Information on Result #599620
There is no digital (64, 220, 410)-net over F4, because extracting embedded orthogonal array would yield linear OA(4220, 410, F4, 156) (dual of [410, 190, 157]-code), but
- residual code [i] would yield OA(464, 253, S4, 39), but
- the linear programming bound shows that M ≥ 87 990315 499933 092747 998978 965173 866430 179588 697159 392509 031688 470188 023139 532800 / 245601 782466 451850 219515 982198 351916 865117 > 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, 221, 410)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 222, 410)-net over F4 | [i] | ||
| 3 | No digital (64, 223, 410)-net over F4 | [i] | ||