Information on Result #1878322
There is no digital (2, 2+k, 10)-net over F3 for arbitrarily large k, because logical equivalence would yield (2, m, 10)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (2, 13, 10)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(313, 10, S3, 3, 11), but
- the linear programming bound for OOAs shows that M ≥ 18 068994 / 11 > 313 [i]
- extracting embedded OOA [i] would yield OOA(313, 10, S3, 3, 11), but
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.