Information on Result #3142159
There is no digital (79, 165, 168)-net over F2, because 6 times m-reduction would yield digital (79, 159, 168)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2159, 168, F2, 80) (dual of [168, 9, 81]-code), but
- residual code [i] would yield linear OA(279, 87, F2, 40) (dual of [87, 8, 41]-code), but
- adding a parity check bit [i] would yield linear OA(280, 88, F2, 41) (dual of [88, 8, 42]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(280, 88, F2, 41) (dual of [88, 8, 42]-code), but
- residual code [i] would yield linear OA(279, 87, F2, 40) (dual of [87, 8, 41]-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.