Information on Result #3142746
There is no digital (100, 198, 218)-net over F2, because 6 times m-reduction would yield digital (100, 192, 218)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2192, 218, F2, 92) (dual of [218, 26, 93]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-code), but
- adding a parity check bit [i] would yield linear OA(2195, 221, F2, 93) (dual of [221, 26, 94]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-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.