Information on Result #614780
Linear OA(816, 32768, F8, 4) (dual of [32768, 32752, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(818, 32777, F8, 4) (dual of [32777, 32759, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(821, 32773, F8, 5) (dual of [32773, 32752, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(816, 32773, F8, 4) (dual of [32773, 32757, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(827, 32779, F8, 6) (dual of [32779, 32752, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(817, 32779, F8, 4) (dual of [32779, 32762, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(834, 32786, F8, 7) (dual of [32786, 32752, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(840, 32792, F8, 8) (dual of [32792, 32752, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(841, 32789, F8, 9) (dual of [32789, 32748, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(817, 32775, F8, 4) (dual of [32775, 32758, 5]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(827, 32780, F8, 6) (dual of [32780, 32753, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(817, 32780, F8, 4) (dual of [32780, 32763, 5]-code) | [i] | ✔ | |