Information on Result #3142352
There is no digital (87, 170, 193)-net over F2, because 1 times m-reduction would yield digital (87, 169, 193)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2169, 193, F2, 82) (dual of [193, 24, 83]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2172, 196, F2, 82) (dual of [196, 24, 83]-code), but
- adding a parity check bit [i] would yield linear OA(2173, 197, F2, 83) (dual of [197, 24, 84]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2172, 196, F2, 82) (dual of [196, 24, 83]-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.