Information on Result #618708
Linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(822, 8192, F8, 6) (dual of [8192, 8170, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(6448, 266241, F64, 13) (dual of [266241, 266193, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6414, 4162, F64, 6) (dual of [4162, 4148, 7]-code) | [i] | ||
| 4 | Linear OA(6415, 8192, F64, 6) (dual of [8192, 8177, 7]-code) | [i] | ||
| 5 | Linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(6411, 4098, F64, 6) (dual of [4098, 4087, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(6416, 4101, F64, 8) (dual of [4101, 4085, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(6412, 4101, F64, 6) (dual of [4101, 4089, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(6419, 4104, F64, 9) (dual of [4104, 4085, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(6413, 4104, F64, 6) (dual of [4104, 4091, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(6422, 4107, F64, 10) (dual of [4107, 4085, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(6425, 4110, F64, 11) (dual of [4110, 4085, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(6428, 4113, F64, 12) (dual of [4113, 4085, 13]-code) | [i] | ✔ | |