Information on Result #1868820
There is no (17, 17+k, 44)-net in base 3 for arbitrarily large k, because logical equivalence 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
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.