Information on Result #618036
Linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(3219, 32802, F32, 6) (dual of [32802, 32783, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3220, 33793, F32, 6) (dual of [33793, 33773, 7]-code) | [i] | ||
| 3 | Linear OOA(3216, 31477, F32, 2, 6) (dual of [(31477, 2), 62938, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (10, 16, 31477)-net over F32 | [i] | ||
| 5 | Linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(3216, 32771, F32, 6) (dual of [32771, 32755, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(3223, 32775, F32, 8) (dual of [32775, 32752, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(3217, 32775, F32, 6) (dual of [32775, 32758, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(3227, 32779, F32, 9) (dual of [32779, 32752, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(3218, 32779, F32, 6) (dual of [32779, 32761, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(3231, 32783, F32, 10) (dual of [32783, 32752, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(3235, 32787, F32, 11) (dual of [32787, 32752, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(3239, 32791, F32, 12) (dual of [32791, 32752, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(3217, 32776, F32, 6) (dual of [32776, 32759, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |