Information on Result #557344
There is no linear OOA(3196, 209, F3, 2, 131) (dual of [(209, 2), 222, 132]-NRT-code), because 2 step m-reduction would yield linear OA(3194, 209, F3, 129) (dual of [209, 15, 130]-code), but
- residual code [i] would yield OA(365, 79, S3, 43), but
- the linear programming bound shows that M ≥ 172 665163 578928 812417 146840 028215 778171 / 14 734291 > 365 [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, 209, F3, 3, 131) (dual of [(209, 3), 431, 132]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3196, 209, F3, 4, 131) (dual of [(209, 4), 640, 132]-NRT-code) | [i] | ||
| 3 | No linear OOA(3196, 209, F3, 5, 131) (dual of [(209, 5), 849, 132]-NRT-code) | [i] | ||