Information on Result #598537
There is no digital (18, 38, 45)-net over F2, because extracting embedded orthogonal array would yield linear OA(238, 45, F2, 20) (dual of [45, 7, 21]-code), but
- residual code [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- 1 times truncation [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-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 (18, 39, 45)-net over F2 | [i] | m-Reduction | |