Information on Result #598652
There is no digital (66, 134, 142)-net over F2, because extracting embedded orthogonal array would yield linear OA(2134, 142, F2, 68) (dual of [142, 8, 69]-code), but
- residual code [i] would yield linear OA(266, 73, F2, 34) (dual of [73, 7, 35]-code), but
- “Hel†bound on codes from Brouwer’s database [i]
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 (66, 135, 142)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (66, 136, 142)-net over F2 | [i] | ||
| 3 | No digital (66, 137, 142)-net over F2 | [i] | ||
| 4 | No digital (66, 138, 142)-net over F2 | [i] | ||
| 5 | No digital (66, 139, 142)-net over F2 | [i] | ||
| 6 | No digital (66, 140, 142)-net over F2 | [i] | ||
| 7 | No digital (66, 141, 142)-net over F2 | [i] | ||
| 8 | No digital (66, 142, 142)-net over F2 | [i] | ||
| 9 | No digital (66, 143, 142)-net over F2 | [i] | ||
| 10 | No digital (66, 144, 142)-net over F2 | [i] | ||
| 11 | No digital (66, 145, 142)-net over F2 | [i] | ||
| 12 | No digital (66, 146, 142)-net over F2 | [i] | ||
| 13 | No digital (66, 147, 142)-net over F2 | [i] | ||
| 14 | No digital (66, 148, 142)-net over F2 | [i] | ||
| 15 | No digital (66, 149, 142)-net over F2 | [i] | ||