Information on Result #728527
Linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42
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
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3297, 1075, F32, 41) (dual of [1075, 978, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3296, 1073, F32, 41) (dual of [1073, 977, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(3296, 1075, F32, 41) (dual of [1075, 979, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(3295, 1073, F32, 41) (dual of [1073, 978, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(3295, 1074, F32, 41) (dual of [1074, 979, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3294, 1072, F32, 41) (dual of [1072, 978, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(3278, 1027, F32, 41) (dual of [1027, 949, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(3280, 1027, F32, 42) (dual of [1027, 947, 43]-code) | [i] | ✔ | |