Information on Result #557343
There is no linear OOA(3196, 214, F3, 2, 130) (dual of [(214, 2), 232, 131]-NRT-code), because 1 step m-reduction would yield linear OA(3195, 214, F3, 129) (dual of [214, 19, 130]-code), but
- residual code [i] would yield OA(366, 84, S3, 43), but
- the linear programming bound shows that M ≥ 3447 047885 971598 137581 249186 171087 026769 / 88 665115 > 366 [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(3196, 214, F3, 3, 130) (dual of [(214, 3), 446, 131]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3196, 214, F3, 4, 130) (dual of [(214, 4), 660, 131]-NRT-code) | [i] | ||
| 3 | No linear OOA(3196, 214, F3, 5, 130) (dual of [(214, 5), 874, 131]-NRT-code) | [i] | ||