Information on Result #686754
Linear OA(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(837, 32774, F8, 9) (dual of [32774, 32737, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(831, 32773, F8, 7) (dual of [32773, 32742, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(843, 32777, F8, 10) (dual of [32777, 32734, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(844, 32781, F8, 10) (dual of [32781, 32737, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(850, 32787, F8, 11) (dual of [32787, 32737, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(834, 32786, F8, 7) (dual of [32786, 32752, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(857, 32794, F8, 12) (dual of [32794, 32737, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(863, 32800, F8, 13) (dual of [32800, 32737, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(872, 32809, F8, 14) (dual of [32809, 32737, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(871, 32807, F8, 14) (dual of [32807, 32736, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(862, 32795, F8, 13) (dual of [32795, 32733, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(856, 32789, F8, 12) (dual of [32789, 32733, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(851, 32789, F8, 11) (dual of [32789, 32738, 12]-code) | [i] | ✔ | |