Information on Result #1873567
There is no digital (7, m, 22)-net over F3 with m > ∞, because logical equivalence would yield (7, 22)-sequence in base 3, but
- net from sequence [i] would yield (7, m, 23)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (7, 35, 23)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(335, 23, S3, 2, 28), but
- the linear programming bound for OOAs shows that M ≥ 1 050995 602043 303294 963563 814764 130877 / 19 578586 921145 663665 > 335 [i]
- extracting embedded OOA [i] would yield OOA(335, 23, S3, 2, 28), but
- m-reduction [i] would yield (7, 35, 23)-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.