Information on Result #599182
There is no digital (69, 204, 223)-net over F3, because extracting embedded orthogonal array would yield linear OA(3204, 223, F3, 135) (dual of [223, 19, 136]-code), but
- residual code [i] would yield OA(369, 87, S3, 45), but
- the linear programming bound shows that M ≥ 60 677445 989371 388018 255266 871453 026648 079313 / 55230 725056 > 369 [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 (69, 205, 223)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (69, 206, 223)-net over F3 | [i] | ||