Information on Result #598641
There is no digital (60, 124, 130)-net over F2, because extracting embedded orthogonal array would yield linear OA(2124, 130, F2, 64) (dual of [130, 6, 65]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2125, 131, F2, 64) (dual of [131, 6, 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 (60, 125, 130)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (60, 126, 130)-net over F2 | [i] | ||
| 3 | No digital (60, 127, 130)-net over F2 | [i] | ||
| 4 | No digital (60, 128, 130)-net over F2 | [i] | ||
| 5 | No digital (60, 129, 130)-net over F2 | [i] | ||
| 6 | No digital (60, 130, 130)-net over F2 | [i] | ||
| 7 | No digital (60, 131, 130)-net over F2 | [i] | ||
| 8 | No digital (60, 132, 130)-net over F2 | [i] | ||
| 9 | No digital (60, 133, 130)-net over F2 | [i] | ||
| 10 | No digital (60, 134, 130)-net over F2 | [i] | ||
| 11 | No digital (60, 135, 130)-net over F2 | [i] | ||
| 12 | No digital (60, 136, 130)-net over F2 | [i] | ||
| 13 | No digital (60, 137, 130)-net over F2 | [i] | ||