Information on Result #3030572
There is no (118, 252, 249)-net in base 2, because 10 times m-reduction would yield (118, 242, 249)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2242, 249, S2, 124), but
- adding a parity check bit [i] would yield OA(2243, 250, S2, 125), but
- the (dual) Plotkin bound shows that M ≥ 904 625697 166532 776746 648320 380374 280103 671755 200316 906558 262375 061821 325312 / 63 > 2243 [i]
- adding a parity check bit [i] would yield OA(2243, 250, 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.