Information on Result #599269
There is no digital (80, 236, 255)-net over F3, because extracting embedded orthogonal array would yield linear OA(3236, 255, F3, 156) (dual of [255, 19, 157]-code), but
- residual code [i] would yield OA(380, 98, S3, 52), but
- the linear programming bound shows that M ≥ 341 054785 910915 827613 087262 939178 024688 921005 310349 / 1 990980 656333 > 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, 237, 255)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (80, 238, 255)-net over F3 | [i] | ||