Information on Result #3146586
There is no digital (74, 214, 254)-net over F3, because 2 times m-reduction would yield digital (74, 212, 254)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3212, 254, F3, 138) (dual of [254, 42, 139]-code), but
- residual code [i] would yield OA(374, 115, S3, 46), but
- the linear programming bound shows that M ≥ 8 763908 391706 642886 730085 119289 615348 861817 414825 091166 679403 / 41 340331 803107 168784 037085 > 374 [i]
- residual code [i] would yield OA(374, 115, S3, 46), 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.