Information on Result #1856171
There is no (1, m, 6)-net in base 2 for arbitrarily large m, because m-reduction would yield (1, 5, 6)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 34 > 25 [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 (1, 5)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (1, 1+k, 6)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (1, m, 6)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (1, 1+k, 6)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (1, m, 6)-net over F2 with unbounded m | [i] | ||