Information on Result #618021
Linear OA(3210, 32768, F32, 4) (dual of [32768, 32758, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(3212, 32801, F32, 4) (dual of [32801, 32789, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3213, 32771, F32, 5) (dual of [32771, 32758, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3210, 32771, F32, 4) (dual of [32771, 32761, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(3217, 32775, F32, 6) (dual of [32775, 32758, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(3211, 32775, F32, 4) (dual of [32775, 32764, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(3221, 32779, F32, 7) (dual of [32779, 32758, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(3225, 32783, F32, 8) (dual of [32783, 32758, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(3217, 32776, F32, 6) (dual of [32776, 32759, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(3211, 32776, F32, 4) (dual of [32776, 32765, 5]-code) | [i] | ✔ | |