Information on Result #598824
There is no digital (99, 189, 239)-net over F2, because extracting embedded orthogonal array would yield linear OA(2189, 239, F2, 90) (dual of [239, 50, 91]-code), but
- residual code [i] would yield OA(299, 148, S2, 45), but
- 1 times truncation [i] would yield OA(298, 147, S2, 44), but
- the linear programming bound shows that M ≥ 386 271048 917458 443577 540946 323578 953396 125696 / 1194 549431 128209 > 298 [i]
- 1 times truncation [i] would yield OA(298, 147, S2, 44), 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 (99, 190, 239)-net over F2 | [i] | m-Reduction | |