Information on Result #619713
Linear OA(12873, 16385, F128, 37) (dual of [16385, 16312, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(12878, 16390, F128, 39) (dual of [16390, 16312, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(12874, 16390, F128, 37) (dual of [16390, 16316, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(12876, 16396, F128, 37) (dual of [16396, 16320, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(12878, 16402, F128, 37) (dual of [16402, 16324, 38]-code) | [i] | ✔ | |