Information on Result #3069964
There is no (56, 251, 239)-net in base 4, because 16 times m-reduction would yield (56, 235, 239)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4235, 239, S4, 179), but
- the (dual) Plotkin bound shows that M ≥ 48777 321098 687378 615337 456715 518223 527321 845979 140174 232174 327494 146433 419058 837814 379782 860367 062049 372295 798771 978482 741374 619988 879457 910784 / 15 > 4235 [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.