Information on Result #556929
There is no linear OOA(3174, 190, F3, 2, 116) (dual of [(190, 2), 206, 117]-NRT-code), because 2 step m-reduction would yield linear OA(3172, 190, F3, 114) (dual of [190, 18, 115]-code), but
- residual code [i] would yield OA(358, 75, S3, 38), but
- the linear programming bound shows that M ≥ 425880 948792 153754 309607 908493 218857 / 85 592416 > 358 [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(3174, 190, F3, 3, 116) (dual of [(190, 3), 396, 117]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3174, 190, F3, 4, 116) (dual of [(190, 4), 586, 117]-NRT-code) | [i] | ||
| 3 | No linear OOA(3174, 190, F3, 5, 116) (dual of [(190, 5), 776, 117]-NRT-code) | [i] | ||