Information on Result #617387
Linear OA(279, 730, F27, 5) (dual of [730, 721, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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(2740, 20414, F27, 11) (dual of [20414, 20374, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2750, 532172, F27, 11) (dual of [532172, 532122, 12]-code) | [i] | ||
| 3 | Linear OA(2715, 19710, F27, 5) (dual of [19710, 19695, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 4 | Linear OA(2710, 732, F27, 5) (dual of [732, 722, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(2714, 735, F27, 7) (dual of [735, 721, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(2720, 741, F27, 9) (dual of [741, 721, 10]-code) | [i] | ✔ | |