Information on Result #598547
There is no digital (22, 42, 63)-net over F2, because extracting embedded orthogonal array would yield linear OA(242, 63, F2, 20) (dual of [63, 21, 21]-code), but
- residual code [i] would yield linear OA(222, 42, F2, 10) (dual of [42, 20, 11]-code), but
- adding a parity check bit [i] would yield linear OA(223, 43, F2, 11) (dual of [43, 20, 12]-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 (22, 43, 63)-net over F2 | [i] | m-Reduction | |