Information on Result #3144980
There is no digital (52, 155, 175)-net over F3, because 1 times m-reduction would yield digital (52, 154, 175)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3154, 175, F3, 102) (dual of [175, 21, 103]-code), but
- residual code [i] would yield OA(352, 72, S3, 34), but
- the linear programming bound shows that M ≥ 23373 085764 731132 483065 978750 735767 / 2987 457005 > 352 [i]
- residual code [i] would yield OA(352, 72, S3, 34), 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.