Information on Result #557145
There is no linear OOA(3186, 200, F3, 2, 124) (dual of [(200, 2), 214, 125]-NRT-code), because 1 step m-reduction would yield linear OA(3185, 200, F3, 123) (dual of [200, 15, 124]-code), but
- residual code [i] would yield OA(362, 76, S3, 41), but
- the linear programming bound shows that M ≥ 347660 486804 616889 071607 220289 701250 / 818741 > 362 [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(3186, 200, F3, 3, 124) (dual of [(200, 3), 414, 125]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3186, 200, F3, 4, 124) (dual of [(200, 4), 614, 125]-NRT-code) | [i] | ||
| 3 | No linear OOA(3186, 200, F3, 5, 124) (dual of [(200, 5), 814, 125]-NRT-code) | [i] | ||