Information on Result #617382
Linear OA(2713, 531441, F27, 4) (dual of [531441, 531428, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, 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(2715, 531469, F27, 4) (dual of [531469, 531454, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2717, 531445, F27, 5) (dual of [531445, 531428, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2713, 531445, F27, 4) (dual of [531445, 531432, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(2722, 531450, F27, 6) (dual of [531450, 531428, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(2714, 531450, F27, 4) (dual of [531450, 531436, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(2727, 531455, F27, 7) (dual of [531455, 531428, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(2732, 531460, F27, 8) (dual of [531460, 531428, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(2714, 531447, F27, 4) (dual of [531447, 531433, 5]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(2722, 531451, F27, 6) (dual of [531451, 531429, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(2714, 531451, F27, 4) (dual of [531451, 531437, 5]-code) | [i] | ✔ | |