Information on Result #3030840
There is no (121, 253, 256)-net in base 2, because 4 times m-reduction would yield (121, 249, 256)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2249, 256, S2, 128), but
- adding a parity check bit [i] would yield OA(2250, 257, S2, 129), but
- the (dual) Plotkin bound shows that M ≥ 173688 133855 974293 135356 477513 031861 779904 976998 460846 059186 376011 869694 459904 / 65 > 2250 [i]
- adding a parity check bit [i] would yield OA(2250, 257, S2, 129), but
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.