Information on Result #547452
There is no linear OA(4243, 284, F4, 180) (dual of [284, 41, 181]-code), because residual code would yield OA(463, 103, S4, 45), but
- the linear programming bound shows that M ≥ 30 963907 201042 572946 047598 093595 047914 220745 773823 416057 277667 026891 964416 / 314660 526989 952486 919791 531363 400925 > 463 [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(4244, 285, F4, 181) (dual of [285, 41, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4245, 286, F4, 182) (dual of [286, 41, 183]-code) | [i] | ||
| 3 | No linear OA(4246, 287, F4, 183) (dual of [287, 41, 184]-code) | [i] | ||
| 4 | No linear OOA(4244, 284, F4, 2, 181) (dual of [(284, 2), 324, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4245, 284, F4, 2, 182) (dual of [(284, 2), 323, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4246, 284, F4, 2, 183) (dual of [(284, 2), 322, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4243, 284, F4, 2, 180) (dual of [(284, 2), 325, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4243, 284, F4, 3, 180) (dual of [(284, 3), 609, 181]-NRT-code) | [i] | ||
| 9 | No digital (63, 243, 284)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |