Information on Result #617399
Linear OA(2711, 729, F27, 6) (dual of [729, 718, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, 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(2748, 20413, F27, 13) (dual of [20413, 20365, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2760, 532171, F27, 13) (dual of [532171, 532111, 14]-code) | [i] | ||
| 3 | Linear OA(2714, 757, F27, 6) (dual of [757, 743, 7]-code) | [i] | ||
| 4 | Linear OA(2713, 731, F27, 7) (dual of [731, 718, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(2711, 731, F27, 6) (dual of [731, 720, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(2716, 734, F27, 8) (dual of [734, 718, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(2712, 734, F27, 6) (dual of [734, 722, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(2719, 737, F27, 9) (dual of [737, 718, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(2713, 737, F27, 6) (dual of [737, 724, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(2722, 740, F27, 10) (dual of [740, 718, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2725, 743, F27, 11) (dual of [743, 718, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(2728, 746, F27, 12) (dual of [746, 718, 13]-code) | [i] | ✔ | |