Information on Result #3142177
There is no digital (80, 157, 177)-net over F2, because 3 times m-reduction would yield digital (80, 154, 177)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2154, 177, F2, 74) (dual of [177, 23, 75]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2155, 178, F2, 74) (dual of [178, 23, 75]-code), but
- adding a parity check bit [i] would yield linear OA(2156, 179, F2, 75) (dual of [179, 23, 76]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2155, 178, F2, 74) (dual of [178, 23, 75]-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.