Information on Result #557125
There is no linear OOA(3185, 214, F3, 2, 122) (dual of [(214, 2), 243, 123]-NRT-code), because 2 step m-reduction would yield linear OA(3183, 214, F3, 120) (dual of [214, 31, 121]-code), but
- residual code [i] would yield OA(363, 93, S3, 40), but
- the linear programming bound shows that M ≥ 3 468104 662873 063250 302984 700066 235894 540957 / 2 937118 328933 > 363 [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(3185, 214, F3, 3, 122) (dual of [(214, 3), 457, 123]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3185, 214, F3, 4, 122) (dual of [(214, 4), 671, 123]-NRT-code) | [i] | ||
| 3 | No linear OOA(3185, 214, F3, 5, 122) (dual of [(214, 5), 885, 123]-NRT-code) | [i] | ||