Information on Result #1868306
There is no (21, 21+k, 29)-net in base 2 for arbitrarily large k, because logical equivalence would yield (21, m, 29)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (21, 138, 29)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2138, 29, S2, 5, 117), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 24 391440 060892 869061 054691 860709 145397 166080 / 59 > 2138 [i]
- extracting embedded OOA [i] would yield OOA(2138, 29, S2, 5, 117), 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.