Information on Result #598544
There is no digital (21, 41, 54)-net over F2, because extracting embedded orthogonal array would yield linear OA(241, 54, F2, 20) (dual of [54, 13, 21]-code), but
- adding a parity check bit [i] would yield linear OA(242, 55, F2, 21) (dual of [55, 13, 22]-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 (21, 42, 54)-net over F2 | [i] | m-Reduction | |