Information on Result #3041232
There is no (20, 113, 55)-net in base 3, because 8 times m-reduction would yield (20, 105, 55)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3105, 55, S3, 2, 85), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 6762 783827 045452 685860 442944 784482 340397 054903 697122 / 43 > 3105 [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.