Information on Result #3046593
There is no (50, 242, 164)-net in base 3, because 83 times m-reduction would yield (50, 159, 164)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3159, 164, S3, 109), but
- the (dual) Plotkin bound shows that M ≥ 589881 151426 658740 854227 725580 736348 849310 352832 644300 781946 246613 899173 590427 / 55 > 3159 [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.