Information on Result #599640
There is no digital (66, 226, 422)-net over F4, because extracting embedded orthogonal array would yield linear OA(4226, 422, F4, 160) (dual of [422, 196, 161]-code), but
- residual code [i] 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, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (66, 227, 422)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (66, 228, 422)-net over F4 | [i] | ||
| 3 | No digital (66, 229, 422)-net over F4 | [i] | ||