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:

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