Information on Result #556646
There is no linear OOA(3156, 175, F3, 2, 104) (dual of [(175, 2), 194, 105]-NRT-code), because 2 step m-reduction would yield linear OA(3154, 175, F3, 102) (dual of [175, 21, 103]-code), but
- residual code [i] would yield OA(352, 72, S3, 34), but
- the linear programming bound shows that M ≥ 23373 085764 731132 483065 978750 735767 / 2987 457005 > 352 [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(3156, 175, F3, 3, 104) (dual of [(175, 3), 369, 105]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3156, 175, F3, 4, 104) (dual of [(175, 4), 544, 105]-NRT-code) | [i] | ||
| 3 | No linear OOA(3156, 175, F3, 5, 104) (dual of [(175, 5), 719, 105]-NRT-code) | [i] | ||