Information on Result #1881805
There is no digital (0, m, 51)-net over F49 with unbounded m, because logical equivalence would yield (0, m, 51)-net in base 49 for arbitrarily large m, but
- m-reduction [i] would yield (0, 2, 51)-net in base 49, but
- mutually orthogonal hypercube bound [i]
- the generalized Rao bound for nets shows that 49m ≥ 2449 > 492 [i]
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.