Information on Result #599845
There is no digital (21, 149, 257)-net over F8, because extracting embedded orthogonal array would yield linear OA(8149, 257, F8, 128) (dual of [257, 108, 129]-code), but
- residual code [i] would yield OA(821, 128, S8, 16), but
- the linear programming bound shows that M ≥ 1 008968 613742 170487 095115 575000 563712 / 108734 057573 457133 > 821 [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 (21, 150, 257)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (21, 151, 257)-net over F8 | [i] | ||
| 3 | No digital (21, 152, 257)-net over F8 | [i] | ||
| 4 | No digital (21, 153, 257)-net over F8 | [i] | ||
| 5 | No digital (21, 154, 257)-net over F8 | [i] | ||
| 6 | No digital (21, 155, 257)-net over F8 | [i] | ||
| 7 | No digital (21, 156, 257)-net over F8 | [i] | ||