Information on Result #599586
There is no digital (60, 236, 258)-net over F4, because extracting embedded orthogonal array would yield linear OA(4236, 258, F4, 176) (dual of [258, 22, 177]-code), but
- residual code [i] would yield OA(460, 81, S4, 44), but
- the linear programming bound shows that M ≥ 278 016363 629983 093645 810481 419845 575227 299067 854848 / 143 941903 015625 > 460 [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 (60, 237, 258)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 238, 258)-net over F4 | [i] | ||
| 3 | No digital (60, 239, 258)-net over F4 | [i] | ||