Information on Result #619041
Linear OA(6487, 4096, F64, 44) (dual of [4096, 4009, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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(6489, 4098, F64, 45) (dual of [4098, 4009, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6487, 4098, F64, 44) (dual of [4098, 4011, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(6488, 4101, F64, 44) (dual of [4101, 4013, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(6489, 4104, F64, 44) (dual of [4104, 4015, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(6490, 4107, F64, 44) (dual of [4107, 4017, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(6491, 4110, F64, 44) (dual of [4110, 4019, 45]-code) | [i] | ✔ | |