Information on Result #599295
There is no digital (83, 248, 261)-net over F3, because extracting embedded orthogonal array would yield linear OA(3248, 261, F3, 165) (dual of [261, 13, 166]-code), but
- residual code [i] would yield OA(383, 95, S3, 55), but
- the linear programming bound shows that M ≥ 648 778625 227853 290324 593879 307770 065609 747709 / 118144 > 383 [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 (83, 249, 261)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (83, 250, 261)-net over F3 | [i] | ||