Information on Result #1878368
There is no digital (25, 25+k, 61)-net over F3 for arbitrarily large k, because logical equivalence would yield (25, m, 61)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (25, 239, 61)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3239, 61, S3, 4, 214), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 293 861387 637868 414683 885460 122715 934237 915947 734466 268806 770184 031747 333538 104927 216899 075611 914191 245480 963908 724891 / 215 > 3239 [i]
- extracting embedded OOA [i] would yield OOA(3239, 61, S3, 4, 214), 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.