Information on Result #618292
Linear OA(3291, 32769, F32, 31) (dual of [32769, 32678, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)
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(32106, 32802, F32, 31) (dual of [32802, 32696, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32107, 32813, F32, 31) (dual of [32813, 32706, 32]-code) | [i] | ||
| 3 | Linear OA(32108, 32815, F32, 31) (dual of [32815, 32707, 32]-code) | [i] | ||
| 4 | Linear OA(32109, 32833, F32, 31) (dual of [32833, 32724, 32]-code) | [i] | ||
| 5 | Linear OA(32110, 32835, F32, 31) (dual of [32835, 32725, 32]-code) | [i] | ||
| 6 | Linear OA(32105, 32784, F32, 31) (dual of [32784, 32679, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3298, 32776, F32, 33) (dual of [32776, 32678, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3292, 32776, F32, 31) (dual of [32776, 32684, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(32106, 32784, F32, 35) (dual of [32784, 32678, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(3294, 32784, F32, 31) (dual of [32784, 32690, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(3296, 32792, F32, 31) (dual of [32792, 32696, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(3298, 32800, F32, 31) (dual of [32800, 32702, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(32101, 32809, F32, 31) (dual of [32809, 32708, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3299, 32802, F32, 30) (dual of [32802, 32703, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(32103, 32813, F32, 31) (dual of [32813, 32710, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(32104, 32815, F32, 31) (dual of [32815, 32711, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(32105, 32819, F32, 31) (dual of [32819, 32714, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(32102, 32813, F32, 30) (dual of [32813, 32711, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(32103, 32815, F32, 30) (dual of [32815, 32712, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(32107, 32827, F32, 31) (dual of [32827, 32720, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(32100, 32803, F32, 31) (dual of [32803, 32703, 32]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |