Information on Result #3152818
There is no digital (18, 146, 249)-net over F9, because 2 times m-reduction would yield digital (18, 144, 249)-net over F9, but
- extracting embedded orthogonal array [i] would yield linear OA(9144, 249, F9, 126) (dual of [249, 105, 127]-code), but
- residual code [i] would yield OA(918, 122, S9, 14), but
- the linear programming bound shows that M ≥ 4161 607418 279756 679704 515291 060521 / 26198 155282 991513 > 918 [i]
- residual code [i] would yield OA(918, 122, S9, 14), 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.