Information on Result #3070303
There is no (59, 251, 251)-net in base 4, because 4 times m-reduction would yield (59, 247, 251)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4247, 251, S4, 188), but
- the (dual) Plotkin bound shows that M ≥ 3 273390 607896 141870 013189 696827 599152 216642 046043 064789 483291 368096 133796 404674 554883 270092 325904 157150 886684 127560 071009 217256 545885 393053 328527 589376 / 63 > 4247 [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.