Information on Result #1873629
There is no digital (38, m, 87)-net over F3 with m > ∞, because logical equivalence would yield (38, 87)-sequence in base 3, but
- net from sequence [i] would yield (38, m, 88)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (38, 346, 88)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3346, 88, S3, 4, 308), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 134671 938588 441224 113431 736827 290363 245597 051186 402233 094311 094053 748600 754444 196567 509079 338081 106678 435003 151014 332077 567079 051883 911111 653043 899025 362948 629563 002119 / 103 > 3346 [i]
- extracting embedded OOA [i] would yield OOA(3346, 88, S3, 4, 308), but
- m-reduction [i] would yield (38, 346, 88)-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.