Information on Result #599522
There is no digital (53, 209, 230)-net over F4, because extracting embedded orthogonal array would yield linear OA(4209, 230, F4, 156) (dual of [230, 21, 157]-code), but
- residual code [i] would yield OA(453, 73, S4, 39), but
- the linear programming bound shows that M ≥ 498171 059023 261286 907602 843617 753170 968576 / 5511 193875 > 453 [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 (53, 210, 230)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (53, 211, 230)-net over F4 | [i] | ||
| 3 | No digital (53, 212, 230)-net over F4 | [i] | ||