Information on Result #599908
There is no digital (5, 69, 159)-net over F16, because extracting embedded orthogonal array would yield linear OA(1669, 159, F16, 64) (dual of [159, 90, 65]-code), but
- residual code [i] would yield OA(165, 94, S16, 4), but
- the linear programming bound shows that M ≥ 2179 760128 / 2071 > 165 [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 (5, 70, 159)-net over F16 | [i] | m-Reduction | |
| 2 | No digital (5, 71, 159)-net over F16 | [i] | ||
| 3 | No digital (5, 72, 159)-net over F16 | [i] | ||
| 4 | No digital (5, 73, 159)-net over F16 | [i] | ||
| 5 | No digital (5, 74, 159)-net over F16 | [i] | ||
| 6 | No digital (5, 75, 159)-net over F16 | [i] | ||