Information on Result #3146111
There is no digital (65, 189, 223)-net over F3, because 1 times m-reduction would yield digital (65, 188, 223)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3188, 223, F3, 123) (dual of [223, 35, 124]-code), but
- residual code [i] would yield OA(365, 99, S3, 41), but
- the linear programming bound shows that M ≥ 1 398289 528640 015865 013744 903134 488973 245855 682309 745191 / 125126 745302 260144 143218 > 365 [i]
- residual code [i] would yield OA(365, 99, 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.