Information on Result #698444
Linear OA(6431, 262144, F64, 11) (dual of [262144, 262113, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(6434, 262147, F64, 12) (dual of [262147, 262113, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6431, 262147, F64, 11) (dual of [262147, 262116, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(6442, 262155, F64, 14) (dual of [262155, 262113, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(6433, 262155, F64, 11) (dual of [262155, 262122, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(6450, 262163, F64, 16) (dual of [262163, 262113, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(6435, 262163, F64, 11) (dual of [262163, 262128, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(6458, 262171, F64, 18) (dual of [262171, 262113, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(6466, 262179, F64, 20) (dual of [262179, 262113, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(6474, 262187, F64, 22) (dual of [262187, 262113, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(6432, 262155, F64, 10) (dual of [262155, 262123, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |