Information on Result #1869830
There is no (10, 10+k, 54)-net in base 5 for arbitrarily large k, because logical equivalence 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
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.