Information on Result #1874591
There is no digital (7, m, 39)-net over F5 with m > ∞, because logical equivalence would yield (7, 39)-sequence in base 5, but
- net from sequence [i] would yield (7, m, 40)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (7, 77, 40)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(577, 40, S5, 2, 70), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 49 630836 753181 660492 284521 524197 771213 948726 654052 734375 / 71 > 577 [i]
- extracting embedded OOA [i] would yield OOA(577, 40, S5, 2, 70), but
- m-reduction [i] would yield (7, 77, 40)-net in base 5, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.