Information on Result #1856205
There is no (35, m, 44)-net in base 2 for arbitrarily large m, because m-reduction would yield (35, 213, 44)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2213, 44, S2, 5, 178), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2 738119 583382 486854 145868 719775 431240 291272 480414 276892 612085 415936 / 179 > 2213 [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 (35, 43)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (35, 35+k, 44)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (35, m, 44)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (35, 35+k, 44)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (35, m, 44)-net over F2 with unbounded m | [i] | ||