Information on Result #3146398
There is no digital (69, 247, 218)-net over F3, because 37 times m-reduction would yield digital (69, 210, 218)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3210, 218, F3, 141) (dual of [218, 8, 142]-code), but
- residual code [i] would yield linear OA(369, 76, F3, 47) (dual of [76, 7, 48]-code), but
- 2 times truncation [i] would yield linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-code), but
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- “HHM†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- 2 times truncation [i] would yield linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-code), but
- residual code [i] would yield linear OA(369, 76, F3, 47) (dual of [76, 7, 48]-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.