Information on Result #599842
There is no digital (20, 148, 229)-net over F8, because extracting embedded orthogonal array would yield linear OA(8148, 229, F8, 128) (dual of [229, 81, 129]-code), but
- residual code [i] would yield OA(820, 100, S8, 16), but
- the linear programming bound shows that M ≥ 766 916854 670851 025894 998613 688320 / 621 810617 698353 > 820 [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 (20, 149, 229)-net over F8 | [i] | m-Reduction | |
| 2 | No digital (20, 150, 229)-net over F8 | [i] | ||
| 3 | No digital (20, 151, 229)-net over F8 | [i] | ||
| 4 | No digital (20, 152, 229)-net over F8 | [i] | ||
| 5 | No digital (20, 153, 229)-net over F8 | [i] | ||
| 6 | No digital (20, 154, 229)-net over F8 | [i] | ||
| 7 | No digital (20, 155, 229)-net over F8 | [i] | ||