Information on Result #1877334
There is no digital (0, 82)-sequence over F81 (for arbitrarily large k), because logical equivalence would yield (0, 82)-sequence in base 81, but
- net from sequence [i] would yield (0, m, 83)-net in base 81 for arbitrarily large m, but
- m-reduction [i] would yield (0, 2, 83)-net in base 81, but
- mutually orthogonal hypercube bound [i]
- the generalized Rao bound for nets shows that 81m ≥ 6641 > 812 [i]
- m-reduction [i] would yield (0, 2, 83)-net in base 81, 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.