Information on Result #1873573
There is no digital (10, m, 28)-net over F3 with m > ∞, because logical equivalence would yield (10, 28)-sequence in base 3, but
- net from sequence [i] would yield (10, m, 29)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (10, 83, 29)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(383, 29, S3, 3, 73), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 155642 697373 306257 251835 620347 321612 373853 / 37 > 383 [i]
- extracting embedded OOA [i] would yield OOA(383, 29, S3, 3, 73), but
- m-reduction [i] would yield (10, 83, 29)-net in base 3, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.