Information on Result #3146113
There is no digital (65, 192, 213)-net over F3, because 1 times m-reduction would yield digital (65, 191, 213)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3191, 213, F3, 126) (dual of [213, 22, 127]-code), but
- residual code [i] would yield OA(365, 86, S3, 42), but
- the linear programming bound shows that M ≥ 105639 517822 541973 415942 878050 095499 770611 / 8844 615395 > 365 [i]
- residual code [i] would yield OA(365, 86, S3, 42), 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.