Information on Result #3030927
There is no (122, 253, 258)-net in base 2, because 1 times m-reduction would yield (122, 252, 258)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2252, 258, S2, 130), but
- adding a parity check bit [i] would yield OA(2253, 259, S2, 131), but
- the (dual) Plotkin bound shows that M ≥ 578960 446186 580977 117854 925043 439539 266349 923328 202820 197287 920039 565648 199680 / 33 > 2253 [i]
- adding a parity check bit [i] would yield OA(2253, 259, S2, 131), 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.