Information on Result #1864038
There is no (9, 26)-sequence in base 3 (for arbitrarily large k), because logical equivalence would yield (9, 26)-sequence in base 3, but
- net from sequence [i] would yield (9, m, 27)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (9, 77, 27)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(377, 27, S3, 3, 68), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 147 808829 414345 923316 083210 206383 297601 / 23 > 377 [i]
- extracting embedded OOA [i] would yield OOA(377, 27, S3, 3, 68), but
- m-reduction [i] would yield (9, 77, 27)-net in base 3, 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.