Information on Result #556928
There is no linear OOA(3174, 198, F3, 2, 115) (dual of [(198, 2), 222, 116]-NRT-code), because 1 step m-reduction would yield linear OA(3173, 198, F3, 114) (dual of [198, 25, 115]-code), but
- residual code [i] would yield OA(359, 83, S3, 38), but
- the linear programming bound shows that M ≥ 325 626781 031292 288709 976539 068217 532079 726399 / 18937 606422 109375 > 359 [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(3174, 198, F3, 3, 115) (dual of [(198, 3), 420, 116]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3174, 198, F3, 4, 115) (dual of [(198, 4), 618, 116]-NRT-code) | [i] | ||
| 3 | No linear OOA(3174, 198, F3, 5, 115) (dual of [(198, 5), 816, 116]-NRT-code) | [i] | ||