Information on Result #617411
Linear OA(2719, 19684, F27, 7) (dual of [19684, 19665, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(2722, 19712, F27, 7) (dual of [19712, 19690, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2723, 20414, F27, 7) (dual of [20414, 20391, 8]-code) | [i] | ||
| 3 | Linear OA(2724, 21392, F27, 7) (dual of [21392, 21368, 8]-code) | [i] | ||
| 4 | Linear OA(2724, 19740, F27, 7) (dual of [19740, 19716, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(2722, 19688, F27, 7) (dual of [19688, 19666, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2726, 19691, F27, 9) (dual of [19691, 19665, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2720, 19691, F27, 7) (dual of [19691, 19671, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(2734, 19699, F27, 11) (dual of [19699, 19665, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(2742, 19707, F27, 13) (dual of [19707, 19665, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2720, 19692, F27, 7) (dual of [19692, 19672, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 11 | Linear OOA(2719, 6561, F27, 7, 7) (dual of [(6561, 7), 45908, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |