Information on Result #1873052
There is no digital (11, 17)-sequence over F2 (for arbitrarily large k), because logical equivalence would yield (11, 17)-sequence in base 2, but
- net from sequence [i] would yield (11, m, 18)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (11, 67, 18)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(267, 18, S2, 4, 56), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2951 479051 793528 258560 / 19 > 267 [i]
- extracting embedded OOA [i] would yield OOA(267, 18, S2, 4, 56), but
- m-reduction [i] would yield (11, 67, 18)-net in base 2, but
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.