Information on Result #3047533
There is no (57, 216, 185)-net in base 3, because 36 times m-reduction would yield (57, 180, 185)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3180, 185, S3, 123), but
- the (dual) Plotkin bound shows that M ≥ 6170 365191 715177 779482 467945 369860 501784 408913 594010 934644 126825 341528 124785 676079 587681 / 62 > 3180 [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.