Information on Result #598728
There is no digital (81, 165, 173)-net over F2, because extracting embedded orthogonal array would yield linear OA(2165, 173, F2, 84) (dual of [173, 8, 85]-code), but
- residual code [i] would yield linear OA(281, 88, F2, 42) (dual of [88, 7, 43]-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 (81, 166, 173)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (81, 167, 173)-net over F2 | [i] | ||
| 3 | No digital (81, 168, 173)-net over F2 | [i] | ||
| 4 | No digital (81, 169, 173)-net over F2 | [i] | ||
| 5 | No digital (81, 170, 173)-net over F2 | [i] | ||
| 6 | No digital (81, 171, 173)-net over F2 | [i] | ||
| 7 | No digital (81, 172, 173)-net over F2 | [i] | ||
| 8 | No digital (81, 173, 173)-net over F2 | [i] | ||
| 9 | No digital (81, 174, 173)-net over F2 | [i] | ||
| 10 | No digital (81, 175, 173)-net over F2 | [i] | ||
| 11 | No digital (81, 176, 173)-net over F2 | [i] | ||
| 12 | No digital (81, 177, 173)-net over F2 | [i] | ||
| 13 | No digital (81, 178, 173)-net over F2 | [i] | ||
| 14 | No digital (81, 179, 173)-net over F2 | [i] | ||
| 15 | No digital (81, 180, 173)-net over F2 | [i] | ||
| 16 | No digital (81, 181, 173)-net over F2 | [i] | ||
| 17 | No digital (81, 182, 173)-net over F2 | [i] | ||