Information on Result #1864055
There is no (17, m, 43)-net in base 3 with m > ∞, because logical equivalence would yield (17, 43)-sequence in base 3, but
- net from sequence [i] would yield (17, m, 44)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (17, 171, 44)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3171, 44, S3, 4, 154), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 685027 211508 324515 777792 095033 732379 709657 564813 491328 565171 830353 981268 593042 103819 / 155 > 3171 [i]
- extracting embedded OOA [i] would yield OOA(3171, 44, S3, 4, 154), but
- m-reduction [i] would yield (17, 171, 44)-net in base 3, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.