Information on Result #3146661
There is no digital (76, 227, 242)-net over F3, because 1 times m-reduction would yield digital (76, 226, 242)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3226, 242, F3, 150) (dual of [242, 16, 151]-code), but
- residual code [i] would yield OA(376, 91, S3, 50), but
- 1 times truncation [i] would yield OA(375, 90, S3, 49), but
- the linear programming bound shows that M ≥ 7 865942 474943 247001 112000 197553 099948 432417 / 12 714325 > 375 [i]
- 1 times truncation [i] would yield OA(375, 90, S3, 49), but
- residual code [i] would yield OA(376, 91, 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.