Information on Result #1874072
There is no digital (9, 37)-sequence over F4 (for arbitrarily large k), because logical equivalence would yield (9, 37)-sequence in base 4, but
- net from sequence [i] would yield (9, m, 38)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (9, 110, 38)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4110, 38, S4, 3, 101), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 33 699933 333938 299743 333768 858774 538342 046430 528175 715601 379512 811520 / 17 > 4110 [i]
- extracting embedded OOA [i] would yield OOA(4110, 38, S4, 3, 101), but
- m-reduction [i] would yield (9, 110, 38)-net in base 4, 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.