Information on Result #598675
There is no digital (72, 136, 191)-net over F2, because extracting embedded orthogonal array would yield linear OA(2136, 191, F2, 64) (dual of [191, 55, 65]-code), but
- residual code [i] would yield OA(272, 126, S2, 32), but
- the linear programming bound shows that M ≥ 163 005211 721460 055257 870637 096174 404209 999872 / 34370 163308 084940 061297 > 272 [i]
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 (72, 137, 191)-net over F2 | [i] | m-Reduction | |