Information on Result #617479
Linear OA(2737, 19684, F27, 13) (dual of [19684, 19647, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2743, 19712, F27, 13) (dual of [19712, 19669, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2744, 19722, F27, 13) (dual of [19722, 19678, 14]-code) | [i] | ||
| 3 | Linear OA(2745, 19732, F27, 13) (dual of [19732, 19687, 14]-code) | [i] | ||
| 4 | Linear OA(2746, 19740, F27, 13) (dual of [19740, 19694, 14]-code) | [i] | ||
| 5 | Linear OA(2747, 19789, F27, 13) (dual of [19789, 19742, 14]-code) | [i] | ||
| 6 | Linear OA(2748, 20413, F27, 13) (dual of [20413, 20365, 14]-code) | [i] | ||
| 7 | Linear OA(2747, 19740, F27, 13) (dual of [19740, 19693, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2748, 19750, F27, 13) (dual of [19750, 19702, 14]-code) | [i] | ||
| 9 | Linear OA(2743, 19691, F27, 13) (dual of [19691, 19648, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2744, 19691, F27, 15) (dual of [19691, 19647, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2738, 19691, F27, 13) (dual of [19691, 19653, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(2752, 19699, F27, 17) (dual of [19699, 19647, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2740, 19699, F27, 13) (dual of [19699, 19659, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2760, 19707, F27, 19) (dual of [19707, 19647, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(2742, 19707, F27, 13) (dual of [19707, 19665, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(2768, 19712, F27, 21) (dual of [19712, 19644, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(2769, 19716, F27, 21) (dual of [19716, 19647, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(2767, 19712, F27, 20) (dual of [19712, 19645, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(2777, 19722, F27, 23) (dual of [19722, 19645, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(2778, 19725, F27, 23) (dual of [19725, 19647, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2776, 19722, F27, 22) (dual of [19722, 19646, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(2786, 19732, F27, 25) (dual of [19732, 19646, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(2787, 19734, F27, 25) (dual of [19734, 19647, 26]-code) | [i] | ✔ | |