Information on Result #1864559
There is no (18, m, 66)-net in base 4 with m > ∞, because logical equivalence would yield (18, 66)-sequence in base 4, but
- net from sequence [i] would yield (18, m, 67)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (18, 197, 67)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4197, 67, S4, 3, 179), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 282433 580415 755626 993616 159437 829423 754811 571090 696321 715853 367121 633333 658092 005662 617460 515015 075313 301909 434519 257088 / 5 > 4197 [i]
- extracting embedded OOA [i] would yield OOA(4197, 67, S4, 3, 179), but
- m-reduction [i] would yield (18, 197, 67)-net in base 4, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.