Information on Result #599146
There is no digital (65, 176, 285)-net over F3, because extracting embedded orthogonal array would yield linear OA(3176, 285, F3, 111) (dual of [285, 109, 112]-code), but
- residual code [i] would yield OA(365, 173, S3, 37), but
- the linear programming bound shows that M ≥ 1453 422171 176186 751809 127162 493016 603191 312063 081521 426831 231947 464953 600000 / 134 521851 774696 965469 262634 050207 937701 652681 > 365 [i]
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 (65, 177, 285)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (65, 178, 285)-net over F3 | [i] | ||