Information on Result #618232
Linear OA(3273, 32769, F32, 25) (dual of [32769, 32696, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(3285, 32802, F32, 25) (dual of [32802, 32717, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3286, 32813, F32, 25) (dual of [32813, 32727, 26]-code) | [i] | ||
| 3 | Linear OA(3287, 32815, F32, 25) (dual of [32815, 32728, 26]-code) | [i] | ||
| 4 | Linear OA(3288, 32833, F32, 25) (dual of [32833, 32745, 26]-code) | [i] | ||
| 5 | Linear OA(3289, 32835, F32, 25) (dual of [32835, 32746, 26]-code) | [i] | ||
| 6 | Linear OA(3290, 32845, F32, 25) (dual of [32845, 32755, 26]-code) | [i] | ||
| 7 | Linear OA(3291, 32847, F32, 25) (dual of [32847, 32756, 26]-code) | [i] | ||
| 8 | Linear OA(3292, 32867, F32, 25) (dual of [32867, 32775, 26]-code) | [i] | ||
| 9 | Linear OA(3293, 32869, F32, 25) (dual of [32869, 32776, 26]-code) | [i] | ||
| 10 | Linear OA(3294, 32873, F32, 25) (dual of [32873, 32779, 26]-code) | [i] | ||
| 11 | Linear OA(3295, 33111, F32, 25) (dual of [33111, 33016, 26]-code) | [i] | ||
| 12 | Linear OA(3296, 33793, F32, 25) (dual of [33793, 33697, 26]-code) | [i] | ||
| 13 | Linear OA(3295, 32793, F32, 25) (dual of [32793, 32698, 26]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(3296, 32796, F32, 25) (dual of [32796, 32700, 26]-code) | [i] | ||
| 15 | Linear OA(3291, 32789, F32, 25) (dual of [32789, 32698, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(3292, 32791, F32, 25) (dual of [32791, 32699, 26]-code) | [i] | ||
| 17 | Linear OA(3293, 32835, F32, 25) (dual of [32835, 32742, 26]-code) | [i] | ||
| 18 | Linear OA(3294, 32846, F32, 25) (dual of [32846, 32752, 26]-code) | [i] | ||
| 19 | Linear OA(3295, 32857, F32, 25) (dual of [32857, 32762, 26]-code) | [i] | ||
| 20 | Linear OA(3296, 32859, F32, 25) (dual of [32859, 32763, 26]-code) | [i] | ||
| 21 | Linear OA(3296, 32866, F32, 25) (dual of [32866, 32770, 26]-code) | [i] | ||
| 22 | Linear OA(3285, 32782, F32, 25) (dual of [32782, 32697, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 23 | Linear OA(3280, 32776, F32, 27) (dual of [32776, 32696, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(3274, 32776, F32, 25) (dual of [32776, 32702, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(3288, 32784, F32, 29) (dual of [32784, 32696, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(3276, 32784, F32, 25) (dual of [32784, 32708, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(3296, 32792, F32, 31) (dual of [32792, 32696, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(3278, 32792, F32, 25) (dual of [32792, 32714, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(32104, 32800, F32, 33) (dual of [32800, 32696, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(3280, 32800, F32, 25) (dual of [32800, 32720, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(3283, 32809, F32, 25) (dual of [32809, 32726, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(3281, 32802, F32, 24) (dual of [32802, 32721, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(3285, 32813, F32, 25) (dual of [32813, 32728, 26]-code) | [i] | ✔ | |
| 34 | Linear OA(3286, 32815, F32, 25) (dual of [32815, 32729, 26]-code) | [i] | ✔ | |
| 35 | Linear OA(3287, 32819, F32, 25) (dual of [32819, 32732, 26]-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(3282, 32803, F32, 25) (dual of [32803, 32721, 26]-code) | [i] | ✔ | |