Information on Result #598576
There is no digital (31, 63, 71)-net over F2, because extracting embedded orthogonal array would yield linear OA(263, 71, F2, 32) (dual of [71, 8, 33]-code), but
- residual code [i] would yield linear OA(231, 38, F2, 16) (dual of [38, 7, 17]-code), but
- residual code [i] would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- residual code [i] would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-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 (31, 64, 71)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (31, 65, 71)-net over F2 | [i] | ||
| 3 | No digital (31, 66, 71)-net over F2 | [i] | ||
| 4 | No digital (31, 67, 71)-net over F2 | [i] | ||
| 5 | No digital (31, 68, 71)-net over F2 | [i] | ||
| 6 | No digital (31, 69, 71)-net over F2 | [i] | ||
| 7 | No digital (31, 70, 71)-net over F2 | [i] | ||
| 8 | No digital (31, 71, 71)-net over F2 | [i] | ||
| 9 | No digital (31, 72, 71)-net over F2 | [i] | ||