Information on Result #3142610
There is no digital (95, 212, 200)-net over F2, because 21 times m-reduction would yield digital (95, 191, 200)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2191, 200, F2, 96) (dual of [200, 9, 97]-code), but
- residual code [i] would yield linear OA(295, 103, F2, 48) (dual of [103, 8, 49]-code), but
- residual code [i] would yield linear OA(247, 54, F2, 24) (dual of [54, 7, 25]-code), but
- adding a parity check bit [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-code), but
- “vT4†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-code), but
- residual code [i] would yield linear OA(247, 54, F2, 24) (dual of [54, 7, 25]-code), but
- residual code [i] would yield linear OA(295, 103, F2, 48) (dual of [103, 8, 49]-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.