Information on Result #3142988
There is no digital (118, 251, 248)-net over F2, because 13 times m-reduction would yield digital (118, 238, 248)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2238, 248, F2, 120) (dual of [248, 10, 121]-code), but
- residual code [i] would yield linear OA(2118, 127, F2, 60) (dual of [127, 9, 61]-code), but
- residual code [i] would yield linear OA(258, 66, F2, 30) (dual of [66, 8, 31]-code), but
- adding a parity check bit [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]
- adding a parity check bit [i] would yield linear OA(259, 67, F2, 31) (dual of [67, 8, 32]-code), but
- residual code [i] would yield linear OA(258, 66, F2, 30) (dual of [66, 8, 31]-code), but
- residual code [i] would yield linear OA(2118, 127, F2, 60) (dual of [127, 9, 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.