Information on Result #599623
There is no digital (64, 232, 349)-net over F4, because extracting embedded orthogonal array would yield linear OA(4232, 349, F4, 168) (dual of [349, 117, 169]-code), but
- residual code [i] would yield OA(464, 180, S4, 42), but
- the linear programming bound shows that M ≥ 387317 878288 940952 121032 892106 078533 601878 434569 146042 672353 835001 098548 766344 071344 765591 401529 344000 / 1135 320053 976181 914391 551986 355178 156290 618852 310180 915372 701779 > 464 [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 (64, 233, 349)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 234, 349)-net over F4 | [i] | ||
| 3 | No digital (64, 235, 349)-net over F4 | [i] | ||