Information on Result #1873043
There is no digital (6, m, 11)-net over F2 with m > ∞, because logical equivalence would yield (6, 11)-sequence in base 2, but
- net from sequence [i] would yield (6, m, 12)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (6, 43, 12)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(243, 12, S2, 4, 37), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 175 921860 444160 / 19 > 243 [i]
- extracting embedded OOA [i] would yield OOA(243, 12, S2, 4, 37), but
- m-reduction [i] would yield (6, 43, 12)-net in base 2, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.