Information on Result #1877917
There is no digital (60, m, 70)-net over F2 with unbounded m, because logical equivalence would yield (60, m, 70)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (60, 411, 70)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2411, 70, S2, 6, 351), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 76682 492379 668837 478422 175731 801440 620094 943223 856621 437019 260251 831071 783412 116115 721948 411006 973042 320580 594902 709563 293696 / 11 > 2411 [i]
- extracting embedded OOA [i] would yield OOA(2411, 70, S2, 6, 351), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.