Information on Result #728176
Linear OA(3258, 1023, F32, 29) (dual of [1023, 965, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,32}, and designed minimum distance d ≥ |I|+1 = 30
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3258, 518, F32, 2, 29) (dual of [(518, 2), 978, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (29, 58, 518)-net over F32 | [i] | ||
| 3 | Linear OA(3275, 1062, F32, 32) (dual of [1062, 987, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(3294, 1059, F32, 43) (dual of [1059, 965, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(3297, 1062, F32, 44) (dual of [1062, 965, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(32100, 1065, F32, 45) (dual of [1065, 965, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(32103, 1068, F32, 46) (dual of [1068, 965, 47]-code) | [i] | ✔ | |
| 8 | Linear OA(32106, 1069, F32, 47) (dual of [1069, 963, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(32106, 1071, F32, 47) (dual of [1071, 965, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(32109, 1072, F32, 48) (dual of [1072, 963, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(32109, 1074, F32, 48) (dual of [1074, 965, 49]-code) | [i] | ✔ | |