Information on Result #547067
There is no linear OA(3244, 283, F3, 159) (dual of [283, 39, 160]-code), because residual code would yield OA(385, 123, S3, 53), but
- the linear programming bound shows that M ≥ 18 556558 104235 515171 973211 626345 894318 538602 254870 483785 952441 / 483 199328 091023 596855 > 385 [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(3245, 284, F3, 160) (dual of [284, 39, 161]-code) | [i] | Truncation | |
| 2 | No linear OA(3246, 285, F3, 161) (dual of [285, 39, 162]-code) | [i] | ||
| 3 | No linear OOA(3245, 283, F3, 2, 160) (dual of [(283, 2), 321, 161]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3246, 283, F3, 2, 161) (dual of [(283, 2), 320, 162]-NRT-code) | [i] | ||
| 5 | No linear OOA(3244, 283, F3, 2, 159) (dual of [(283, 2), 322, 160]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3244, 283, F3, 3, 159) (dual of [(283, 3), 605, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(3244, 283, F3, 4, 159) (dual of [(283, 4), 888, 160]-NRT-code) | [i] | ||
| 8 | No linear OOA(3244, 283, F3, 5, 159) (dual of [(283, 5), 1171, 160]-NRT-code) | [i] | ||
| 9 | No digital (85, 244, 283)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |