Information on Result #598613
There is no digital (45, 91, 101)-net over F2, because extracting embedded orthogonal array would yield linear OA(291, 101, F2, 46) (dual of [101, 10, 47]-code), but
- adding a parity check bit [i] would yield linear OA(292, 102, F2, 47) (dual of [102, 10, 48]-code), but
- “Bro†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 (45, 92, 101)-net over F2 | [i] | m-Reduction | |