Information on Result #3144240
There is no digital (32, 158, 105)-net over F3, because 60 times m-reduction would yield digital (32, 98, 105)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(398, 105, F3, 66) (dual of [105, 7, 67]-code), but
- residual code [i] would yield linear OA(332, 38, F3, 22) (dual of [38, 6, 23]-code), but
- 1 times truncation [i] would yield linear OA(331, 37, F3, 21) (dual of [37, 6, 22]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
- 1 times truncation [i] would yield linear OA(331, 37, F3, 21) (dual of [37, 6, 22]-code), but
- residual code [i] would yield linear OA(332, 38, F3, 22) (dual of [38, 6, 23]-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.