Information on Result #618703
Linear OA(6413, 262145, F64, 5) (dual of [262145, 262132, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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, 524290, F8, 5) (dual of [524290, 524264, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(6415, 262210, F64, 5) (dual of [262210, 262195, 6]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6416, 266306, F64, 5) (dual of [266306, 266290, 6]-code) | [i] | ||
| 4 | Linear OA(6415, 262148, F64, 5) (dual of [262148, 262133, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(6420, 262152, F64, 7) (dual of [262152, 262132, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(6414, 262152, F64, 5) (dual of [262152, 262138, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(6428, 262160, F64, 9) (dual of [262160, 262132, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(6420, 262153, F64, 7) (dual of [262153, 262133, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 9 | Linear OA(6414, 262153, F64, 5) (dual of [262153, 262139, 6]-code) | [i] | ✔ | |