Information on Result #618715
Linear OA(6413, 4097, F64, 7) (dual of [4097, 4084, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, 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(826, 8194, F8, 7) (dual of [8194, 8168, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(6456, 266242, F64, 15) (dual of [266242, 266186, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6416, 4163, F64, 7) (dual of [4163, 4147, 8]-code) | [i] | ||
| 4 | Linear OA(6417, 8194, F64, 7) (dual of [8194, 8177, 8]-code) | [i] | ||
| 5 | Linear OA(6424, 262208, F64, 7) (dual of [262208, 262184, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(6415, 4100, F64, 7) (dual of [4100, 4085, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(6418, 4102, F64, 9) (dual of [4102, 4084, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(6414, 4102, F64, 7) (dual of [4102, 4088, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(6424, 4108, F64, 11) (dual of [4108, 4084, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(6430, 4114, F64, 13) (dual of [4114, 4084, 14]-code) | [i] | ✔ | |