Information on Result #3146597
There is no digital (74, 229, 233)-net over F3, because 5 times m-reduction would yield digital (74, 224, 233)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3224, 233, F3, 150) (dual of [233, 9, 151]-code), but
- residual code [i] would yield OA(374, 82, S3, 50), but
- the linear programming bound shows that M ≥ 1133 201025 509985 412089 971278 248938 614941 / 5015 > 374 [i]
- residual code [i] would yield OA(374, 82, S3, 50), 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.