Information on Result #1863567
There is no (34, m, 42)-net in base 2 with m > ∞, because logical equivalence would yield (34, 42)-sequence in base 2, but
- net from sequence [i] would yield (34, m, 43)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (34, 208, 43)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2208, 43, S2, 5, 174), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 87211 741538 023920 234213 366675 539576 764085 000878 579732 757476 278272 / 175 > 2208 [i]
- extracting embedded OOA [i] would yield OOA(2208, 43, S2, 5, 174), but
- m-reduction [i] would yield (34, 208, 43)-net in base 2, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.