Information on Result #557246
There is no linear OOA(3191, 191, F3, 2, 131) (dual of [(191, 2), 191, 132]-NRT-code), because 8 step m-reduction would yield linear OA(3183, 191, F3, 123) (dual of [191, 8, 124]-code), but
- residual code [i] would yield OA(360, 67, S3, 41), but
- the linear programming bound shows that M ≥ 367 404168 771298 835858 389852 553067 / 8575 > 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(3191, 191, F3, 3, 131) (dual of [(191, 3), 382, 132]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3191, 191, F3, 4, 131) (dual of [(191, 4), 573, 132]-NRT-code) | [i] | ||
| 3 | No linear OOA(3191, 191, F3, 5, 131) (dual of [(191, 5), 764, 132]-NRT-code) | [i] | ||