Information on Result #3030750
There is no (120, 251, 254)-net in base 2, because 3 times m-reduction would yield (120, 248, 254)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2248, 254, S2, 128), but
- adding a parity check bit [i] would yield OA(2249, 255, S2, 129), but
- the (dual) Plotkin bound shows that M ≥ 14474 011154 664524 427946 373126 085988 481658 748083 205070 504932 198000 989141 204992 / 13 > 2249 [i]
- adding a parity check bit [i] would yield OA(2249, 255, 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.