Information on Result #686742
Linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OOA(881, 18216, F8, 2, 19) (dual of [(18216, 2), 36351, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(881, 18216, F8, 3, 19) (dual of [(18216, 3), 54567, 20]-NRT-code) | [i] | ||
| 3 | Digital (62, 81, 18216)-net over F8 | [i] | ||
| 4 | Linear OA(886, 32773, F8, 20) (dual of [32773, 32687, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(899, 32786, F8, 22) (dual of [32786, 32687, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(885, 32787, F8, 19) (dual of [32787, 32702, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(887, 32794, F8, 19) (dual of [32794, 32707, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(888, 32800, F8, 19) (dual of [32800, 32712, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(8122, 32809, F8, 26) (dual of [32809, 32687, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(892, 32809, F8, 19) (dual of [32809, 32717, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(8129, 32816, F8, 27) (dual of [32816, 32687, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(894, 32816, F8, 19) (dual of [32816, 32722, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(8135, 32822, F8, 28) (dual of [32822, 32687, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(895, 32822, F8, 19) (dual of [32822, 32727, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(8141, 32828, F8, 29) (dual of [32828, 32687, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(8147, 32833, F8, 30) (dual of [32833, 32686, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(8151, 32838, F8, 30) (dual of [32838, 32687, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(8158, 32845, F8, 31) (dual of [32845, 32687, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(8121, 32807, F8, 26) (dual of [32807, 32686, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(891, 32807, F8, 19) (dual of [32807, 32716, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(8149, 32836, F8, 30) (dual of [32836, 32687, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(8157, 32841, F8, 31) (dual of [32841, 32684, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(8111, 32794, F8, 24) (dual of [32794, 32683, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(898, 32781, F8, 22) (dual of [32781, 32683, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(886, 32789, F8, 19) (dual of [32789, 32703, 20]-code) | [i] | ✔ | |