Information on Result #599191
There is no digital (70, 211, 223)-net over F3, because extracting embedded orthogonal array would yield linear OA(3211, 223, F3, 141) (dual of [223, 12, 142]-code), but
- residual code [i] would yield OA(370, 81, S3, 47), but
- 1 times truncation [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]
- 1 times truncation [i] would yield OA(369, 80, S3, 46), 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 (70, 212, 223)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (70, 213, 223)-net over F3 | [i] | ||