Information on Result #3047140
There is no (54, 225, 176)-net in base 3, because 54 times m-reduction would yield (54, 171, 176)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3171, 176, S3, 117), but
- the (dual) Plotkin bound shows that M ≥ 313487 028995 334947 898311 636710 352105 968826 343219 733319 851858 295246 737190 712070 115307 / 59 > 3171 [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.