Information on Result #1863546
There is no (24, 31)-sequence in base 2 (for arbitrarily large k), because logical equivalence would yield (24, 31)-sequence in base 2, but
- net from sequence [i] would yield (24, m, 32)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (24, 185, 32)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2185, 32, S2, 6, 161), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1569 275433 846670 190958 947355 801916 604025 588861 116008 628224 / 27 > 2185 [i]
- extracting embedded OOA [i] would yield OOA(2185, 32, S2, 6, 161), but
- m-reduction [i] would yield (24, 185, 32)-net in base 2, 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.