Information on Result #1877798
There is no digital (1, 1+k, 6)-net over F2 for arbitrarily large k, because logical equivalence would yield (1, m, 6)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (1, 5, 6)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 34 > 25 [i]
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.