Information on Result #3046223
There is no (48, 162, 157)-net in base 3, because 9 times m-reduction would yield (48, 153, 157)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3153, 157, S3, 105), but
- the (dual) Plotkin bound shows that M ≥ 539 443211 181215 126524 213740 814573 707223 877780 368216 095822 538862 929948 947042 / 53 > 3153 [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.