Information on Result #1864567
There is no (22, m, 78)-net in base 4 with m > ∞, because logical equivalence would yield (22, 78)-sequence in base 4, but
- net from sequence [i] would yield (22, m, 79)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (22, 233, 79)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4233, 79, S4, 3, 211), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 11241 648221 963106 790253 554477 404590 578562 456690 504962 030071 427039 666560 827048 716527 532840 581100 221331 691271 297373 229415 944301 181950 562062 565376 / 53 > 4233 [i]
- extracting embedded OOA [i] would yield OOA(4233, 79, S4, 3, 211), but
- m-reduction [i] would yield (22, 233, 79)-net in base 4, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.