Information on Result #3067649
There is no (41, 228, 179)-net in base 4, because 53 times m-reduction would yield (41, 175, 179)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4175, 179, S4, 134), but
- the (dual) Plotkin bound shows that M ≥ 146783 911423 364576 743092 537299 333564 210980 159306 769991 919205 685720 763064 069663 027716 481187 399048 043939 495936 / 45 > 4175 [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.