Information on Result #3069109
There is no (50, 253, 215)-net in base 4, because 42 times m-reduction would yield (50, 211, 215)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4211, 215, S4, 161), but
- the (dual) Plotkin bound shows that M ≥ 346 583711 765101 857447 301773 017885 462929 554634 421977 071896 309947 576827 663475 703202 879996 800763 017447 262173 901370 175446 478621 769728 / 27 > 4211 [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.