Information on Result #3142231
There is no digital (82, 165, 178)-net over F2, because 1 times m-reduction would yield digital (82, 164, 178)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2164, 178, F2, 82) (dual of [178, 14, 83]-code), but
- residual code [i] would yield linear OA(282, 95, F2, 41) (dual of [95, 13, 42]-code), but
- 1 times truncation [i] would yield linear OA(281, 94, F2, 40) (dual of [94, 13, 41]-code), but
- residual code [i] would yield linear OA(282, 95, F2, 41) (dual of [95, 13, 42]-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.