Information on Result #3145843
There is no digital (61, 210, 193)-net over F3, because 23 times m-reduction would yield digital (61, 187, 193)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3187, 193, F3, 126) (dual of [193, 6, 127]-code), but
- residual code [i] would yield linear OA(361, 66, F3, 42) (dual of [66, 5, 43]-code), but
- residual code [i] would yield linear OA(319, 23, F3, 14) (dual of [23, 4, 15]-code), but
- 2 times truncation [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- residual code [i] would yield linear OA(319, 23, F3, 14) (dual of [23, 4, 15]-code), but
- residual code [i] would yield linear OA(361, 66, F3, 42) (dual of [66, 5, 43]-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.