Information on Result #1873649
There is no digital (48, m, 107)-net over F3 with m > ∞, because logical equivalence would yield (48, 107)-sequence in base 3, but
- net from sequence [i] would yield (48, m, 108)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (48, 534, 108)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3534, 108, S3, 5, 486), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 343821 538392 794744 971988 367444 317149 888019 219654 310042 978368 480701 286267 732702 345837 301631 075869 708080 900589 987744 222222 378349 655973 124873 248600 186718 565415 389661 554907 134496 046023 218886 509206 619300 572111 944324 007291 155879 944548 899070 269532 503024 107801 974623 / 487 > 3534 [i]
- extracting embedded OOA [i] would yield OOA(3534, 108, S3, 5, 486), but
- m-reduction [i] would yield (48, 534, 108)-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.