Information on Result #3146347
There is no digital (68, 250, 214)-net over F3, because 44 times m-reduction would yield digital (68, 206, 214)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3206, 214, F3, 138) (dual of [214, 8, 139]-code), but
- residual code [i] would yield linear OA(368, 75, F3, 46) (dual of [75, 7, 47]-code), but
- 1 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
- 1 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(368, 75, F3, 46) (dual of [75, 7, 47]-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.