Information on Result #599285
There is no digital (82, 241, 261)-net over F3, because extracting embedded orthogonal array would yield linear OA(3241, 261, F3, 159) (dual of [261, 20, 160]-code), but
- residual code [i] would yield OA(382, 101, S3, 53), but
- the linear programming bound shows that M ≥ 10993 355000 871367 562211 653536 372020 125189 985096 / 6 532165 > 382 [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 (82, 242, 261)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (82, 243, 261)-net over F3 | [i] | ||