Information on Result #1868325
There is no (30, m, 39)-net in base 2 with unbounded m, because logical equivalence would yield (30, m, 39)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (30, 187, 39)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2187, 39, S2, 5, 157), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 19615 942923 083377 386986 841947 523957 550319 860763 950107 852800 / 79 > 2187 [i]
- extracting embedded OOA [i] would yield OOA(2187, 39, S2, 5, 157), but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.