Information on Result #3144841
There is no digital (50, 213, 162)-net over F3, because 61 times m-reduction would yield digital (50, 152, 162)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3152, 162, F3, 102) (dual of [162, 10, 103]-code), but
- residual code [i] would yield linear OA(350, 59, F3, 34) (dual of [59, 9, 35]-code), but
- 1 times truncation [i] would yield linear OA(349, 58, F3, 33) (dual of [58, 9, 34]-code), but
- residual code [i] would yield linear OA(316, 24, F3, 11) (dual of [24, 8, 12]-code), but
- 1 times truncation [i] would yield linear OA(349, 58, F3, 33) (dual of [58, 9, 34]-code), but
- residual code [i] would yield linear OA(350, 59, F3, 34) (dual of [59, 9, 35]-code), 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.