Information on Result #1856204
There is no (34, m, 43)-net in base 2 for arbitrarily large m, because m-reduction would yield (34, 208, 43)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2208, 43, S2, 5, 174), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 87211 741538 023920 234213 366675 539576 764085 000878 579732 757476 278272 / 175 > 2208 [i]
Mode: Bound.
Optimality
Show details for fixed 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 (34, 42)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (34, 34+k, 43)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (34, m, 43)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (34, 34+k, 43)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (34, m, 43)-net over F2 with unbounded m | [i] | ||