Information on Result #617401
Linear OA(2721, 531441, F27, 6) (dual of [531441, 531420, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(2724, 531469, F27, 6) (dual of [531469, 531445, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2725, 532171, F27, 6) (dual of [532171, 532146, 7]-code) | [i] | ||
| 3 | Linear OA(2725, 531445, F27, 7) (dual of [531445, 531420, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2721, 531445, F27, 6) (dual of [531445, 531424, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(2730, 531450, F27, 8) (dual of [531450, 531420, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(2722, 531450, F27, 6) (dual of [531450, 531428, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(2735, 531455, F27, 9) (dual of [531455, 531420, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2723, 531455, F27, 6) (dual of [531455, 531432, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(2740, 531460, F27, 10) (dual of [531460, 531420, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(2745, 531465, F27, 11) (dual of [531465, 531420, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(2750, 531469, F27, 12) (dual of [531469, 531419, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2751, 531471, F27, 12) (dual of [531471, 531420, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(2730, 531451, F27, 8) (dual of [531451, 531421, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(2722, 531451, F27, 6) (dual of [531451, 531429, 7]-code) | [i] | ✔ | |