Information on Result #3146492
There is no digital (71, 243, 223)-net over F3, because 28 times m-reduction would yield digital (71, 215, 223)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3215, 223, F3, 144) (dual of [223, 8, 145]-code), but
- residual code [i] would yield linear OA(371, 78, F3, 48) (dual of [78, 7, 49]-code), but
- residual code [i] would yield linear OA(323, 29, F3, 16) (dual of [29, 6, 17]-code), but
- 1 times truncation [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]
- 1 times truncation [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- residual code [i] would yield linear OA(323, 29, F3, 16) (dual of [29, 6, 17]-code), but
- residual code [i] would yield linear OA(371, 78, F3, 48) (dual of [78, 7, 49]-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.