Information on Result #3142278
There is no digital (84, 169, 180)-net over F2, because 1 times m-reduction would yield digital (84, 168, 180)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2168, 180, F2, 84) (dual of [180, 12, 85]-code), but
- residual code [i] would yield linear OA(284, 95, F2, 42) (dual of [95, 11, 43]-code), but
- adding a parity check bit [i] would yield linear OA(285, 96, F2, 43) (dual of [96, 11, 44]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(285, 96, F2, 43) (dual of [96, 11, 44]-code), but
- residual code [i] would yield linear OA(284, 95, F2, 42) (dual of [95, 11, 43]-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.