Information on Result #1864075
There is no (27, m, 64)-net in base 3 with m > ∞, because logical equivalence would yield (27, 64)-sequence in base 3, but
- net from sequence [i] would yield (27, m, 65)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (27, 255, 65)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3255, 65, S3, 4, 228), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 12371 752261 565881 216079 641024 279855 977165 477721 959093 281252 829374 273210 464049 212798 749157 454715 755247 441238 233108 852049 761369 / 229 > 3255 [i]
- extracting embedded OOA [i] would yield OOA(3255, 65, S3, 4, 228), but
- m-reduction [i] would yield (27, 255, 65)-net in base 3, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.