Information on Result #618782
Linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(886, 524290, F8, 15) (dual of [524290, 524204, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(6450, 262210, F64, 15) (dual of [262210, 262160, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6451, 262225, F64, 15) (dual of [262225, 262174, 16]-code) | [i] | ||
| 4 | Linear OA(6452, 262227, F64, 15) (dual of [262227, 262175, 16]-code) | [i] | ||
| 5 | Linear OA(6453, 262273, F64, 15) (dual of [262273, 262220, 16]-code) | [i] | ||
| 6 | Linear OA(6454, 262340, F64, 15) (dual of [262340, 262286, 16]-code) | [i] | ||
| 7 | Linear OA(6455, 262461, F64, 15) (dual of [262461, 262406, 16]-code) | [i] | ||
| 8 | Linear OA(6456, 266242, F64, 15) (dual of [266242, 266186, 16]-code) | [i] | ||
| 9 | Linear OA(6453, 262275, F64, 15) (dual of [262275, 262222, 16]-code) | [i] | ||
| 10 | Linear OA(6456, 262160, F64, 15) (dual of [262160, 262104, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(6455, 262275, F64, 15) (dual of [262275, 262220, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(6456, 262290, F64, 15) (dual of [262290, 262234, 16]-code) | [i] | ||
| 13 | Linear OA(6449, 262152, F64, 15) (dual of [262152, 262103, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 14 | Linear OA(6450, 262152, F64, 17) (dual of [262152, 262102, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(6444, 262152, F64, 15) (dual of [262152, 262108, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(6458, 262160, F64, 19) (dual of [262160, 262102, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(6446, 262160, F64, 15) (dual of [262160, 262114, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(6466, 262168, F64, 21) (dual of [262168, 262102, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(6448, 262168, F64, 15) (dual of [262168, 262120, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(6474, 262176, F64, 23) (dual of [262176, 262102, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(6482, 262184, F64, 25) (dual of [262184, 262102, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(6490, 262192, F64, 27) (dual of [262192, 262102, 28]-code) | [i] | ✔ | |