Information on Result #1867506
There is no (0, 50)-sequence in base 49 (for arbitrarily large k), because logical equivalence would yield (0, 50)-sequence in base 49, but
- net from sequence [i] 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]
- m-reduction [i] would yield (0, 2, 51)-net in base 49, but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.