Information on Result #547346
There is no linear OA(4226, 422, F4, 160) (dual of [422, 196, 161]-code), because residual code would yield OA(466, 261, S4, 40), but
- the linear programming bound shows that M ≥ 327016 444997 139005 823489 073156 791701 824991 264795 866993 154478 474670 227349 271740 416000 / 57 698874 415078 925905 565190 919370 722090 693979 > 466 [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(4227, 423, F4, 161) (dual of [423, 196, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4228, 424, F4, 162) (dual of [424, 196, 163]-code) | [i] | ||
| 3 | No linear OA(4229, 425, F4, 163) (dual of [425, 196, 164]-code) | [i] | ||
| 4 | No linear OOA(4227, 422, F4, 2, 161) (dual of [(422, 2), 617, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4228, 422, F4, 2, 162) (dual of [(422, 2), 616, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4229, 422, F4, 2, 163) (dual of [(422, 2), 615, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4226, 422, F4, 2, 160) (dual of [(422, 2), 618, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4226, 422, F4, 3, 160) (dual of [(422, 3), 1040, 161]-NRT-code) | [i] | ||
| 9 | No digital (66, 226, 422)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |