Information on Result #698697
Linear OA(6481, 4096, F64, 41) (dual of [4096, 4015, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(6483, 4098, F64, 42) (dual of [4098, 4015, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6481, 4098, F64, 41) (dual of [4098, 4017, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(6489, 4104, F64, 44) (dual of [4104, 4015, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(6483, 4104, F64, 41) (dual of [4104, 4021, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(6485, 4110, F64, 41) (dual of [4110, 4025, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(6487, 4116, F64, 41) (dual of [4116, 4029, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(6489, 4122, F64, 41) (dual of [4122, 4033, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(6491, 4128, F64, 41) (dual of [4128, 4037, 42]-code) | [i] | ✔ | |