Information on Result #598875
There is no digital (124, 252, 259)-net over F2, because extracting embedded orthogonal array would yield linear OA(2252, 259, F2, 128) (dual of [259, 7, 129]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2253, 260, F2, 128) (dual of [260, 7, 129]-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 (124, 253, 259)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (124, 254, 259)-net over F2 | [i] | ||
| 3 | No digital (124, 255, 259)-net over F2 | [i] | ||
| 4 | No digital (124, 256, 259)-net over F2 | [i] | ||
| 5 | No digital (124, 257, 259)-net over F2 | [i] | ||
| 6 | No digital (124, 258, 259)-net over F2 | [i] | ||
| 7 | No digital (124, 259, 259)-net over F2 | [i] | ||
| 8 | No digital (124, 260, 259)-net over F2 | [i] | ||