Information on Result #618695
Linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(820, 524288, F8, 4) (dual of [524288, 524268, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(6412, 262209, F64, 4) (dual of [262209, 262197, 5]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6413, 262147, F64, 5) (dual of [262147, 262134, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(6410, 262147, F64, 4) (dual of [262147, 262137, 5]-code) | [i] | ✔ | |
| 5 | Linear OA(6417, 262151, F64, 6) (dual of [262151, 262134, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(6411, 262151, F64, 4) (dual of [262151, 262140, 5]-code) | [i] | ✔ | |
| 7 | Linear OA(6421, 262155, F64, 7) (dual of [262155, 262134, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(6425, 262159, F64, 8) (dual of [262159, 262134, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(6417, 262152, F64, 6) (dual of [262152, 262135, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(6411, 262152, F64, 4) (dual of [262152, 262141, 5]-code) | [i] | ✔ | |