Information on Result #619016
Linear OA(6481, 4097, F64, 41) (dual of [4097, 4016, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound)
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(8162, 8194, F8, 41) (dual of [8194, 8032, 42]-code) | [i] | Trace Code | |
| 2 | Linear OA(6486, 4102, F64, 43) (dual of [4102, 4016, 44]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(6482, 4102, F64, 41) (dual of [4102, 4020, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(6491, 4107, F64, 44) (dual of [4107, 4016, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(6484, 4108, F64, 41) (dual of [4108, 4024, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(6486, 4114, F64, 41) (dual of [4114, 4028, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(6488, 4120, F64, 41) (dual of [4120, 4032, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(6490, 4126, F64, 41) (dual of [4126, 4036, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(6491, 4131, F64, 40) (dual of [4131, 4040, 41]-code) | [i] | ✔ | |