Information on Result #1868338
There is no (37, 37+k, 46)-net in base 2 for arbitrarily large k, because logical equivalence would yield (37, m, 46)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (37, 223, 46)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2223, 46, S2, 5, 186), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2695 994666 715063 979466 701508 701963 067363 714442 254057 248110 361024 921600 / 187 > 2223 [i]
- extracting embedded OOA [i] would yield OOA(2223, 46, S2, 5, 186), 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.