Information on Result #619210
Linear OA(817, 6561, F81, 4) (dual of [6561, 6554, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, 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(914, 13122, F9, 4) (dual of [13122, 13108, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(8124, 13123, F81, 9) (dual of [13123, 13099, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8132, 538003, F81, 9) (dual of [538003, 537971, 10]-code) | [i] | ||
| 4 | Linear OA(817, 6563, F81, 4) (dual of [6563, 6556, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(8112, 6566, F81, 6) (dual of [6566, 6554, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(8115, 6569, F81, 7) (dual of [6569, 6554, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(8118, 6572, F81, 8) (dual of [6572, 6554, 9]-code) | [i] | ✔ | |