Information on Result #598840
There is no digital (104, 202, 234)-net over F2, because extracting embedded orthogonal array would yield linear OA(2202, 234, F2, 98) (dual of [234, 32, 99]-code), but
- residual code [i] would yield OA(2104, 135, S2, 49), but
- 1 times truncation [i] would yield OA(2103, 134, S2, 48), but
- the linear programming bound shows that M ≥ 14817 140394 002966 911489 108655 371959 926784 / 1391 278625 > 2103 [i]
- 1 times truncation [i] would yield OA(2103, 134, S2, 48), 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 (104, 203, 234)-net over F2 | [i] | m-Reduction | |