Information on Result #618202
Linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(3275, 32801, F32, 22) (dual of [32801, 32726, 23]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(3276, 32812, F32, 22) (dual of [32812, 32736, 23]-code) | [i] | ||
3 | Linear OA(3277, 32814, F32, 22) (dual of [32814, 32737, 23]-code) | [i] | ||
4 | Linear OA(3278, 32832, F32, 22) (dual of [32832, 32754, 23]-code) | [i] | ||
5 | Linear OA(3279, 32834, F32, 22) (dual of [32834, 32755, 23]-code) | [i] | ||
6 | Linear OA(3280, 32844, F32, 22) (dual of [32844, 32764, 23]-code) | [i] | ||
7 | Linear OA(3281, 32846, F32, 22) (dual of [32846, 32765, 23]-code) | [i] | ||
8 | Linear OA(3282, 32866, F32, 22) (dual of [32866, 32784, 23]-code) | [i] | ||
9 | Linear OA(3283, 32868, F32, 22) (dual of [32868, 32785, 23]-code) | [i] | ||
10 | Linear OA(3284, 32878, F32, 22) (dual of [32878, 32794, 23]-code) | [i] | ||
11 | Linear OA(3284, 32789, F32, 22) (dual of [32789, 32705, 23]-code) | [i] | Generalized (u, u+v)-Construction | |
12 | Linear OA(3283, 32788, F32, 22) (dual of [32788, 32705, 23]-code) | [i] | ||
13 | Linear OA(3281, 32786, F32, 22) (dual of [32786, 32705, 23]-code) | [i] | ||
14 | Linear OA(3283, 32789, F32, 22) (dual of [32789, 32706, 23]-code) | [i] | ||
15 | Linear OA(3284, 32792, F32, 22) (dual of [32792, 32708, 23]-code) | [i] | ||
16 | Linear OA(3279, 32784, F32, 22) (dual of [32784, 32705, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
17 | Linear OA(3280, 32786, F32, 22) (dual of [32786, 32706, 23]-code) | [i] | ||
18 | Linear OA(3281, 32788, F32, 22) (dual of [32788, 32707, 23]-code) | [i] | ||
19 | Linear OA(3282, 32834, F32, 22) (dual of [32834, 32752, 23]-code) | [i] | ||
20 | Linear OA(3283, 32845, F32, 22) (dual of [32845, 32762, 23]-code) | [i] | ||
21 | Linear OA(3284, 32856, F32, 22) (dual of [32856, 32772, 23]-code) | [i] | ||
22 | Linear OA(3267, 32771, F32, 23) (dual of [32771, 32704, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
23 | Linear OA(3264, 32771, F32, 22) (dual of [32771, 32707, 23]-code) | [i] | ✔ | |
24 | Linear OA(3271, 32775, F32, 24) (dual of [32775, 32704, 25]-code) | [i] | ✔ | |
25 | Linear OA(3265, 32775, F32, 22) (dual of [32775, 32710, 23]-code) | [i] | ✔ | |
26 | Linear OA(3275, 32779, F32, 25) (dual of [32779, 32704, 26]-code) | [i] | ✔ | |
27 | Linear OA(3266, 32779, F32, 22) (dual of [32779, 32713, 23]-code) | [i] | ✔ | |
28 | Linear OA(3279, 32783, F32, 26) (dual of [32783, 32704, 27]-code) | [i] | ✔ | |
29 | Linear OA(3267, 32783, F32, 22) (dual of [32783, 32716, 23]-code) | [i] | ✔ | |
30 | Linear OA(3283, 32787, F32, 27) (dual of [32787, 32704, 28]-code) | [i] | ✔ | |
31 | Linear OA(3268, 32787, F32, 22) (dual of [32787, 32719, 23]-code) | [i] | ✔ | |
32 | Linear OA(3287, 32791, F32, 28) (dual of [32791, 32704, 29]-code) | [i] | ✔ | |
33 | Linear OA(3269, 32791, F32, 22) (dual of [32791, 32722, 23]-code) | [i] | ✔ | |
34 | Linear OA(3291, 32795, F32, 29) (dual of [32795, 32704, 30]-code) | [i] | ✔ | |
35 | Linear OA(3270, 32795, F32, 22) (dual of [32795, 32725, 23]-code) | [i] | ✔ | |
36 | Linear OA(3295, 32799, F32, 30) (dual of [32799, 32704, 31]-code) | [i] | ✔ | |
37 | Linear OA(3271, 32799, F32, 22) (dual of [32799, 32728, 23]-code) | [i] | ✔ | |
38 | Linear OA(32100, 32804, F32, 31) (dual of [32804, 32704, 32]-code) | [i] | ✔ | |
39 | Linear OA(3272, 32801, F32, 22) (dual of [32801, 32729, 23]-code) | [i] | ✔ | |
40 | Linear OA(3273, 32804, F32, 22) (dual of [32804, 32731, 23]-code) | [i] | ✔ | |
41 | Linear OA(32105, 32809, F32, 33) (dual of [32809, 32704, 34]-code) | [i] | ✔ | |
42 | Linear OA(3274, 32808, F32, 22) (dual of [32808, 32734, 23]-code) | [i] | ✔ | |
43 | Linear OA(32109, 32812, F32, 34) (dual of [32812, 32703, 35]-code) | [i] | ✔ | |
44 | Linear OA(32110, 32814, F32, 34) (dual of [32814, 32704, 35]-code) | [i] | ✔ | |
45 | Linear OA(3275, 32812, F32, 22) (dual of [32812, 32737, 23]-code) | [i] | ✔ |