Information on Result #3045321
There is no (42, 222, 106)-net in base 3, because 15 times m-reduction would yield (42, 207, 106)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3207, 106, S3, 2, 165), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 78421 202145 657646 273428 491424 453755 923197 030728 651457 964013 384578 658362 476154 963018 177110 469246 075245 / 83 > 3207 [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.