Information on Result #598634
There is no digital (56, 112, 123)-net over F2, because extracting embedded orthogonal array would yield linear OA(2112, 123, F2, 56) (dual of [123, 11, 57]-code), but
- residual code [i] would yield linear OA(256, 66, F2, 28) (dual of [66, 10, 29]-code), but
- adding a parity check bit [i] would yield linear OA(257, 67, F2, 29) (dual of [67, 10, 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 (56, 113, 123)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (56, 114, 123)-net over F2 | [i] | ||
| 3 | No digital (56, 115, 123)-net over F2 | [i] | ||
| 4 | No digital (56, 116, 123)-net over F2 | [i] | ||
| 5 | No digital (56, 117, 123)-net over F2 | [i] | ||
| 6 | No digital (56, 118, 123)-net over F2 | [i] | ||
| 7 | No digital (56, 119, 123)-net over F2 | [i] | ||
| 8 | No digital (56, 120, 123)-net over F2 | [i] | ||
| 9 | No digital (56, 121, 123)-net over F2 | [i] | ||
| 10 | No digital (56, 122, 123)-net over F2 | [i] | ||
| 11 | No digital (56, 123, 123)-net over F2 | [i] | ||
| 12 | No digital (56, 124, 123)-net over F2 | [i] | ||
| 13 | No digital (56, 125, 123)-net over F2 | [i] | ||