Information on Result #614946

Linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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(885, 32778, F8, 18) (dual of [32778, 32693, 19]-code) [i](u, u+v)-Construction
2Linear OA(886, 32782, F8, 18) (dual of [32782, 32696, 19]-code) [i]
3Linear OA(887, 32785, F8, 18) (dual of [32785, 32698, 19]-code) [i]
4Linear OA(888, 32792, F8, 18) (dual of [32792, 32704, 19]-code) [i]
5Linear OA(889, 32795, F8, 18) (dual of [32795, 32706, 19]-code) [i]
6Linear OA(890, 32783, F8, 18) (dual of [32783, 32693, 19]-code) [i]Generalized (u, u+v)-Construction
7Linear OOA(876, 16612, F8, 2, 18) (dual of [(16612, 2), 33148, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(876, 16612, F8, 3, 18) (dual of [(16612, 3), 49760, 19]-NRT-code) [i]
9Digital (58, 76, 16612)-net over F8 [i]
10Linear OA(889, 32782, F8, 18) (dual of [32782, 32693, 19]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(890, 32784, F8, 18) (dual of [32784, 32694, 19]-code) [i]
12Linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(876, 32773, F8, 18) (dual of [32773, 32697, 19]-code) [i]✔
14Linear OA(887, 32779, F8, 20) (dual of [32779, 32692, 21]-code) [i]✔
15Linear OA(878, 32777, F8, 18) (dual of [32777, 32699, 19]-code) [i]✔
16Linear OA(879, 32781, F8, 18) (dual of [32781, 32702, 19]-code) [i]✔
17Linear OA(894, 32786, F8, 21) (dual of [32786, 32692, 22]-code) [i]✔
18Linear OA(880, 32787, F8, 18) (dual of [32787, 32707, 19]-code) [i]✔
19Linear OA(8100, 32792, F8, 22) (dual of [32792, 32692, 23]-code) [i]✔
20Linear OA(882, 32794, F8, 18) (dual of [32794, 32712, 19]-code) [i]✔
21Linear OA(8107, 32799, F8, 23) (dual of [32799, 32692, 24]-code) [i]✔
22Linear OA(883, 32800, F8, 18) (dual of [32800, 32717, 19]-code) [i]✔
23Linear OA(8117, 32809, F8, 25) (dual of [32809, 32692, 26]-code) [i]✔
24Linear OA(8113, 32805, F8, 24) (dual of [32805, 32692, 25]-code) [i]✔
25Linear OA(887, 32809, F8, 18) (dual of [32809, 32722, 19]-code) [i]✔
26Linear OA(8124, 32816, F8, 26) (dual of [32816, 32692, 27]-code) [i]✔
27Linear OA(889, 32816, F8, 18) (dual of [32816, 32727, 19]-code) [i]✔
28Linear OA(8130, 32822, F8, 27) (dual of [32822, 32692, 28]-code) [i]✔
29Linear OA(890, 32822, F8, 18) (dual of [32822, 32732, 19]-code) [i]✔
30Linear OA(8136, 32828, F8, 28) (dual of [32828, 32692, 29]-code) [i]✔
31Linear OA(8142, 32833, F8, 29) (dual of [32833, 32691, 30]-code) [i]✔
32Linear OA(8146, 32838, F8, 29) (dual of [32838, 32692, 30]-code) [i]✔
33Linear OA(8153, 32845, F8, 30) (dual of [32845, 32692, 31]-code) [i]✔
34Linear OA(8160, 32852, F8, 31) (dual of [32852, 32692, 32]-code) [i]✔
35Linear OA(8167, 32859, F8, 32) (dual of [32859, 32692, 33]-code) [i]✔
36Linear OA(8116, 32807, F8, 25) (dual of [32807, 32691, 26]-code) [i]✔
37Linear OA(886, 32807, F8, 18) (dual of [32807, 32721, 19]-code) [i]✔
38Linear OA(8144, 32836, F8, 29) (dual of [32836, 32692, 30]-code) [i]✔
39Linear OA(8152, 32841, F8, 30) (dual of [32841, 32689, 31]-code) [i]✔
40Linear OA(8116, 32808, F8, 25) (dual of [32808, 32692, 26]-code) [i]✔
41Linear OA(8101, 32794, F8, 22) (dual of [32794, 32693, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
42Linear OA(888, 32781, F8, 20) (dual of [32781, 32693, 21]-code) [i]✔
43Linear OA(881, 32789, F8, 18) (dual of [32789, 32708, 19]-code) [i]✔