Information on Result #1874595
There is no digital (9, m, 48)-net over F5 with m > ∞, because logical equivalence would yield (9, 48)-sequence in base 5, but
- net from sequence [i] would yield (9, m, 49)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (9, 95, 49)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(595, 49, S5, 2, 86), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 239 813715 187187 588845 165483 845967 013820 654756 273142 993450 164794 921875 / 87 > 595 [i]
- extracting embedded OOA [i] would yield OOA(595, 49, S5, 2, 86), but
- m-reduction [i] would yield (9, 95, 49)-net in base 5, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.