Information on Result #614895

Linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(868, 32778, F8, 14) (dual of [32778, 32710, 15]-code) [i](u, u+v)-Construction
2Linear OA(869, 32782, F8, 14) (dual of [32782, 32713, 15]-code) [i]
3Linear OA(870, 32785, F8, 14) (dual of [32785, 32715, 15]-code) [i]
4Linear OA(871, 32792, F8, 14) (dual of [32792, 32721, 15]-code) [i]
5Linear OA(872, 32795, F8, 14) (dual of [32795, 32723, 15]-code) [i]
6Linear OA(872, 32780, F8, 14) (dual of [32780, 32708, 15]-code) [i]Generalized (u, u+v)-Construction
7Linear OOA(861, 24751, F8, 2, 14) (dual of [(24751, 2), 49441, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(861, 24751, F8, 3, 14) (dual of [(24751, 3), 74192, 15]-NRT-code) [i]
9Digital (47, 61, 24751)-net over F8 [i]
10Linear OA(870, 32778, F8, 14) (dual of [32778, 32708, 15]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(871, 32780, F8, 14) (dual of [32780, 32709, 15]-code) [i]
12Linear OA(872, 32787, F8, 14) (dual of [32787, 32715, 15]-code) [i]
13Linear OA(866, 32773, F8, 15) (dual of [32773, 32707, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
14Linear OA(861, 32773, F8, 14) (dual of [32773, 32712, 15]-code) [i]✔
15Linear OA(872, 32779, F8, 16) (dual of [32779, 32707, 17]-code) [i]✔
16Linear OA(873, 32777, F8, 17) (dual of [32777, 32704, 18]-code) [i]✔
17Linear OA(874, 32781, F8, 17) (dual of [32781, 32707, 18]-code) [i]✔
18Linear OA(862, 32779, F8, 14) (dual of [32779, 32717, 15]-code) [i]✔
19Linear OA(880, 32787, F8, 18) (dual of [32787, 32707, 19]-code) [i]✔
20Linear OA(864, 32786, F8, 14) (dual of [32786, 32722, 15]-code) [i]✔
21Linear OA(887, 32794, F8, 19) (dual of [32794, 32707, 20]-code) [i]✔
22Linear OA(865, 32792, F8, 14) (dual of [32792, 32727, 15]-code) [i]✔
23Linear OA(893, 32800, F8, 20) (dual of [32800, 32707, 21]-code) [i]✔
24Linear OA(867, 32799, F8, 14) (dual of [32799, 32732, 15]-code) [i]✔
25Linear OA(8102, 32809, F8, 21) (dual of [32809, 32707, 22]-code) [i]✔
26Linear OA(872, 32809, F8, 14) (dual of [32809, 32737, 15]-code) [i]✔
27Linear OA(8109, 32816, F8, 22) (dual of [32816, 32707, 23]-code) [i]✔
28Linear OA(8115, 32822, F8, 23) (dual of [32822, 32707, 24]-code) [i]✔
29Linear OA(8122, 32829, F8, 25) (dual of [32829, 32707, 26]-code) [i]✔
30Linear OA(8129, 32832, F8, 26) (dual of [32832, 32703, 27]-code) [i]✔
31Linear OA(8101, 32807, F8, 21) (dual of [32807, 32706, 22]-code) [i]✔
32Linear OA(871, 32807, F8, 14) (dual of [32807, 32736, 15]-code) [i]✔
33Linear OA(8129, 32834, F8, 26) (dual of [32834, 32705, 27]-code) [i]✔
34Linear OA(8130, 32836, F8, 26) (dual of [32836, 32706, 27]-code) [i]✔
35Linear OA(8131, 32838, F8, 26) (dual of [32838, 32707, 27]-code) [i]✔
36Linear OA(886, 32789, F8, 19) (dual of [32789, 32703, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
37Linear OA(881, 32789, F8, 18) (dual of [32789, 32708, 19]-code) [i]✔
38Linear OA(873, 32781, F8, 16) (dual of [32781, 32708, 17]-code) [i]✔
39Linear OA(863, 32781, F8, 14) (dual of [32781, 32718, 15]-code) [i]✔
40Linear OA(866, 32794, F8, 14) (dual of [32794, 32728, 15]-code) [i]✔
41Linear OA(862, 32785, F8, 13) (dual of [32785, 32723, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
42Linear OOA(861, 4681, F8, 14, 14) (dual of [(4681, 14), 65473, 15]-NRT-code) [i]OA Folding and Stacking