Information on Result #3144872
There is no digital (51, 140, 234)-net over F3, because 2 times m-reduction would yield digital (51, 138, 234)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3138, 234, F3, 87) (dual of [234, 96, 88]-code), but
- residual code [i] would yield OA(351, 146, S3, 29), but
- the linear programming bound shows that M ≥ 5126 774601 249175 366045 349858 741246 206423 340601 352320 / 2311 172455 881906 807675 878437 > 351 [i]
- residual code [i] would yield OA(351, 146, S3, 29), 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.