Information on Result #3025622
There is no (70, 154, 152)-net in base 2, because 8 times m-reduction would yield (70, 146, 152)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2146, 152, S2, 76), but
- adding a parity check bit [i] would yield OA(2147, 153, S2, 77), but
- the (dual) Plotkin bound shows that M ≥ 2854 495385 411919 762116 571938 898990 272765 493248 / 13 > 2147 [i]
- adding a parity check bit [i] would yield OA(2147, 153, S2, 77), 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.