Information on Result #547428
There is no linear OA(4238, 284, F4, 176) (dual of [284, 46, 177]-code), because residual code would yield OA(462, 107, S4, 44), but
- the linear programming bound shows that M ≥ 17622 602942 558177 133437 108590 576398 639747 070941 352929 752748 829629 227505 655642 080394 898835 505152 / 826 744207 227851 738915 816443 333621 359995 803052 054368 328125 > 462 [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(4239, 285, F4, 177) (dual of [285, 46, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4240, 286, F4, 178) (dual of [286, 46, 179]-code) | [i] | ||
| 3 | No linear OA(4241, 287, F4, 179) (dual of [287, 46, 180]-code) | [i] | ||
| 4 | No linear OOA(4239, 284, F4, 2, 177) (dual of [(284, 2), 329, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4240, 284, F4, 2, 178) (dual of [(284, 2), 328, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4241, 284, F4, 2, 179) (dual of [(284, 2), 327, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4238, 284, F4, 2, 176) (dual of [(284, 2), 330, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4238, 284, F4, 3, 176) (dual of [(284, 3), 614, 177]-NRT-code) | [i] | ||
| 9 | No digital (62, 238, 284)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |