Information on Result #3148392
There is no digital (43, 152, 278)-net over F4, because 1 times m-reduction would yield digital (43, 151, 278)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4151, 278, F4, 108) (dual of [278, 127, 109]-code), but
- residual code [i] would yield OA(443, 169, S4, 27), but
- the linear programming bound shows that M ≥ 2 258084 826110 482413 293337 625257 488476 076882 126910 259200 / 27993 955821 734889 149855 565983 > 443 [i]
- residual code [i] would yield OA(443, 169, S4, 27), 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.