Information on Result #3142141
There is no digital (78, 173, 166)-net over F2, because 15 times m-reduction would yield digital (78, 158, 166)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2158, 166, F2, 80) (dual of [166, 8, 81]-code), but
- residual code [i] would yield linear OA(278, 85, F2, 40) (dual of [85, 7, 41]-code), but
- “Hel†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(278, 85, F2, 40) (dual of [85, 7, 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.