Information on Result #599516
There is no digital (52, 208, 221)-net over F4, because extracting embedded orthogonal array would yield linear OA(4208, 221, F4, 156) (dual of [221, 13, 157]-code), but
- residual code [i] would yield OA(452, 64, S4, 39), but
- the linear programming bound shows that M ≥ 2 533840 866964 995882 722882 208659 406848 / 104975 > 452 [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 (52, 209, 221)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (52, 210, 221)-net over F4 | [i] | ||
| 3 | No digital (52, 211, 221)-net over F4 | [i] | ||