Information on Result #558833
There is no linear OOA(3245, 283, F3, 2, 160) (dual of [(283, 2), 321, 161]-NRT-code), because 1 step m-reduction would yield linear OA(3244, 283, F3, 159) (dual of [283, 39, 160]-code), but
- residual code [i] would yield OA(385, 123, S3, 53), but
- the linear programming bound shows that M ≥ 18 556558 104235 515171 973211 626345 894318 538602 254870 483785 952441 / 483 199328 091023 596855 > 385 [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(3245, 283, F3, 3, 160) (dual of [(283, 3), 604, 161]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3245, 283, F3, 4, 160) (dual of [(283, 4), 887, 161]-NRT-code) | [i] | ||
| 3 | No linear OOA(3245, 283, F3, 5, 160) (dual of [(283, 5), 1170, 161]-NRT-code) | [i] | ||