Information on Result #598698
There is no digital (75, 155, 161)-net over F2, because extracting embedded orthogonal array would yield linear OA(2155, 161, F2, 80) (dual of [161, 6, 81]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2156, 162, F2, 80) (dual of [162, 6, 81]-code), but
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 (75, 156, 161)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (75, 157, 161)-net over F2 | [i] | ||
| 3 | No digital (75, 158, 161)-net over F2 | [i] | ||
| 4 | No digital (75, 159, 161)-net over F2 | [i] | ||
| 5 | No digital (75, 160, 161)-net over F2 | [i] | ||
| 6 | No digital (75, 161, 161)-net over F2 | [i] | ||
| 7 | No digital (75, 162, 161)-net over F2 | [i] | ||
| 8 | No digital (75, 163, 161)-net over F2 | [i] | ||
| 9 | No digital (75, 164, 161)-net over F2 | [i] | ||
| 10 | No digital (75, 165, 161)-net over F2 | [i] | ||
| 11 | No digital (75, 166, 161)-net over F2 | [i] | ||
| 12 | No digital (75, 167, 161)-net over F2 | [i] | ||
| 13 | No digital (75, 168, 161)-net over F2 | [i] | ||