Information on Result #3142386
There is no digital (88, 178, 187)-net over F2, because 2 times m-reduction would yield digital (88, 176, 187)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2176, 187, F2, 88) (dual of [187, 11, 89]-code), but
- residual code [i] would yield linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), but
- adding a parity check bit [i] would yield linear OA(289, 99, F2, 45) (dual of [99, 10, 46]-code), but
- residual code [i] would yield linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), but
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.