Information on Result #556944
There is no linear OOA(3175, 209, F3, 2, 115) (dual of [(209, 2), 243, 116]-NRT-code), because 1 step m-reduction would yield linear OA(3174, 209, F3, 114) (dual of [209, 35, 115]-code), but
- residual code [i] would yield OA(360, 94, S3, 38), but
- the linear programming bound shows that M ≥ 132 944288 351905 684103 161899 822708 298724 029601 023671 / 2537 510710 702022 341000 > 360 [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(3175, 209, F3, 3, 115) (dual of [(209, 3), 452, 116]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3175, 209, F3, 4, 115) (dual of [(209, 4), 661, 116]-NRT-code) | [i] | ||
| 3 | No linear OOA(3175, 209, F3, 5, 115) (dual of [(209, 5), 870, 116]-NRT-code) | [i] | ||