Information on Result #599858
There is no digital (26, 170, 389)-net over F8, because extracting embedded orthogonal array would yield linear OA(8170, 389, F8, 144) (dual of [389, 219, 145]-code), but
- residual code [i] would yield OA(826, 244, S8, 18), but
- the linear programming bound shows that M ≥ 377080 730326 957484 118808 951055 960692 370282 905600 / 1 205370 411814 620505 759077 > 826 [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 (26, 171, 389)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (26, 172, 389)-net over F8 | [i] | ||
| 3 | No digital (26, 173, 389)-net over F8 | [i] | ||