Information on Result #556616
There is no linear OOA(3154, 168, F3, 2, 103) (dual of [(168, 2), 182, 104]-NRT-code), because 1 step m-reduction would yield linear OA(3153, 168, F3, 102) (dual of [168, 15, 103]-code), but
- residual code [i] would yield OA(351, 65, S3, 34), but
- the linear programming bound shows that M ≥ 342 054256 122719 546156 841781 498869 / 115 101637 > 351 [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(3154, 168, F3, 3, 103) (dual of [(168, 3), 350, 104]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3154, 168, F3, 4, 103) (dual of [(168, 4), 518, 104]-NRT-code) | [i] | ||
| 3 | No linear OOA(3154, 168, F3, 5, 103) (dual of [(168, 5), 686, 104]-NRT-code) | [i] | ||