Information on Result #556719
There is no linear OOA(3161, 183, F3, 2, 107) (dual of [(183, 2), 205, 108]-NRT-code), because 2 step m-reduction would yield linear OA(3159, 183, F3, 105) (dual of [183, 24, 106]-code), but
- residual code [i] would yield OA(354, 77, S3, 35), but
- the linear programming bound shows that M ≥ 49772 879413 668128 111108 466099 084271 883739 / 760 672693 173302 > 354 [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(3161, 183, F3, 3, 107) (dual of [(183, 3), 388, 108]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3161, 183, F3, 4, 107) (dual of [(183, 4), 571, 108]-NRT-code) | [i] | ||
| 3 | No linear OOA(3161, 183, F3, 5, 107) (dual of [(183, 5), 754, 108]-NRT-code) | [i] | ||