Information on Result #3142274
There is no digital (84, 161, 193)-net over F2, because 1 times m-reduction would yield digital (84, 160, 193)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2160, 193, F2, 76) (dual of [193, 33, 77]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2163, 196, F2, 76) (dual of [196, 33, 77]-code), but
- adding a parity check bit [i] would yield linear OA(2164, 197, F2, 77) (dual of [197, 33, 78]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2163, 196, F2, 76) (dual of [196, 33, 77]-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.