Information on Result #619530
Linear OA(12813, 16385, F128, 7) (dual of [16385, 16372, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(12842, 32770, F128, 15) (dual of [32770, 32728, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12856, 2113538, F128, 15) (dual of [2113538, 2113482, 16]-code) | [i] | ||
| 3 | Linear OA(12816, 16515, F128, 7) (dual of [16515, 16499, 8]-code) | [i] | ||
| 4 | Linear OA(12817, 32770, F128, 7) (dual of [32770, 32753, 8]-code) | [i] | ||
| 5 | Linear OA(12824, 2097280, F128, 7) (dual of [2097280, 2097256, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(12815, 16388, F128, 7) (dual of [16388, 16373, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(12814, 16390, F128, 7) (dual of [16390, 16376, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(12824, 16396, F128, 11) (dual of [16396, 16372, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(12830, 16402, F128, 13) (dual of [16402, 16372, 14]-code) | [i] | ✔ | |