
| 9 | No digital (75, 219, 245)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |