Information on Result #619219
Linear OA(8113, 531442, F81, 5) (dual of [531442, 531429, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(926, 1062884, F9, 5) (dual of [1062884, 1062858, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(8115, 531524, F81, 5) (dual of [531524, 531509, 6]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8116, 538085, F81, 5) (dual of [538085, 538069, 6]-code) | [i] | ||
| 4 | Linear OA(8115, 531445, F81, 5) (dual of [531445, 531430, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(8120, 531449, F81, 7) (dual of [531449, 531429, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(8114, 531449, F81, 5) (dual of [531449, 531435, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(8128, 531457, F81, 9) (dual of [531457, 531429, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(8120, 531450, F81, 7) (dual of [531450, 531430, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 9 | Linear OA(8114, 531450, F81, 5) (dual of [531450, 531436, 6]-code) | [i] | ✔ | |