Information on Result #598891
There is no digital (129, 253, 277)-net over F2, because extracting embedded orthogonal array would yield linear OA(2253, 277, F2, 124) (dual of [277, 24, 125]-code), but
- residual code [i] would yield linear OA(2129, 152, F2, 62) (dual of [152, 23, 63]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2130, 153, F2, 62) (dual of [153, 23, 63]-code), but
- adding a parity check bit [i] would yield linear OA(2131, 154, F2, 63) (dual of [154, 23, 64]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2130, 153, F2, 62) (dual of [153, 23, 63]-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 (129, 254, 277)-net over F2 | [i] | m-Reduction | |