Information on Result #618739
Linear OA(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(856, 524288, F8, 10) (dual of [524288, 524232, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(6433, 262209, F64, 10) (dual of [262209, 262176, 11]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6434, 262224, F64, 10) (dual of [262224, 262190, 11]-code) | [i] | ||
| 4 | Linear OA(6435, 266177, F64, 10) (dual of [266177, 266142, 11]-code) | [i] | ||
| 5 | Linear OA(6436, 262153, F64, 10) (dual of [262153, 262117, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(6435, 262152, F64, 10) (dual of [262152, 262117, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(6436, 262274, F64, 10) (dual of [262274, 262238, 11]-code) | [i] | ||
| 8 | Linear OA(6431, 262147, F64, 11) (dual of [262147, 262116, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(6428, 262147, F64, 10) (dual of [262147, 262119, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(6435, 262151, F64, 12) (dual of [262151, 262116, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(6429, 262151, F64, 10) (dual of [262151, 262122, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(6439, 262155, F64, 13) (dual of [262155, 262116, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(6430, 262155, F64, 10) (dual of [262155, 262125, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(6443, 262159, F64, 14) (dual of [262159, 262116, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(6431, 262159, F64, 10) (dual of [262159, 262128, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(6447, 262163, F64, 15) (dual of [262163, 262116, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(6432, 262163, F64, 10) (dual of [262163, 262131, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(6451, 262167, F64, 16) (dual of [262167, 262116, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(6455, 262171, F64, 17) (dual of [262171, 262116, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(6459, 262175, F64, 18) (dual of [262175, 262116, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(6463, 262179, F64, 19) (dual of [262179, 262116, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(6467, 262183, F64, 20) (dual of [262183, 262116, 21]-code) | [i] | ✔ | |