Information on Result #599049
There is no digital (52, 154, 175)-net over F3, because extracting embedded orthogonal array 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]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (52, 155, 175)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (52, 156, 175)-net over F3 | [i] | ||