Information on Result #3145650
There is no digital (59, 175, 198)-net over F3, because 2 times m-reduction would yield digital (59, 173, 198)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3173, 198, F3, 114) (dual of [198, 25, 115]-code), but
- residual code [i] would yield OA(359, 83, S3, 38), but
- the linear programming bound shows that M ≥ 325 626781 031292 288709 976539 068217 532079 726399 / 18937 606422 109375 > 359 [i]
- residual code [i] would yield OA(359, 83, S3, 38), 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.