Information on Result #617390
Linear OA(2713, 19684, F27, 5) (dual of [19684, 19671, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, 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(2715, 19712, F27, 5) (dual of [19712, 19697, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2716, 20441, F27, 5) (dual of [20441, 20425, 6]-code) | [i] | ||
| 3 | Linear OA(2720, 531468, F27, 5) (dual of [531468, 531448, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 4 | Linear OA(2715, 19687, F27, 5) (dual of [19687, 19672, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(2720, 19691, F27, 7) (dual of [19691, 19671, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(2714, 19691, F27, 5) (dual of [19691, 19677, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(2728, 19699, F27, 9) (dual of [19699, 19671, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2720, 19692, F27, 7) (dual of [19692, 19672, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 9 | Linear OA(2714, 19692, F27, 5) (dual of [19692, 19678, 6]-code) | [i] | ✔ | |