Information on Result #3148071
There is no digital (40, 154, 209)-net over F4, because 2 times m-reduction would yield digital (40, 152, 209)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4152, 209, F4, 112) (dual of [209, 57, 113]-code), but
- residual code [i] would yield OA(440, 96, S4, 28), but
- the linear programming bound shows that M ≥ 3 041221 052768 594873 805769 980859 249005 438281 138205 879215 063040 / 2 375396 786313 270370 198219 858144 081283 > 440 [i]
- residual code [i] would yield OA(440, 96, S4, 28), 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.