Information on Result #598574
There is no digital (31, 57, 97)-net over F2, because extracting embedded orthogonal array would yield linear OA(257, 97, F2, 26) (dual of [97, 40, 27]-code), but
- adding a parity check bit [i] would yield linear OA(258, 98, F2, 27) (dual of [98, 40, 28]-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 (31, 58, 97)-net over F2 | [i] | m-Reduction | |