Information on Result #3047025
There is no (53, 248, 173)-net in base 3, because 80 times m-reduction would yield (53, 168, 173)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3168, 173, S3, 115), but
- the (dual) Plotkin bound shows that M ≥ 11610 630703 530923 996233 764322 605633 554400 975674 804937 772291 047972 101377 433780 374641 / 58 > 3168 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.