Information on Result #1868334
There is no (35, 35+k, 44)-net in base 2 for arbitrarily large k, because logical equivalence would yield (35, m, 44)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (35, 213, 44)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2213, 44, S2, 5, 178), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2 738119 583382 486854 145868 719775 431240 291272 480414 276892 612085 415936 / 179 > 2213 [i]
- extracting embedded OOA [i] would yield OOA(2213, 44, S2, 5, 178), 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.