Information on Result #556977
There is no linear OOA(3177, 285, F3, 2, 112) (dual of [(285, 2), 393, 113]-NRT-code), because 1 step m-reduction would yield linear OA(3176, 285, F3, 111) (dual of [285, 109, 112]-code), but
- residual code [i] would yield OA(365, 173, S3, 37), but
- the linear programming bound shows that M ≥ 1453 422171 176186 751809 127162 493016 603191 312063 081521 426831 231947 464953 600000 / 134 521851 774696 965469 262634 050207 937701 652681 > 365 [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(3177, 285, F3, 3, 112) (dual of [(285, 3), 678, 113]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3177, 285, F3, 4, 112) (dual of [(285, 4), 963, 113]-NRT-code) | [i] | ||
| 3 | No linear OOA(3177, 285, F3, 5, 112) (dual of [(285, 5), 1248, 113]-NRT-code) | [i] | ||