Information on Result #598545
There is no digital (21, 43, 52)-net over F2, because extracting embedded orthogonal array would yield linear OA(243, 52, F2, 22) (dual of [52, 9, 23]-code), but
- adding a parity check bit [i] would yield linear OA(244, 53, F2, 23) (dual of [53, 9, 24]-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 (21, 44, 52)-net over F2 | [i] | m-Reduction | |