Information on Result #3146587
There is no digital (74, 216, 244)-net over F3, because 1 times m-reduction would yield digital (74, 215, 244)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3215, 244, F3, 141) (dual of [244, 29, 142]-code), but
- residual code [i] would yield OA(374, 102, S3, 47), but
- the linear programming bound shows that M ≥ 24 172059 374503 335333 710062 818989 807752 718779 974987 / 100 882765 286875 > 374 [i]
- residual code [i] would yield OA(374, 102, S3, 47), 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.