Information on Result #1873097
There is no digital (33, m, 41)-net over F2 with m > ∞, because logical equivalence would yield (33, 41)-sequence in base 2, but
- net from sequence [i] would yield (33, m, 42)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (33, 202, 42)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2202, 42, S2, 5, 169), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 565 642191 579164 576990 770656 504089 236087 815453 811543 078026 084352 / 85 > 2202 [i]
- extracting embedded OOA [i] would yield OOA(2202, 42, S2, 5, 169), but
- m-reduction [i] would yield (33, 202, 42)-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.