Information on Result #1871973
There is no (1, m, 67)-net in base 32 with unbounded m, because logical equivalence would yield (1, m, 67)-net in base 32 for arbitrarily large m, but
- m-reduction [i] would yield (1, 65, 67)-net in base 32, but
- extracting embedded orthogonal array [i] would yield OA(3265, 67, S32, 64), but
- the (dual) Plotkin bound shows that M ≥ 6561 752174 349035 773117 506681 352864 096059 508292 679637 309277 311819 229858 997598 127769 670539 531069 161472 / 65 > 3265 [i]
- extracting embedded orthogonal array [i] would yield OA(3265, 67, S32, 64), but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.