Information on Result #695598
Linear OA(2713, 729, F27, 7) (dual of [729, 716, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, 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(2715, 731, F27, 8) (dual of [731, 716, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2713, 731, F27, 7) (dual of [731, 718, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(2721, 737, F27, 10) (dual of [737, 716, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(2715, 737, F27, 7) (dual of [737, 722, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(2727, 743, F27, 12) (dual of [743, 716, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(2733, 749, F27, 14) (dual of [749, 716, 15]-code) | [i] | ✔ | |