Information on Result #3069732
There is no (54, 256, 231)-net in base 4, because 29 times m-reduction would yield (54, 227, 231)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4227, 231, S4, 173), but
- the (dual) Plotkin bound shows that M ≥ 1 488565 707357 402911 845015 158554 633286 356257 506687 627387 456491 927921 949262 056238 946972 039271 861787 782268 441644 249633 132407 878864 135402 815488 / 29 > 4227 [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.