Information on Result #1874597
There is no digital (10, m, 53)-net over F5 with m > ∞, because logical equivalence would yield (10, 53)-sequence in base 5, but
- net from sequence [i] would yield (10, m, 54)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (10, 105, 54)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(5105, 54, S5, 2, 95), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 123 259516 440783 094595 582588 325435 348386 438505 485784 844495 356082 916259 765625 / 4 > 5105 [i]
- extracting embedded OOA [i] would yield OOA(5105, 54, S5, 2, 95), but
- m-reduction [i] would yield (10, 105, 54)-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.