Information on Result #1873050
There is no digital (10, 16)-sequence over F2 (for arbitrarily large k), because logical equivalence would yield (10, 16)-sequence in base 2, but
- net from sequence [i] would yield (10, m, 17)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (10, 62, 17)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(262, 17, S2, 4, 52), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 276 701161 105643 274240 / 53 > 262 [i]
- extracting embedded OOA [i] would yield OOA(262, 17, S2, 4, 52), but
- m-reduction [i] would yield (10, 62, 17)-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.