Information on Result #618213
Linear OA(3267, 32769, F32, 23) (dual of [32769, 32702, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(3278, 32802, F32, 23) (dual of [32802, 32724, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3279, 32813, F32, 23) (dual of [32813, 32734, 24]-code) | [i] | ||
| 3 | Linear OA(3280, 32815, F32, 23) (dual of [32815, 32735, 24]-code) | [i] | ||
| 4 | Linear OA(3281, 32833, F32, 23) (dual of [32833, 32752, 24]-code) | [i] | ||
| 5 | Linear OA(3282, 32835, F32, 23) (dual of [32835, 32753, 24]-code) | [i] | ||
| 6 | Linear OA(3283, 32845, F32, 23) (dual of [32845, 32762, 24]-code) | [i] | ||
| 7 | Linear OA(3284, 32847, F32, 23) (dual of [32847, 32763, 24]-code) | [i] | ||
| 8 | Linear OA(3285, 32867, F32, 23) (dual of [32867, 32782, 24]-code) | [i] | ||
| 9 | Linear OA(3286, 32869, F32, 23) (dual of [32869, 32783, 24]-code) | [i] | ||
| 10 | Linear OA(3287, 32879, F32, 23) (dual of [32879, 32792, 24]-code) | [i] | ||
| 11 | Linear OA(3288, 33794, F32, 23) (dual of [33794, 33706, 24]-code) | [i] | ||
| 12 | Linear OA(3288, 32793, F32, 23) (dual of [32793, 32705, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(3286, 32790, F32, 23) (dual of [32790, 32704, 24]-code) | [i] | ||
| 14 | Linear OA(3287, 32793, F32, 23) (dual of [32793, 32706, 24]-code) | [i] | ||
| 15 | Linear OA(3288, 32796, F32, 23) (dual of [32796, 32708, 24]-code) | [i] | ||
| 16 | Linear OA(3283, 32787, F32, 23) (dual of [32787, 32704, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(3284, 32789, F32, 23) (dual of [32789, 32705, 24]-code) | [i] | ||
| 18 | Linear OA(3285, 32835, F32, 23) (dual of [32835, 32750, 24]-code) | [i] | ||
| 19 | Linear OA(3286, 32846, F32, 23) (dual of [32846, 32760, 24]-code) | [i] | ||
| 20 | Linear OA(3287, 32857, F32, 23) (dual of [32857, 32770, 24]-code) | [i] | ||
| 21 | Linear OA(3288, 32859, F32, 23) (dual of [32859, 32771, 24]-code) | [i] | ||
| 22 | Linear OA(3288, 32866, F32, 23) (dual of [32866, 32778, 24]-code) | [i] | ||
| 23 | Linear OA(3277, 32780, F32, 23) (dual of [32780, 32703, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 24 | Linear OA(3274, 32776, F32, 25) (dual of [32776, 32702, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(3268, 32776, F32, 23) (dual of [32776, 32708, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(3282, 32784, F32, 27) (dual of [32784, 32702, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(3270, 32784, F32, 23) (dual of [32784, 32714, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(3290, 32792, F32, 29) (dual of [32792, 32702, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(3272, 32792, F32, 23) (dual of [32792, 32720, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(3298, 32800, F32, 31) (dual of [32800, 32702, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(3274, 32800, F32, 23) (dual of [32800, 32726, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(32107, 32809, F32, 33) (dual of [32809, 32702, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(32105, 32802, F32, 32) (dual of [32802, 32697, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(3277, 32809, F32, 23) (dual of [32809, 32732, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(3275, 32802, F32, 22) (dual of [32802, 32727, 23]-code) | [i] | ✔ | |
| 36 | Linear OA(32106, 32803, F32, 33) (dual of [32803, 32697, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 37 | Linear OA(32100, 32803, F32, 31) (dual of [32803, 32703, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(3276, 32803, F32, 23) (dual of [32803, 32727, 24]-code) | [i] | ✔ | |