Information on Result #3143006
There is no digital (119, 247, 250)-net over F2, because 8 times m-reduction would yield digital (119, 239, 250)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2239, 250, F2, 120) (dual of [250, 11, 121]-code), but
- residual code [i] would yield linear OA(2119, 129, F2, 60) (dual of [129, 10, 61]-code), but
- residual code [i] would yield linear OA(259, 68, F2, 30) (dual of [68, 9, 31]-code), but
- adding a parity check bit [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]
- adding a parity check bit [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- residual code [i] would yield linear OA(259, 68, F2, 30) (dual of [68, 9, 31]-code), but
- residual code [i] would yield linear OA(2119, 129, F2, 60) (dual of [129, 10, 61]-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.