Information on Result #1874057
There is no digital (1, m, 9)-net over F4 with m > ∞, because logical equivalence would yield (1, 9)-sequence in base 4, but
- net from sequence [i] would yield (1, m, 10)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (1, 9, 10)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(49, 10, S4, 2, 8), but
- the linear programming bound for OOAs shows that M ≥ 7 340032 / 27 > 49 [i]
- extracting embedded OOA [i] would yield OOA(49, 10, S4, 2, 8), but
- m-reduction [i] would yield (1, 9, 10)-net in base 4, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.