Information on Result #599085
There is no digital (57, 165, 201)-net over F3, because extracting embedded orthogonal array would yield linear OA(3165, 201, F3, 108) (dual of [201, 36, 109]-code), but
- residual code [i] would yield OA(357, 92, S3, 36), but
- the linear programming bound shows that M ≥ 120 721890 049904 553965 455860 898229 550534 869060 685567 / 70191 477994 212742 316032 > 357 [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 (57, 166, 201)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (57, 167, 201)-net over F3 | [i] | ||