Information on Result #556521
There is no linear OOA(3147, 166, F3, 2, 98) (dual of [(166, 2), 185, 99]-NRT-code), because 2 step m-reduction would yield linear OA(3145, 166, F3, 96) (dual of [166, 21, 97]-code), but
- residual code [i] would yield OA(349, 69, S3, 32), but
- the linear programming bound shows that M ≥ 216581 757923 721967 421601 778838 750385 / 815783 089121 > 349 [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(3147, 166, F3, 3, 98) (dual of [(166, 3), 351, 99]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3147, 166, F3, 4, 98) (dual of [(166, 4), 517, 99]-NRT-code) | [i] | ||
| 3 | No linear OOA(3147, 166, F3, 5, 98) (dual of [(166, 5), 683, 99]-NRT-code) | [i] | ||