Information on Result #1873555
There is no digital (1, m, 7)-net over F3 with m > ∞, because logical equivalence would yield (1, 7)-sequence in base 3, but
- net from sequence [i] would yield (1, m, 8)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (1, 7, 8)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(37, 8, S3, 2, 6), but
- the linear programming bound for OOAs shows that M ≥ 111537 / 49 > 37 [i]
- extracting embedded OOA [i] would yield OOA(37, 8, S3, 2, 6), but
- m-reduction [i] would yield (1, 7, 8)-net in base 3, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.