Information on Result #599268
There is no digital (80, 233, 259)-net over F3, because extracting embedded orthogonal array would yield linear OA(3233, 259, F3, 153) (dual of [259, 26, 154]-code), but
- residual code [i] would yield OA(380, 105, S3, 51), but
- the linear programming bound shows that M ≥ 19 616630 525054 787027 648895 210370 192777 110899 155889 / 122567 513497 > 380 [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 (80, 234, 259)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (80, 235, 259)-net over F3 | [i] | ||