Information on Result #1878337
There is no digital (9, m, 27)-net over F3 with unbounded m, because logical equivalence 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
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.