Information on Result #3142323
There is no digital (86, 165, 193)-net over F2, because 1 times m-reduction would yield digital (86, 164, 193)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2164, 193, F2, 78) (dual of [193, 29, 79]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-code), but
- adding a parity check bit [i] would yield linear OA(2167, 196, F2, 79) (dual of [196, 29, 80]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-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.