Information on Result #3142649
There is no digital (97, 184, 225)-net over F2, because 1 times m-reduction would yield digital (97, 183, 225)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2183, 225, F2, 86) (dual of [225, 42, 87]-code), but
- construction Y1 [i] would yield
- linear OA(2182, 211, F2, 86) (dual of [211, 29, 87]-code), but
- adding a parity check bit [i] would yield linear OA(2183, 212, F2, 87) (dual of [212, 29, 88]-code), but
- OA(242, 225, S2, 14), but
- discarding factors would yield OA(242, 219, S2, 14), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 498367 189624 > 242 [i]
- discarding factors would yield OA(242, 219, S2, 14), but
- linear OA(2182, 211, F2, 86) (dual of [211, 29, 87]-code), but
- construction Y1 [i] would yield
Mode: Bound (linear).
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.