Information on Result #1854297

There is no (48, m, 1306)-net in base 27 for arbitrarily large m, because m-reduction would yield (48, 2609, 1306)-net in base 27, 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 (48, 1305)-sequence in base 27 [i]Net from Sequence
2No (48, 48+k, 1306)-net in base 27 for arbitrarily large k [i]Logical Equivalence (for Nets with Unbounded m)
3No (48, m, 1306)-net in base 27 with unbounded m [i]
4No digital (48, 48+k, 1306)-net over F27 for arbitrarily large k [i]
5No digital (48, m, 1306)-net over F27 with unbounded m [i]