Information on Result #1877041
There is no digital (1, m, 100)-net over F49 with m > ∞, because logical equivalence would yield (1, 100)-sequence in base 49, but
- net from sequence [i] would yield (1, m, 101)-net in base 49 for arbitrarily large m, but
- m-reduction [i] would yield (1, 99, 101)-net in base 49, but
- extracting embedded OOA [i] would yield OA(4999, 101, S49, 98), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 10 461838 291314 357175 018899 611816 813659 819188 550170 233659 950140 084035 125767 424262 251774 382614 909364 050293 065248 252546 314174 063180 343683 591188 150754 267339 816534 637456 120001 / 33 > 4999 [i]
- extracting embedded OOA [i] would yield OA(4999, 101, S49, 98), but
- m-reduction [i] would yield (1, 99, 101)-net in base 49, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.