Information on Result #598557
There is no digital (25, 51, 59)-net over F2, because extracting embedded orthogonal array would yield linear OA(251, 59, F2, 26) (dual of [59, 8, 27]-code), but
- adding a parity check bit [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-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 (25, 52, 59)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (25, 53, 59)-net over F2 | [i] | ||
| 3 | No digital (25, 54, 59)-net over F2 | [i] | ||
| 4 | No digital (25, 55, 59)-net over F2 | [i] | ||
| 5 | No digital (25, 56, 59)-net over F2 | [i] | ||
| 6 | No digital (25, 57, 59)-net over F2 | [i] | ||
| 7 | No digital (25, 58, 59)-net over F2 | [i] | ||