Information on Result #3046381
There is no (49, 174, 161)-net in base 3, because 18 times m-reduction would yield (49, 156, 161)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3156, 161, S3, 107), but
- the (dual) Plotkin bound shows that M ≥ 809 164816 771822 689786 320611 221860 560835 816670 552324 143733 808294 394923 420563 / 2 > 3156 [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.