Information on Result #3067521
There is no (40, 255, 175)-net in base 4, because 84 times m-reduction would yield (40, 171, 175)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4171, 175, S4, 131), but
- the (dual) Plotkin bound shows that M ≥ 143 343663 499379 469475 676305 956380 433799 785311 823017 570233 599302 461682 679755 530300 504376 159569 382855 409664 / 11 > 4171 [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.