Information on Result #599326
There is no digital (89, 248, 385)-net over F3, because extracting embedded orthogonal array would yield linear OA(3248, 385, F3, 159) (dual of [385, 137, 160]-code), but
- residual code [i] would yield linear OA(389, 225, F3, 53) (dual of [225, 136, 54]-code), but
- 1 times truncation [i] would yield linear OA(388, 224, F3, 52) (dual of [224, 136, 53]-code), but
- the Johnson bound shows that N ≤ 73138 750163 909178 998184 764057 381403 209399 446777 305834 354572 535302 < 3136 [i]
- 1 times truncation [i] would yield linear OA(388, 224, F3, 52) (dual of [224, 136, 53]-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 (89, 249, 385)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (89, 250, 385)-net over F3 | [i] | ||