Information on Result #599849
There is no digital (22, 150, 295)-net over F8, because extracting embedded orthogonal array would yield linear OA(8150, 295, F8, 128) (dual of [295, 145, 129]-code), but
- residual code [i] would yield OA(822, 166, S8, 16), but
- the linear programming bound shows that M ≥ 26 798659 959530 216996 696935 502970 880000 / 354598 749781 763993 > 822 [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 (22, 151, 295)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (22, 152, 295)-net over F8 | [i] | ||
| 3 | No digital (22, 153, 295)-net over F8 | [i] | ||
| 4 | No digital (22, 154, 295)-net over F8 | [i] | ||
| 5 | No digital (22, 155, 295)-net over F8 | [i] | ||
| 6 | No digital (22, 156, 295)-net over F8 | [i] | ||
| 7 | No digital (22, 157, 295)-net over F8 | [i] | ||