Information on Result #728564
Linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−5,−4,…,34}, 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
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3288, 1059, F32, 40) (dual of [1059, 971, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3287, 1057, F32, 40) (dual of [1057, 970, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(3286, 1054, F32, 40) (dual of [1054, 968, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(3285, 1051, F32, 40) (dual of [1051, 966, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(3284, 1048, F32, 40) (dual of [1048, 964, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(3283, 1045, F32, 40) (dual of [1045, 962, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(3280, 1039, F32, 40) (dual of [1039, 959, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(3282, 1039, F32, 41) (dual of [1039, 957, 42]-code) | [i] | ✔ | |