Information on Result #618718
Linear OA(6419, 262145, F64, 7) (dual of [262145, 262126, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, 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(838, 524290, F8, 7) (dual of [524290, 524252, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(6422, 262211, F64, 7) (dual of [262211, 262189, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6423, 266242, F64, 7) (dual of [266242, 266219, 8]-code) | [i] | ||
| 4 | Linear OA(6424, 270410, F64, 7) (dual of [270410, 270386, 8]-code) | [i] | ||
| 5 | Linear OA(6424, 262276, F64, 7) (dual of [262276, 262252, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(6421, 262148, F64, 7) (dual of [262148, 262127, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(6426, 262152, F64, 9) (dual of [262152, 262126, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(6420, 262152, F64, 7) (dual of [262152, 262132, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(6434, 262160, F64, 11) (dual of [262160, 262126, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(6442, 262168, F64, 13) (dual of [262168, 262126, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(6420, 262153, F64, 7) (dual of [262153, 262133, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |