Information on Result #1863519
There is no (10, m, 16)-net in base 2 with m > ∞, 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.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.