Information on Result #3149649
There is no digital (60, 237, 258)-net over F4, because 1 times m-reduction would yield digital (60, 236, 258)-net over F4, but
- extracting embedded orthogonal array [i] 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]
- residual code [i] would yield OA(460, 81, S4, 44), but
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
None.