Information on Result #557866
There is no linear OOA(3217, 254, F3, 2, 142) (dual of [(254, 2), 291, 143]-NRT-code), because 1 step m-reduction would yield linear OA(3216, 254, F3, 141) (dual of [254, 38, 142]-code), but
- residual code [i] would yield OA(375, 112, S3, 47), but
- the linear programming bound shows that M ≥ 28 974511 480419 672827 808226 260905 963135 337409 029245 529218 006874 / 40 722518 344192 686717 340625 > 375 [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(3217, 254, F3, 3, 142) (dual of [(254, 3), 545, 143]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3217, 254, F3, 4, 142) (dual of [(254, 4), 799, 143]-NRT-code) | [i] | ||
| 3 | No linear OOA(3217, 254, F3, 5, 142) (dual of [(254, 5), 1053, 143]-NRT-code) | [i] | ||