Information on Result #3148876
There is no digital (48, 190, 218)-net over F4, because 2 times m-reduction would yield digital (48, 188, 218)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4188, 218, F4, 140) (dual of [218, 30, 141]-code), but
- residual code [i] would yield OA(448, 77, S4, 35), but
- the linear programming bound shows that M ≥ 2 326716 110249 333243 457017 779229 098716 487685 948831 694848 / 26 282724 788336 691754 370025 > 448 [i]
- residual code [i] would yield OA(448, 77, S4, 35), 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.