Information on Result #617579

Linear OA(2761, 19684, F27, 21) (dual of [19684, 19623, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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:

ResultThis
result
only		Method
1Linear OA(2771, 19712, F27, 21) (dual of [19712, 19641, 22]-code) [i](u, u+v)-Construction
2Linear OA(2772, 19722, F27, 21) (dual of [19722, 19650, 22]-code) [i]
3Linear OA(2773, 19732, F27, 21) (dual of [19732, 19659, 22]-code) [i]
4Linear OA(2774, 19736, F27, 21) (dual of [19736, 19662, 22]-code) [i]
5Linear OA(2775, 19748, F27, 21) (dual of [19748, 19673, 22]-code) [i]
6Linear OA(2776, 19752, F27, 21) (dual of [19752, 19676, 22]-code) [i]
7Linear OA(2777, 19760, F27, 21) (dual of [19760, 19683, 22]-code) [i]
8Linear OA(2778, 19789, F27, 21) (dual of [19789, 19711, 22]-code) [i]
9Linear OA(2779, 19867, F27, 21) (dual of [19867, 19788, 22]-code) [i]
10Linear OA(2780, 20413, F27, 21) (dual of [20413, 20333, 22]-code) [i]
11Linear OA(2780, 19705, F27, 21) (dual of [19705, 19625, 22]-code) [i]Generalized (u, u+v)-Construction
12Linear OA(2777, 19702, F27, 21) (dual of [19702, 19625, 22]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(2778, 19740, F27, 21) (dual of [19740, 19662, 22]-code) [i]
14Linear OA(2779, 19750, F27, 21) (dual of [19750, 19671, 22]-code) [i]
15Linear OA(2780, 19760, F27, 21) (dual of [19760, 19680, 22]-code) [i]
16Linear OA(2771, 19695, F27, 21) (dual of [19695, 19624, 22]-code) [i]✔Construction X with Cyclic Codes
17Linear OA(2768, 19691, F27, 23) (dual of [19691, 19623, 24]-code) [i]✔
18Linear OA(2762, 19691, F27, 21) (dual of [19691, 19629, 22]-code) [i]✔
19Linear OA(2776, 19699, F27, 25) (dual of [19699, 19623, 26]-code) [i]✔
20Linear OA(2764, 19699, F27, 21) (dual of [19699, 19635, 22]-code) [i]✔
21Linear OA(2784, 19707, F27, 27) (dual of [19707, 19623, 28]-code) [i]✔
22Linear OA(2766, 19707, F27, 21) (dual of [19707, 19641, 22]-code) [i]✔
23Linear OA(2792, 19712, F27, 29) (dual of [19712, 19620, 30]-code) [i]✔
24Linear OA(2793, 19716, F27, 29) (dual of [19716, 19623, 30]-code) [i]✔
25Linear OA(2791, 19712, F27, 28) (dual of [19712, 19621, 29]-code) [i]✔
26Linear OA(2768, 19712, F27, 21) (dual of [19712, 19644, 22]-code) [i]✔
27Linear OA(2769, 19716, F27, 21) (dual of [19716, 19647, 22]-code) [i]✔
28Linear OA(2767, 19712, F27, 20) (dual of [19712, 19645, 21]-code) [i]✔
29Linear OA(27101, 19722, F27, 31) (dual of [19722, 19621, 32]-code) [i]✔
30Linear OA(27102, 19725, F27, 31) (dual of [19725, 19623, 32]-code) [i]✔
31Linear OA(27100, 19722, F27, 30) (dual of [19722, 19622, 31]-code) [i]✔
32Linear OA(2771, 19722, F27, 21) (dual of [19722, 19651, 22]-code) [i]✔
33Linear OA(2772, 19725, F27, 21) (dual of [19725, 19653, 22]-code) [i]✔
34Linear OA(27110, 19732, F27, 33) (dual of [19732, 19622, 34]-code) [i]✔
35Linear OA(27109, 19732, F27, 32) (dual of [19732, 19623, 33]-code) [i]✔