Information on Result #557033
There is no linear OOA(3180, 206, F3, 2, 119) (dual of [(206, 2), 232, 120]-NRT-code), because 2 step m-reduction would yield linear OA(3178, 206, F3, 117) (dual of [206, 28, 118]-code), but
- residual code [i] would yield OA(361, 88, S3, 39), but
- the linear programming bound shows that M ≥ 27794 948374 262252 134892 330586 188426 701201 134663 / 193694 611824 634375 > 361 [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(3180, 206, F3, 3, 119) (dual of [(206, 3), 438, 120]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3180, 206, F3, 4, 119) (dual of [(206, 4), 644, 120]-NRT-code) | [i] | ||
| 3 | No linear OOA(3180, 206, F3, 5, 119) (dual of [(206, 5), 850, 120]-NRT-code) | [i] | ||