Information on Result #3148779
There is no digital (47, 170, 283)-net over F4, because 3 times m-reduction would yield digital (47, 167, 283)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4167, 283, F4, 120) (dual of [283, 116, 121]-code), but
- residual code [i] would yield OA(447, 162, S4, 30), but
- the linear programming bound shows that M ≥ 661 618547 319544 075336 945316 804054 288235 251664 473292 800000 / 32634 021485 375754 527704 375031 > 447 [i]
- residual code [i] would yield OA(447, 162, S4, 30), 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.