Information on Result #599144
There is no digital (64, 190, 206)-net over F3, because extracting embedded orthogonal array would yield linear OA(3190, 206, F3, 126) (dual of [206, 16, 127]-code), but
- residual code [i] would yield OA(364, 79, S3, 42), but
- the linear programming bound shows that M ≥ 1127 088319 766791 916099 558651 458916 971683 / 304 050635 > 364 [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 (64, 191, 206)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (64, 192, 206)-net over F3 | [i] | ||