Information on Result #599109
There is no digital (60, 174, 209)-net over F3, because extracting embedded orthogonal array would yield linear OA(3174, 209, F3, 114) (dual of [209, 35, 115]-code), but
- residual code [i] would yield OA(360, 94, S3, 38), but
- the linear programming bound shows that M ≥ 132 944288 351905 684103 161899 822708 298724 029601 023671 / 2537 510710 702022 341000 > 360 [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 (60, 175, 209)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (60, 176, 209)-net over F3 | [i] | ||