Information on Result #1864021
There is no (0, m, 4)-net in base 3 with m > ∞, because logical equivalence would yield (0, 4)-sequence in base 3, but
- net from sequence [i] would yield (0, m, 5)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (0, 2, 5)-net in base 3, but
- mutually orthogonal hypercube bound [i]
- the generalized Rao bound for nets shows that 3m ≥ 11 > 32 [i]
- m-reduction [i] would yield (0, 2, 5)-net in base 3, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.