Information on Result #619706
Linear OA(12869, 16385, F128, 35) (dual of [16385, 16316, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound)
Mode: Constructive and 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 | Linear OA(12874, 16390, F128, 37) (dual of [16390, 16316, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(12870, 16390, F128, 35) (dual of [16390, 16320, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(12872, 16396, F128, 35) (dual of [16396, 16324, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(12874, 16402, F128, 35) (dual of [16402, 16328, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(12876, 16408, F128, 35) (dual of [16408, 16332, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(12878, 16414, F128, 35) (dual of [16414, 16336, 36]-code) | [i] | ✔ | |