Information on Result #599294
There is no digital (83, 245, 262)-net over F3, because extracting embedded orthogonal array would yield linear OA(3245, 262, F3, 162) (dual of [262, 17, 163]-code), but
- residual code [i] would yield OA(383, 99, S3, 54), but
- the linear programming bound shows that M ≥ 212325 169720 869780 184660 026483 230346 001188 329823 / 51 112831 > 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, 246, 262)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (83, 247, 262)-net over F3 | [i] | ||