Information on Result #547531
There is no linear OA(5119, 279, F5, 90) (dual of [279, 160, 91]-code), because residual code would yield OA(529, 188, S5, 18), but
- the linear programming bound shows that M ≥ 22 829644 377403 021434 618461 608886 718750 / 121561 995449 060039 > 529 [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 OA(5120, 280, F5, 91) (dual of [280, 160, 92]-code) | [i] | Truncation | |
| 2 | No linear OOA(5120, 279, F5, 2, 91) (dual of [(279, 2), 438, 92]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(5119, 279, F5, 2, 90) (dual of [(279, 2), 439, 91]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(5119, 279, F5, 3, 90) (dual of [(279, 3), 718, 91]-NRT-code) | [i] | ||