Information on Result #1855689

There is no (68, m, 5603)-net in base 81 for arbitrarily large m, because m-reduction would yield (68, 11203, 5603)-net in base 81, but

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:

ResultThis
result
only
Method
1No (68, 5602)-sequence in base 81 [i]Net from Sequence
2No (68, 68+k, 5603)-net in base 81 for arbitrarily large k [i]Logical Equivalence (for Nets with Unbounded m)
3No (68, m, 5603)-net in base 81 with unbounded m [i]
4No digital (68, 68+k, 5603)-net over F81 for arbitrarily large k [i]
5No digital (68, m, 5603)-net over F81 with unbounded m [i]