Information on Result #617380
Linear OA(277, 729, F27, 4) (dual of [729, 722, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, 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(2732, 20413, F27, 9) (dual of [20413, 20381, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2740, 532171, F27, 9) (dual of [532171, 532131, 10]-code) | [i] | ||
| 3 | Linear OA(277, 731, F27, 4) (dual of [731, 724, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2712, 734, F27, 6) (dual of [734, 722, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(2715, 737, F27, 7) (dual of [737, 722, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(2718, 740, F27, 8) (dual of [740, 722, 9]-code) | [i] | ✔ | |