Information on Result #598635
There is no digital (57, 113, 127)-net over F2, because extracting embedded orthogonal array would yield linear OA(2113, 127, F2, 56) (dual of [127, 14, 57]-code), but
- residual code [i] would yield linear OA(257, 70, F2, 28) (dual of [70, 13, 29]-code), but
- adding a parity check bit [i] would yield linear OA(258, 71, F2, 29) (dual of [71, 13, 30]-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 (57, 114, 127)-net over F2 | [i] | m-Reduction | |