Information on Result #556520
There is no linear OOA(3147, 177, F3, 2, 97) (dual of [(177, 2), 207, 98]-NRT-code), because 1 step m-reduction would yield linear OA(3146, 177, F3, 96) (dual of [177, 31, 97]-code), but
- residual code [i] would yield OA(350, 80, S3, 32), but
- the linear programming bound shows that M ≥ 17966 137866 413855 600211 208294 867018 069814 838765 / 21749 437213 575033 309776 > 350 [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, 177, F3, 3, 97) (dual of [(177, 3), 384, 98]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3147, 177, F3, 4, 97) (dual of [(177, 4), 561, 98]-NRT-code) | [i] | ||
| 3 | No linear OOA(3147, 177, F3, 5, 97) (dual of [(177, 5), 738, 98]-NRT-code) | [i] | ||