Information on Result #598629
There is no digital (53, 105, 118)-net over F2, because extracting embedded orthogonal array would yield linear OA(2105, 118, F2, 52) (dual of [118, 13, 53]-code), but
- adding a parity check bit [i] would yield linear OA(2106, 119, F2, 53) (dual of [119, 13, 54]-code), but
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 (53, 106, 118)-net over F2 | [i] | m-Reduction | |