Information on Result #3030482
There is no (117, 253, 247)-net in base 2, because 12 times m-reduction would yield (117, 241, 247)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2241, 247, S2, 124), but
- adding a parity check bit [i] would yield OA(2242, 248, S2, 125), but
- the (dual) Plotkin bound shows that M ≥ 452 312848 583266 388373 324160 190187 140051 835877 600158 453279 131187 530910 662656 / 63 > 2242 [i]
- adding a parity check bit [i] would yield OA(2242, 248, S2, 125), 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.