Information on Result #1873085
There is no digital (27, m, 34)-net over F2 with m > ∞, because logical equivalence would yield (27, 34)-sequence in base 2, but
- net from sequence [i] would yield (27, m, 35)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (27, 203, 35)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2203, 35, S2, 6, 176), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 797 041269 952459 176668 813197 801216 650851 012684 916265 246309 482496 / 59 > 2203 [i]
- extracting embedded OOA [i] would yield OOA(2203, 35, S2, 6, 176), but
- m-reduction [i] would yield (27, 203, 35)-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.