Information on Result #1877905
There is no digital (54, m, 63)-net over F2 with unbounded m, because logical equivalence would yield (54, m, 63)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (54, 433, 63)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2433, 63, S2, 7, 379), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2 140501 003861 269071 594535 750158 460619 052929 422190 130396 031610 236234 487649 625942 980986 860241 512395 754291 186014 862203 557451 968049 840128 / 95 > 2433 [i]
- extracting embedded OOA [i] would yield OOA(2433, 63, S2, 7, 379), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.