Information on Result #3152791
There is no digital (13, 97, 285)-net over F9, because 3 times m-reduction would yield digital (13, 94, 285)-net over F9, but
- extracting embedded orthogonal array [i] would yield linear OA(994, 285, F9, 81) (dual of [285, 191, 82]-code), but
- residual code [i] would yield OA(913, 203, S9, 9), but
- 1 times truncation [i] would yield OA(912, 202, S9, 8), but
- the linear programming bound shows that M ≥ 6 065486 598426 741486 / 21 034639 > 912 [i]
- 1 times truncation [i] would yield OA(912, 202, S9, 8), but
- residual code [i] would yield OA(913, 203, S9, 9), 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.