Information on Result #3039083
There is no (10, 67, 31)-net in base 3, because 9 times m-reduction would yield (10, 58, 31)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(358, 31, S3, 2, 48), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 42391 158275 216203 514294 433201 / 7 > 358 [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.