Information on Result #614873
Linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(857, 32777, F8, 12) (dual of [32777, 32720, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(858, 32782, F8, 12) (dual of [32782, 32724, 13]-code) | [i] | ||
| 3 | Linear OA(859, 32785, F8, 12) (dual of [32785, 32726, 13]-code) | [i] | ||
| 4 | Linear OA(860, 32792, F8, 12) (dual of [32792, 32732, 13]-code) | [i] | ||
| 5 | Linear OOA(851, 21194, F8, 2, 12) (dual of [(21194, 2), 42337, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(851, 21194, F8, 3, 12) (dual of [(21194, 3), 63531, 13]-NRT-code) | [i] | ||
| 7 | Digital (39, 51, 21194)-net over F8 | [i] | ||
| 8 | Linear OA(860, 32778, F8, 12) (dual of [32778, 32718, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(856, 32773, F8, 13) (dual of [32773, 32717, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(851, 32773, F8, 12) (dual of [32773, 32722, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(862, 32779, F8, 14) (dual of [32779, 32717, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(852, 32779, F8, 12) (dual of [32779, 32727, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(869, 32786, F8, 15) (dual of [32786, 32717, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(854, 32786, F8, 12) (dual of [32786, 32732, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(877, 32794, F8, 17) (dual of [32794, 32717, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(875, 32792, F8, 16) (dual of [32792, 32717, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(857, 32794, F8, 12) (dual of [32794, 32737, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(883, 32800, F8, 18) (dual of [32800, 32717, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(858, 32800, F8, 12) (dual of [32800, 32742, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(892, 32809, F8, 19) (dual of [32809, 32717, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(899, 32816, F8, 20) (dual of [32816, 32717, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(8105, 32822, F8, 21) (dual of [32822, 32717, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(8111, 32828, F8, 22) (dual of [32828, 32717, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(8117, 32833, F8, 23) (dual of [32833, 32716, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(891, 32807, F8, 19) (dual of [32807, 32716, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(876, 32789, F8, 17) (dual of [32789, 32713, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(876, 32794, F8, 16) (dual of [32794, 32718, 17]-code) | [i] | ✔ | |
| 28 | Linear OA(868, 32781, F8, 15) (dual of [32781, 32713, 16]-code) | [i] | ✔ | |
| 29 | Linear OA(863, 32781, F8, 14) (dual of [32781, 32718, 15]-code) | [i] | ✔ | |
| 30 | Linear OA(853, 32781, F8, 12) (dual of [32781, 32728, 13]-code) | [i] | ✔ | |
| 31 | Linear OA(856, 32789, F8, 12) (dual of [32789, 32733, 13]-code) | [i] | ✔ | |
| 32 | Linear OA(867, 32785, F8, 14) (dual of [32785, 32718, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |