Information on Result #557088
There is no linear OOA(3183, 199, F3, 2, 122) (dual of [(199, 2), 215, 123]-NRT-code), because 2 step m-reduction would yield linear OA(3181, 199, F3, 120) (dual of [199, 18, 121]-code), but
- residual code [i] would yield OA(361, 78, S3, 40), but
- the linear programming bound shows that M ≥ 3904 915634 579720 805714 510866 149518 645975 / 27453 221324 > 361 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(3183, 199, F3, 3, 122) (dual of [(199, 3), 414, 123]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3183, 199, F3, 4, 122) (dual of [(199, 4), 613, 123]-NRT-code) | [i] | ||
| 3 | No linear OOA(3183, 199, F3, 5, 122) (dual of [(199, 5), 812, 123]-NRT-code) | [i] | ||