Information on Result #1873123
There is no digital (46, m, 54)-net over F2 with m > ∞, because logical equivalence would yield (46, 54)-sequence in base 2, but
- net from sequence [i] would yield (46, m, 55)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (46, 322, 55)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2322, 55, S2, 6, 276), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2494 832857 955622 976237 385352 806036 869855 958882 112570 435298 144597 936352 639711 788162 426819 717541 920768 / 277 > 2322 [i]
- extracting embedded OOA [i] would yield OOA(2322, 55, S2, 6, 276), but
- m-reduction [i] would yield (46, 322, 55)-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.