Information on Result #556843
There is no linear OOA(3169, 190, F3, 2, 112) (dual of [(190, 2), 211, 113]-NRT-code), because 1 step m-reduction would yield linear OA(3168, 190, F3, 111) (dual of [190, 22, 112]-code), but
- residual code [i] would yield OA(357, 78, S3, 37), but
- the linear programming bound shows that M ≥ 4 189427 328087 433604 993587 700284 480257 / 2119 390625 > 357 [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(3169, 190, F3, 3, 112) (dual of [(190, 3), 401, 113]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3169, 190, F3, 4, 112) (dual of [(190, 4), 591, 113]-NRT-code) | [i] | ||
| 3 | No linear OOA(3169, 190, F3, 5, 112) (dual of [(190, 5), 781, 113]-NRT-code) | [i] | ||