Information on Result #3145896
There is no digital (62, 186, 200)-net over F3, because 1 times m-reduction would yield digital (62, 185, 200)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3185, 200, F3, 123) (dual of [200, 15, 124]-code), but
- residual code [i] would yield OA(362, 76, S3, 41), but
- the linear programming bound shows that M ≥ 347660 486804 616889 071607 220289 701250 / 818741 > 362 [i]
- residual code [i] would yield OA(362, 76, S3, 41), 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.