Information on Result #599143
There is no digital (64, 187, 213)-net over F3, because extracting embedded orthogonal array would yield linear OA(3187, 213, F3, 123) (dual of [213, 26, 124]-code), but
- residual code [i] would yield OA(364, 89, S3, 41), but
- the linear programming bound shows that M ≥ 270 344305 793094 767616 866429 490879 306189 053619 / 74 160889 643750 > 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, 188, 213)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (64, 189, 213)-net over F3 | [i] | ||