Information on Result #598554
There is no digital (24, 48, 56)-net over F2, because extracting embedded orthogonal array would yield linear OA(248, 56, F2, 24) (dual of [56, 8, 25]-code), but
- adding a parity check bit [i] would yield linear OA(249, 57, F2, 25) (dual of [57, 8, 26]-code), but
- “BJV†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 (24, 49, 56)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (24, 50, 56)-net over F2 | [i] | ||
| 3 | No digital (24, 51, 56)-net over F2 | [i] | ||
| 4 | No digital (24, 52, 56)-net over F2 | [i] | ||
| 5 | No digital (24, 53, 56)-net over F2 | [i] | ||
| 6 | No digital (24, 54, 56)-net over F2 | [i] | ||
| 7 | No digital (24, 55, 56)-net over F2 | [i] | ||
| 8 | No digital (24, 56, 56)-net over F2 | [i] | ||
| 9 | No digital (24, 57, 56)-net over F2 | [i] | ||