Information on Result #599183
There is no digital (69, 207, 219)-net over F3, because extracting embedded orthogonal array would yield linear OA(3207, 219, F3, 138) (dual of [219, 12, 139]-code), but
- residual code [i] would yield OA(369, 80, S3, 46), but
- the linear programming bound shows that M ≥ 904 357542 932493 278414 499056 136998 127663 / 977647 > 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, 208, 219)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (69, 209, 219)-net over F3 | [i] | ||