Information on Result #598715
There is no digital (78, 158, 166)-net over F2, because extracting embedded orthogonal array would yield linear OA(2158, 166, F2, 80) (dual of [166, 8, 81]-code), but
- residual code [i] would yield linear OA(278, 85, F2, 40) (dual of [85, 7, 41]-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 (78, 159, 166)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (78, 160, 166)-net over F2 | [i] | ||
| 3 | No digital (78, 161, 166)-net over F2 | [i] | ||
| 4 | No digital (78, 162, 166)-net over F2 | [i] | ||
| 5 | No digital (78, 163, 166)-net over F2 | [i] | ||
| 6 | No digital (78, 164, 166)-net over F2 | [i] | ||
| 7 | No digital (78, 165, 166)-net over F2 | [i] | ||
| 8 | No digital (78, 166, 166)-net over F2 | [i] | ||
| 9 | No digital (78, 167, 166)-net over F2 | [i] | ||
| 10 | No digital (78, 168, 166)-net over F2 | [i] | ||
| 11 | No digital (78, 169, 166)-net over F2 | [i] | ||
| 12 | No digital (78, 170, 166)-net over F2 | [i] | ||
| 13 | No digital (78, 171, 166)-net over F2 | [i] | ||
| 14 | No digital (78, 172, 166)-net over F2 | [i] | ||
| 15 | No digital (78, 173, 166)-net over F2 | [i] | ||
| 16 | No digital (78, 174, 166)-net over F2 | [i] | ||
| 17 | No digital (78, 175, 166)-net over F2 | [i] | ||
| 18 | No digital (78, 176, 166)-net over F2 | [i] | ||
| 19 | No digital (78, 177, 166)-net over F2 | [i] | ||