Information on Result #598610
There is no digital (44, 88, 98)-net over F2, because extracting embedded orthogonal array would yield linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), but
- adding a parity check bit [i] would yield linear OA(289, 99, F2, 45) (dual of [99, 10, 46]-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 (44, 89, 98)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (44, 90, 98)-net over F2 | [i] | ||
| 3 | No digital (44, 91, 98)-net over F2 | [i] | ||