Information on Result #598739
There is no digital (83, 165, 183)-net over F2, because extracting embedded orthogonal array would yield linear OA(2165, 183, F2, 82) (dual of [183, 18, 83]-code), but
- residual code [i] would yield OA(283, 100, S2, 41), but
- 1 times truncation [i] would yield OA(282, 99, S2, 40), but
- the linear programming bound shows that M ≥ 9903 520314 283042 199192 993792 / 1885 > 282 [i]
- 1 times truncation [i] would yield OA(282, 99, S2, 40), 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 (83, 166, 183)-net over F2 | [i] | m-Reduction |