Information on Result #3143064
There is no digital (122, 249, 257)-net over F2, because 3 times m-reduction would yield digital (122, 246, 257)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2246, 257, F2, 124) (dual of [257, 11, 125]-code), but
- residual code [i] would yield linear OA(2122, 132, F2, 62) (dual of [132, 10, 63]-code), but
- residual code [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- “BGV†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- residual code [i] would yield linear OA(2122, 132, F2, 62) (dual of [132, 10, 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.