Information on Result #598709
There is no digital (77, 157, 164)-net over F2, because extracting embedded orthogonal array would yield linear OA(2157, 164, F2, 80) (dual of [164, 7, 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 (77, 158, 164)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (77, 159, 164)-net over F2 | [i] | ||
| 3 | No digital (77, 160, 164)-net over F2 | [i] | ||
| 4 | No digital (77, 161, 164)-net over F2 | [i] | ||
| 5 | No digital (77, 162, 164)-net over F2 | [i] | ||
| 6 | No digital (77, 163, 164)-net over F2 | [i] | ||
| 7 | No digital (77, 164, 164)-net over F2 | [i] | ||
| 8 | No digital (77, 165, 164)-net over F2 | [i] | ||
| 9 | No digital (77, 166, 164)-net over F2 | [i] | ||
| 10 | No digital (77, 167, 164)-net over F2 | [i] | ||
| 11 | No digital (77, 168, 164)-net over F2 | [i] | ||
| 12 | No digital (77, 169, 164)-net over F2 | [i] | ||
| 13 | No digital (77, 170, 164)-net over F2 | [i] | ||
| 14 | No digital (77, 171, 164)-net over F2 | [i] | ||
| 15 | No digital (77, 172, 164)-net over F2 | [i] | ||
| 16 | No digital (77, 173, 164)-net over F2 | [i] | ||
| 17 | No digital (77, 174, 164)-net over F2 | [i] | ||