Information on Result #1873095
There is no digital (32, m, 40)-net over F2 with m > ∞, because logical equivalence would yield (32, 40)-sequence in base 2, but
- net from sequence [i] would yield (32, m, 41)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (32, 197, 41)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2197, 41, S2, 5, 165), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 18 479787 508978 388168 732564 061923 369929 005334 428502 117605 965824 / 83 > 2197 [i]
- extracting embedded OOA [i] would yield OOA(2197, 41, S2, 5, 165), but
- m-reduction [i] would yield (32, 197, 41)-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.