Information on Result #1873067
There is no digital (18, m, 25)-net over F2 with m > ∞, because logical equivalence would yield (18, 25)-sequence in base 2, but
- net from sequence [i] would yield (18, m, 26)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (18, 98, 26)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(298, 26, S2, 4, 80), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 27 888313 205021 046832 927470 518272 / 81 > 298 [i]
- extracting embedded OOA [i] would yield OOA(298, 26, S2, 4, 80), but
- m-reduction [i] would yield (18, 98, 26)-net in base 2, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.