Information on Result #3142817
There is no digital (103, 214, 217)-net over F2, because 7 times m-reduction would yield digital (103, 207, 217)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2207, 217, F2, 104) (dual of [217, 10, 105]-code), but
- residual code [i] would yield linear OA(2103, 112, F2, 52) (dual of [112, 9, 53]-code), but
- residual code [i] would yield linear OA(251, 59, F2, 26) (dual of [59, 8, 27]-code), but
- adding a parity check bit [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(252, 60, F2, 27) (dual of [60, 8, 28]-code), but
- residual code [i] would yield linear OA(251, 59, F2, 26) (dual of [59, 8, 27]-code), but
- residual code [i] would yield linear OA(2103, 112, F2, 52) (dual of [112, 9, 53]-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.