Information on Result #3143050
There is no digital (121, 253, 255)-net over F2, because 8 times m-reduction would yield digital (121, 245, 255)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2245, 255, F2, 124) (dual of [255, 10, 125]-code), but
- residual code [i] would yield linear OA(2121, 130, F2, 62) (dual of [130, 9, 63]-code), but
- residual code [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- “DHM†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- residual code [i] would yield linear OA(2121, 130, F2, 62) (dual of [130, 9, 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
None.