Information on Result #598605
There is no digital (42, 86, 94)-net over F2, because extracting embedded orthogonal array would yield linear OA(286, 94, F2, 44) (dual of [94, 8, 45]-code), but
- adding a parity check bit [i] would yield linear OA(287, 95, F2, 45) (dual of [95, 8, 46]-code), but
- “DHM†bound on codes from Brouwer’s database [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 (42, 87, 94)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (42, 88, 94)-net over F2 | [i] | ||
| 3 | No digital (42, 89, 94)-net over F2 | [i] | ||
| 4 | No digital (42, 90, 94)-net over F2 | [i] | ||
| 5 | No digital (42, 91, 94)-net over F2 | [i] | ||
| 6 | No digital (42, 92, 94)-net over F2 | [i] | ||
| 7 | No digital (42, 93, 94)-net over F2 | [i] | ||
| 8 | No digital (42, 94, 94)-net over F2 | [i] | ||
| 9 | No digital (42, 95, 94)-net over F2 | [i] | ||