Information on Result #1873075
There is no digital (22, m, 29)-net over F2 with m > ∞, because logical equivalence would yield (22, 29)-sequence in base 2, but
- net from sequence [i] would yield (22, m, 30)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (22, 143, 30)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2143, 30, S2, 5, 121), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 758 225336 750041 186812 214421 270044 291203 334144 / 61 > 2143 [i]
- extracting embedded OOA [i] would yield OOA(2143, 30, S2, 5, 121), but
- m-reduction [i] would yield (22, 143, 30)-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.