Information on Result #598639
There is no digital (59, 123, 128)-net over F2, because extracting embedded orthogonal array would yield linear OA(2123, 128, F2, 64) (dual of [128, 5, 65]-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 (59, 124, 128)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (59, 125, 128)-net over F2 | [i] | ||
| 3 | No digital (59, 126, 128)-net over F2 | [i] | ||
| 4 | No digital (59, 127, 128)-net over F2 | [i] | ||
| 5 | No digital (59, 128, 128)-net over F2 | [i] | ||
| 6 | No digital (59, 129, 128)-net over F2 | [i] | ||
| 7 | No digital (59, 130, 128)-net over F2 | [i] | ||
| 8 | No digital (59, 131, 128)-net over F2 | [i] | ||
| 9 | No digital (59, 132, 128)-net over F2 | [i] | ||
| 10 | No digital (59, 133, 128)-net over F2 | [i] | ||
| 11 | No digital (59, 134, 128)-net over F2 | [i] | ||