Information on Result #618222

Linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(3282, 32801, F32, 24) (dual of [32801, 32719, 25]-code) [i](u, u+v)-Construction
2Linear OA(3283, 32812, F32, 24) (dual of [32812, 32729, 25]-code) [i]
3Linear OA(3284, 32814, F32, 24) (dual of [32814, 32730, 25]-code) [i]
4Linear OA(3285, 32832, F32, 24) (dual of [32832, 32747, 25]-code) [i]
5Linear OA(3286, 32834, F32, 24) (dual of [32834, 32748, 25]-code) [i]
6Linear OA(3287, 32844, F32, 24) (dual of [32844, 32757, 25]-code) [i]
7Linear OA(3288, 32846, F32, 24) (dual of [32846, 32758, 25]-code) [i]
8Linear OA(3289, 32866, F32, 24) (dual of [32866, 32777, 25]-code) [i]
9Linear OA(3290, 32868, F32, 24) (dual of [32868, 32778, 25]-code) [i]
10Linear OA(3291, 32872, F32, 24) (dual of [32872, 32781, 25]-code) [i]
11Linear OA(3292, 33110, F32, 24) (dual of [33110, 33018, 25]-code) [i]
12Linear OA(3289, 32788, F32, 24) (dual of [32788, 32699, 25]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(3292, 32792, F32, 24) (dual of [32792, 32700, 25]-code) [i]
14Linear OA(3287, 32786, F32, 24) (dual of [32786, 32699, 25]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(3288, 32788, F32, 24) (dual of [32788, 32700, 25]-code) [i]
16Linear OA(3289, 32790, F32, 24) (dual of [32790, 32701, 25]-code) [i]
17Linear OA(3290, 32834, F32, 24) (dual of [32834, 32744, 25]-code) [i]
18Linear OA(3291, 32845, F32, 24) (dual of [32845, 32754, 25]-code) [i]
19Linear OA(3292, 32856, F32, 24) (dual of [32856, 32764, 25]-code) [i]
20Linear OA(3273, 32771, F32, 25) (dual of [32771, 32698, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
21Linear OA(3270, 32771, F32, 24) (dual of [32771, 32701, 25]-code) [i]✔
22Linear OA(3277, 32775, F32, 26) (dual of [32775, 32698, 27]-code) [i]✔
23Linear OA(3271, 32775, F32, 24) (dual of [32775, 32704, 25]-code) [i]✔
24Linear OA(3281, 32779, F32, 27) (dual of [32779, 32698, 28]-code) [i]✔
25Linear OA(3272, 32779, F32, 24) (dual of [32779, 32707, 25]-code) [i]✔
26Linear OA(3285, 32783, F32, 28) (dual of [32783, 32698, 29]-code) [i]✔
27Linear OA(3273, 32783, F32, 24) (dual of [32783, 32710, 25]-code) [i]✔
28Linear OA(3289, 32787, F32, 29) (dual of [32787, 32698, 30]-code) [i]✔
29Linear OA(3274, 32787, F32, 24) (dual of [32787, 32713, 25]-code) [i]✔
30Linear OA(3293, 32791, F32, 30) (dual of [32791, 32698, 31]-code) [i]✔
31Linear OA(3275, 32791, F32, 24) (dual of [32791, 32716, 25]-code) [i]✔
32Linear OA(3297, 32795, F32, 31) (dual of [32795, 32698, 32]-code) [i]✔
33Linear OA(3276, 32795, F32, 24) (dual of [32795, 32719, 25]-code) [i]✔
34Linear OA(32102, 32800, F32, 33) (dual of [32800, 32698, 34]-code) [i]✔
35Linear OA(3277, 32799, F32, 24) (dual of [32799, 32722, 25]-code) [i]✔
36Linear OA(32107, 32805, F32, 34) (dual of [32805, 32698, 35]-code) [i]✔
37Linear OA(3278, 32801, F32, 24) (dual of [32801, 32723, 25]-code) [i]✔
38Linear OA(3279, 32804, F32, 24) (dual of [32804, 32725, 25]-code) [i]✔
39Linear OA(3280, 32808, F32, 24) (dual of [32808, 32728, 25]-code) [i]✔
40Linear OA(3281, 32812, F32, 24) (dual of [32812, 32731, 25]-code) [i]✔
41Linear OA(3284, 32818, F32, 24) (dual of [32818, 32734, 25]-code) [i]✔
42Linear OA(32106, 32802, F32, 34) (dual of [32802, 32696, 35]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
43Linear OA(32103, 32802, F32, 33) (dual of [32802, 32699, 34]-code) [i]✔
44Linear OOA(3270, 2730, F32, 24, 24) (dual of [(2730, 24), 65450, 25]-NRT-code) [i]OA Folding and Stacking