Information on Result #618274
Linear OA(3285, 32769, F32, 29) (dual of [32769, 32684, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(3299, 32802, F32, 29) (dual of [32802, 32703, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32100, 32813, F32, 29) (dual of [32813, 32713, 30]-code) | [i] | ||
| 3 | Linear OA(32101, 32815, F32, 29) (dual of [32815, 32714, 30]-code) | [i] | ||
| 4 | Linear OA(32102, 32833, F32, 29) (dual of [32833, 32731, 30]-code) | [i] | ||
| 5 | Linear OA(32103, 32835, F32, 29) (dual of [32835, 32732, 30]-code) | [i] | ||
| 6 | Linear OA(32104, 32845, F32, 29) (dual of [32845, 32741, 30]-code) | [i] | ||
| 7 | Linear OA(32105, 32847, F32, 29) (dual of [32847, 32742, 30]-code) | [i] | ||
| 8 | Linear OA(32106, 32867, F32, 29) (dual of [32867, 32761, 30]-code) | [i] | ||
| 9 | Linear OA(32107, 32869, F32, 29) (dual of [32869, 32762, 30]-code) | [i] | ||
| 10 | Linear OA(32108, 32873, F32, 29) (dual of [32873, 32765, 30]-code) | [i] | ||
| 11 | Linear OA(32109, 32875, F32, 29) (dual of [32875, 32766, 30]-code) | [i] | ||
| 12 | Linear OA(32110, 32889, F32, 29) (dual of [32889, 32779, 30]-code) | [i] | ||
| 13 | Linear OA(32110, 32796, F32, 29) (dual of [32796, 32686, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(32105, 32791, F32, 29) (dual of [32791, 32686, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(32106, 32793, F32, 29) (dual of [32793, 32687, 30]-code) | [i] | ||
| 16 | Linear OA(32107, 32795, F32, 29) (dual of [32795, 32688, 30]-code) | [i] | ||
| 17 | Linear OA(32108, 32835, F32, 29) (dual of [32835, 32727, 30]-code) | [i] | ||
| 18 | Linear OA(32109, 32846, F32, 29) (dual of [32846, 32737, 30]-code) | [i] | ||
| 19 | Linear OA(32110, 32857, F32, 29) (dual of [32857, 32747, 30]-code) | [i] | ||
| 20 | Linear OA(3299, 32784, F32, 29) (dual of [32784, 32685, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 21 | Linear OA(3292, 32776, F32, 31) (dual of [32776, 32684, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(3286, 32776, F32, 29) (dual of [32776, 32690, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(32100, 32784, F32, 33) (dual of [32784, 32684, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(3288, 32784, F32, 29) (dual of [32784, 32696, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(32108, 32792, F32, 35) (dual of [32792, 32684, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(3290, 32792, F32, 29) (dual of [32792, 32702, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(3292, 32800, F32, 29) (dual of [32800, 32708, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(3295, 32809, F32, 29) (dual of [32809, 32714, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(3293, 32802, F32, 28) (dual of [32802, 32709, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(3297, 32813, F32, 29) (dual of [32813, 32716, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(3298, 32815, F32, 29) (dual of [32815, 32717, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(3299, 32819, F32, 29) (dual of [32819, 32720, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(3296, 32813, F32, 28) (dual of [32813, 32717, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(3297, 32815, F32, 28) (dual of [32815, 32718, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(32101, 32827, F32, 29) (dual of [32827, 32726, 30]-code) | [i] | ✔ | |
| 36 | Linear OA(3294, 32803, F32, 29) (dual of [32803, 32709, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |