Information on Result #3048536
There is no (65, 228, 209)-net in base 3, because 24 times m-reduction would yield (65, 204, 209)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3204, 209, S3, 139), but
- the (dual) Plotkin bound shows that M ≥ 1742 693381 014614 361631 744253 876750 131626 600682 858921 288089 186323 970185 832803 443622 626158 010427 690561 / 70 > 3204 [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.