Information on Result #3025877
There is no (72, 154, 156)-net in base 2, because 4 times m-reduction would yield (72, 150, 156)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2150, 156, S2, 78), but
- adding a parity check bit [i] would yield OA(2151, 157, S2, 79), but
- the (dual) Plotkin bound shows that M ≥ 17126 972312 471518 572699 431633 393941 636592 959488 / 5 > 2151 [i]
- adding a parity check bit [i] would yield OA(2151, 157, S2, 79), 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.