Information on Result #599689
There is no digital (73, 257, 425)-net over F4, because extracting embedded orthogonal array would yield linear OA(4257, 425, F4, 184) (dual of [425, 168, 185]-code), but
- residual code [i] would yield OA(473, 240, S4, 46), but
- the linear programming bound shows that M ≥ 3081 664986 883081 627986 607924 585409 348828 403557 841996 916067 930922 037066 224815 129884 411985 660277 287813 120000 / 34 388507 451119 783895 235565 346914 908818 017904 036178 247038 198799 > 473 [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 (73, 258, 425)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (73, 259, 425)-net over F4 | [i] | ||
| 3 | No digital (73, 260, 425)-net over F4 | [i] | ||