Information on Result #598650
There is no digital (65, 131, 140)-net over F2, because extracting embedded orthogonal array would yield linear OA(2131, 140, F2, 66) (dual of [140, 9, 67]-code), but
- residual code [i] would yield linear OA(265, 73, F2, 33) (dual of [73, 8, 34]-code), but
- “BJV†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 (65, 132, 140)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (65, 133, 140)-net over F2 | [i] | ||
| 3 | No digital (65, 134, 140)-net over F2 | [i] | ||
| 4 | No digital (65, 135, 140)-net over F2 | [i] | ||
| 5 | No digital (65, 136, 140)-net over F2 | [i] | ||
| 6 | No digital (65, 137, 140)-net over F2 | [i] | ||
| 7 | No digital (65, 138, 140)-net over F2 | [i] | ||
| 8 | No digital (65, 139, 140)-net over F2 | [i] | ||
| 9 | No digital (65, 140, 140)-net over F2 | [i] | ||
| 10 | No digital (65, 141, 140)-net over F2 | [i] | ||
| 11 | No digital (65, 142, 140)-net over F2 | [i] | ||
| 12 | No digital (65, 143, 140)-net over F2 | [i] | ||
| 13 | No digital (65, 144, 140)-net over F2 | [i] | ||
| 14 | No digital (65, 145, 140)-net over F2 | [i] | ||
| 15 | No digital (65, 146, 140)-net over F2 | [i] | ||
| 16 | No digital (65, 147, 140)-net over F2 | [i] | ||
| 17 | No digital (65, 148, 140)-net over F2 | [i] | ||