Information on Result #698715
Linear OA(6457, 4096, F64, 29) (dual of [4096, 4039, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(6459, 4098, F64, 30) (dual of [4098, 4039, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6457, 4098, F64, 29) (dual of [4098, 4041, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(6465, 4104, F64, 32) (dual of [4104, 4039, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(6459, 4104, F64, 29) (dual of [4104, 4045, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(6471, 4110, F64, 34) (dual of [4110, 4039, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(6461, 4110, F64, 29) (dual of [4110, 4049, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(6477, 4116, F64, 36) (dual of [4116, 4039, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(6463, 4116, F64, 29) (dual of [4116, 4053, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(6483, 4122, F64, 38) (dual of [4122, 4039, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(6465, 4122, F64, 29) (dual of [4122, 4057, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(6489, 4128, F64, 40) (dual of [4128, 4039, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(6467, 4128, F64, 29) (dual of [4128, 4061, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(6469, 4134, F64, 29) (dual of [4134, 4065, 30]-code) | [i] | ✔ | |