Information on Result #599204
There is no digital (72, 213, 229)-net over F3, because extracting embedded orthogonal array would yield linear OA(3213, 229, F3, 141) (dual of [229, 16, 142]-code), but
- residual code [i] would yield linear OA(372, 87, F3, 47) (dual of [87, 15, 48]-code), but
- 1 times truncation [i] would yield linear OA(371, 86, F3, 46) (dual of [86, 15, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (72, 214, 229)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (72, 215, 229)-net over F3 | [i] | ||