Information on Result #1877150
There is no digital (0, 65)-sequence over F64 (for arbitrarily large k), because logical equivalence would yield (0, 65)-sequence in base 64, but
- net from sequence [i] would yield (0, m, 66)-net in base 64 for arbitrarily large m, but
- m-reduction [i] would yield (0, 2, 66)-net in base 64, but
- mutually orthogonal hypercube bound [i]
- the generalized Rao bound for nets shows that 64m ≥ 4159 > 642 [i]
- m-reduction [i] would yield (0, 2, 66)-net in base 64, but
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.