Information on Result #1868342
There is no (39, 39+k, 48)-net in base 2 for arbitrarily large k, because logical equivalence would yield (39, m, 48)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (39, 280, 48)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2280, 48, S2, 6, 241), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 310 827022 756116 651347 113905 091763 025062 785094 248342 323400 289985 558224 685632 833359 708160 / 121 > 2280 [i]
- extracting embedded OOA [i] would yield OOA(2280, 48, S2, 6, 241), but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.