Information on Result #1877868
There is no digital (36, 36+k, 45)-net over F2 for arbitrarily large k, because logical equivalence would yield (36, m, 45)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (36, 218, 45)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2218, 45, S2, 5, 182), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 28 644943 333847 554781 833703 529958 357590 739465 948949 358261 172585 889792 / 61 > 2218 [i]
- extracting embedded OOA [i] would yield OOA(2218, 45, S2, 5, 182), but
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.