Information on Result #1864051
There is no (15, m, 39)-net in base 3 with m > ∞, because logical equivalence would yield (15, 39)-sequence in base 3, but
- net from sequence [i] would yield (15, m, 40)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (15, 155, 40)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3155, 40, S3, 4, 140), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 5484 339313 675687 119662 839698 281499 356776 090767 076863 640862 478439 787814 294927 / 47 > 3155 [i]
- extracting embedded OOA [i] would yield OOA(3155, 40, S3, 4, 140), but
- m-reduction [i] would yield (15, 155, 40)-net in base 3, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.