Information on Result #618129
Linear OA(3243, 32769, F32, 15) (dual of [32769, 32726, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3250, 32802, F32, 15) (dual of [32802, 32752, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3251, 32813, F32, 15) (dual of [32813, 32762, 16]-code) | [i] | ||
| 3 | Linear OA(3252, 32815, F32, 15) (dual of [32815, 32763, 16]-code) | [i] | ||
| 4 | Linear OA(3253, 32833, F32, 15) (dual of [32833, 32780, 16]-code) | [i] | ||
| 5 | Linear OA(3254, 32863, F32, 15) (dual of [32863, 32809, 16]-code) | [i] | ||
| 6 | Linear OA(3255, 32868, F32, 15) (dual of [32868, 32813, 16]-code) | [i] | ||
| 7 | Linear OA(3256, 33794, F32, 15) (dual of [33794, 33738, 16]-code) | [i] | ||
| 8 | Linear OA(3253, 32835, F32, 15) (dual of [32835, 32782, 16]-code) | [i] | ||
| 9 | Linear OA(3256, 32784, F32, 15) (dual of [32784, 32728, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(3255, 32835, F32, 15) (dual of [32835, 32780, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3256, 32846, F32, 15) (dual of [32846, 32790, 16]-code) | [i] | ||
| 12 | Linear OA(3249, 32776, F32, 15) (dual of [32776, 32727, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(3250, 32776, F32, 17) (dual of [32776, 32726, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(3244, 32776, F32, 15) (dual of [32776, 32732, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(3258, 32784, F32, 19) (dual of [32784, 32726, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(3246, 32784, F32, 15) (dual of [32784, 32738, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(3266, 32792, F32, 21) (dual of [32792, 32726, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3248, 32792, F32, 15) (dual of [32792, 32744, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(3274, 32800, F32, 23) (dual of [32800, 32726, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(3283, 32809, F32, 25) (dual of [32809, 32726, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(3281, 32802, F32, 24) (dual of [32802, 32721, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(3291, 32813, F32, 27) (dual of [32813, 32722, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3292, 32815, F32, 27) (dual of [32815, 32723, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(3293, 32819, F32, 27) (dual of [32819, 32726, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(3290, 32813, F32, 26) (dual of [32813, 32723, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(3291, 32815, F32, 26) (dual of [32815, 32724, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(32101, 32827, F32, 29) (dual of [32827, 32726, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(3282, 32803, F32, 25) (dual of [32803, 32721, 26]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 29 | Linear OA(3276, 32803, F32, 23) (dual of [32803, 32727, 24]-code) | [i] | ✔ | |