Information on Result #3045813
There is no (45, 222, 112)-net in base 3, because 3 times m-reduction would yield (45, 219, 112)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3219, 112, S3, 2, 174), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 8335 248417 898089 038639 422182 220625 700315 950641 493051 894370 647422 773355 762538 053940 268612 352977 320694 855609 / 25 > 3219 [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.