Information on Result #686757
Linear OA(821, 32768, F8, 5) (dual of [32768, 32747, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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 OA(826, 32773, F8, 6) (dual of [32773, 32747, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(821, 32773, F8, 5) (dual of [32773, 32752, 6]-code) | [i] | ✔ | |
| 3 | Linear OA(840, 32787, F8, 9) (dual of [32787, 32747, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(847, 32794, F8, 10) (dual of [32794, 32747, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(846, 32789, F8, 10) (dual of [32789, 32743, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(841, 32789, F8, 9) (dual of [32789, 32748, 10]-code) | [i] | ✔ | |