Information on Result #619249
Linear OA(8125, 531442, F81, 9) (dual of [531442, 531417, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
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(950, 1062884, F9, 9) (dual of [1062884, 1062834, 10]-code) | [i] | Trace Code | |
| 2 | Linear OA(8129, 531524, F81, 9) (dual of [531524, 531495, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8130, 531542, F81, 9) (dual of [531542, 531512, 10]-code) | [i] | ||
| 4 | Linear OA(8131, 537922, F81, 9) (dual of [537922, 537891, 10]-code) | [i] | ||
| 5 | Linear OA(8132, 538003, F81, 9) (dual of [538003, 537971, 10]-code) | [i] | ||
| 6 | Linear OA(8132, 531606, F81, 9) (dual of [531606, 531574, 10]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(8129, 531447, F81, 9) (dual of [531447, 531418, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(8132, 531449, F81, 11) (dual of [531449, 531417, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(8126, 531449, F81, 9) (dual of [531449, 531423, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(8140, 531457, F81, 13) (dual of [531457, 531417, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(8128, 531457, F81, 9) (dual of [531457, 531429, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(8148, 531465, F81, 15) (dual of [531465, 531417, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(8156, 531473, F81, 17) (dual of [531473, 531417, 18]-code) | [i] | ✔ | |