Information on Result #3064244
There is no (22, 212, 82)-net in base 4, because 52 times m-reduction would yield (22, 160, 82)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4160, 82, S4, 2, 138), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 341 757925 747345 613183 203472 987128 338336 432723 577064 443191 526657 251555 156124 902488 003673 933909 852160 / 139 > 4160 [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.