Information on Result #694817
Linear OA(2725, 531441, F27, 7) (dual of [531441, 531416, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2729, 531445, F27, 8) (dual of [531445, 531416, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2725, 531445, F27, 7) (dual of [531445, 531420, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(2739, 531455, F27, 10) (dual of [531455, 531416, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(2727, 531455, F27, 7) (dual of [531455, 531428, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(2749, 531465, F27, 12) (dual of [531465, 531416, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(2760, 531476, F27, 14) (dual of [531476, 531416, 15]-code) | [i] | ✔ | |