Information on Result #3142329
There is no digital (86, 175, 183)-net over F2, because 1 times m-reduction would yield digital (86, 174, 183)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2174, 183, F2, 88) (dual of [183, 9, 89]-code), but
- residual code [i] would yield linear OA(286, 94, F2, 44) (dual of [94, 8, 45]-code), but
- adding a parity check bit [i] would yield linear OA(287, 95, F2, 45) (dual of [95, 8, 46]-code), but
- “DHM†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(287, 95, F2, 45) (dual of [95, 8, 46]-code), but
- residual code [i] would yield linear OA(286, 94, F2, 44) (dual of [94, 8, 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.