Information on Result #3150553
There is no digital (33, 146, 269)-net over F5, because 3 times m-reduction would yield digital (33, 143, 269)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(5143, 269, F5, 110) (dual of [269, 126, 111]-code), but
- residual code [i] would yield OA(533, 158, S5, 22), but
- the linear programming bound shows that M ≥ 8138 155868 573527 404198 089602 172374 725341 796875 / 64473 857393 675955 668371 > 533 [i]
- residual code [i] would yield OA(533, 158, S5, 22), 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.