Information on Result #598722
There is no digital (80, 160, 171)-net over F2, because extracting embedded orthogonal array would yield linear OA(2160, 171, F2, 80) (dual of [171, 11, 81]-code), but
- residual code [i] would yield linear OA(280, 90, F2, 40) (dual of [90, 10, 41]-code), but
- residual code [i] would yield linear OA(240, 49, F2, 20) (dual of [49, 9, 21]-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 (80, 161, 171)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (80, 162, 171)-net over F2 | [i] | ||
| 3 | No digital (80, 163, 171)-net over F2 | [i] | ||
| 4 | No digital (80, 164, 171)-net over F2 | [i] | ||
| 5 | No digital (80, 165, 171)-net over F2 | [i] | ||
| 6 | No digital (80, 166, 171)-net over F2 | [i] | ||
| 7 | No digital (80, 167, 171)-net over F2 | [i] | ||
| 8 | No digital (80, 168, 171)-net over F2 | [i] | ||
| 9 | No digital (80, 169, 171)-net over F2 | [i] | ||
| 10 | No digital (80, 170, 171)-net over F2 | [i] | ||
| 11 | No digital (80, 171, 171)-net over F2 | [i] | ||
| 12 | No digital (80, 172, 171)-net over F2 | [i] | ||
| 13 | No digital (80, 173, 171)-net over F2 | [i] | ||
| 14 | No digital (80, 174, 171)-net over F2 | [i] | ||
| 15 | No digital (80, 175, 171)-net over F2 | [i] | ||
| 16 | No digital (80, 176, 171)-net over F2 | [i] | ||
| 17 | No digital (80, 177, 171)-net over F2 | [i] | ||
| 18 | No digital (80, 178, 171)-net over F2 | [i] | ||
| 19 | No digital (80, 179, 171)-net over F2 | [i] | ||