Information on Result #1863551
There is no (26, m, 33)-net in base 2 with m > ∞, because logical equivalence would yield (26, 33)-sequence in base 2, but
- net from sequence [i] would yield (26, m, 34)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (26, 197, 34)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2197, 34, S2, 6, 171), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 9 440761 010021 567868 809027 292504 330289 817942 588473 907907 395584 / 43 > 2197 [i]
- extracting embedded OOA [i] would yield OOA(2197, 34, S2, 6, 171), but
- m-reduction [i] would yield (26, 197, 34)-net in base 2, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.