Information on Result #3047292
There is no (55, 241, 179)-net in base 3, because 67 times m-reduction would yield (55, 174, 179)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3174, 179, S3, 119), but
- the (dual) Plotkin bound shows that M ≥ 2 821383 260958 014531 084804 730393 168953 719437 088977 599878 666724 657220 634716 408631 037763 / 20 > 3174 [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.