Information on Result #1878318
There is no digital (0, 0+k, 5)-net over F3 for arbitrarily large k, because logical equivalence would yield (0, m, 5)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (0, 2, 5)-net in base 3, but
- mutually orthogonal hypercube bound [i]
- the generalized Rao bound for nets shows that 3m ≥ 11 > 32 [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.