Information on Result #556907
There is no linear OOA(3173, 284, F3, 2, 109) (dual of [(284, 2), 395, 110]-NRT-code), because 1 step m-reduction would yield linear OA(3172, 284, F3, 108) (dual of [284, 112, 109]-code), but
- residual code [i] would yield OA(364, 175, S3, 36), but
- the linear programming bound shows that M ≥ 9416 034006 705562 294899 288842 534501 672943 849055 374790 819656 686449 203066 047883 / 2617 392919 548435 684112 676035 405385 302688 663969 > 364 [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(3173, 284, F3, 3, 109) (dual of [(284, 3), 679, 110]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3173, 284, F3, 4, 109) (dual of [(284, 4), 963, 110]-NRT-code) | [i] | ||
| 3 | No linear OOA(3173, 284, F3, 5, 109) (dual of [(284, 5), 1247, 110]-NRT-code) | [i] | ||