Information on Result #1853421

There is no (50, m, 789)-net in base 16 for arbitrarily large m, because m-reduction would yield (50, 1575, 789)-net in base 16, 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 (50, 788)-sequence in base 16 [i]Net from Sequence
2No (50, 50+k, 789)-net in base 16 for arbitrarily large k [i]Logical Equivalence (for Nets with Unbounded m)
3No (50, m, 789)-net in base 16 with unbounded m [i]
4No digital (50, 50+k, 789)-net over F16 for arbitrarily large k [i]
5No digital (50, m, 789)-net over F16 with unbounded m [i]