Information on Result #599676
There is no digital (70, 254, 376)-net over F4, because extracting embedded orthogonal array would yield linear OA(4254, 376, F4, 184) (dual of [376, 122, 185]-code), but
- residual code [i] would yield OA(470, 191, S4, 46), but
- the linear programming bound shows that M ≥ 30669 687295 767807 163249 547418 721993 874758 654208 012151 612633 672044 408069 277192 616104 296206 434138 576650 240000 / 20720 048409 770029 043765 568578 931955 503324 140138 849174 037831 490849 > 470 [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 (70, 255, 376)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (70, 256, 376)-net over F4 | [i] | ||
| 3 | No digital (70, 257, 376)-net over F4 | [i] | ||