Information on Result #599057
There is no digital (53, 158, 175)-net over F3, because extracting embedded orthogonal array would yield linear OA(3158, 175, F3, 105) (dual of [175, 17, 106]-code), but
- residual code [i] would yield linear OA(353, 69, F3, 35) (dual of [69, 16, 36]-code), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (53, 159, 175)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (53, 160, 175)-net over F3 | [i] | ||