Information on Result #3145815
There is no digital (61, 179, 206)-net over F3, because 1 times m-reduction would yield digital (61, 178, 206)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3178, 206, F3, 117) (dual of [206, 28, 118]-code), but
- residual code [i] would yield OA(361, 88, S3, 39), but
- the linear programming bound shows that M ≥ 27794 948374 262252 134892 330586 188426 701201 134663 / 193694 611824 634375 > 361 [i]
- residual code [i] would yield OA(361, 88, S3, 39), 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.