Information on Result #598812
There is no digital (97, 189, 215)-net over F2, because extracting embedded orthogonal array would yield linear OA(2189, 215, F2, 92) (dual of [215, 26, 93]-code), but
- 5 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
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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No digital (97, 190, 215)-net over F2 | [i] | m-Reduction |