Information on Result #617666

Linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(27101, 19789, F27, 27) (dual of [19789, 19688, 28]-code) [i](u, u+v)-Construction
2Linear OA(27101, 19708, F27, 27) (dual of [19708, 19607, 28]-code) [i]Generalized (u, u+v)-Construction
3Linear OOA(2779, 11430, F27, 2, 27) (dual of [(11430, 2), 22781, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Digital (52, 79, 11430)-net over F27 [i]
5Linear OA(2792, 19698, F27, 27) (dual of [19698, 19606, 28]-code) [i]✔Construction X with Cyclic Codes
6Linear OA(2786, 19691, F27, 29) (dual of [19691, 19605, 30]-code) [i]✔
7Linear OA(2780, 19691, F27, 27) (dual of [19691, 19611, 28]-code) [i]✔
8Linear OA(2794, 19699, F27, 31) (dual of [19699, 19605, 32]-code) [i]✔
9Linear OA(2782, 19699, F27, 27) (dual of [19699, 19617, 28]-code) [i]✔
10Linear OA(27102, 19707, F27, 33) (dual of [19707, 19605, 34]-code) [i]✔
11Linear OA(2784, 19707, F27, 27) (dual of [19707, 19623, 28]-code) [i]✔
12Linear OA(27110, 19712, F27, 35) (dual of [19712, 19602, 36]-code) [i]✔
13Linear OA(27109, 19712, F27, 34) (dual of [19712, 19603, 35]-code) [i]✔
14Linear OA(27110, 19715, F27, 34) (dual of [19715, 19605, 35]-code) [i]✔
15Linear OA(2786, 19712, F27, 27) (dual of [19712, 19626, 28]-code) [i]✔
16Linear OA(2787, 19716, F27, 27) (dual of [19716, 19629, 28]-code) [i]✔
17Linear OA(2785, 19712, F27, 26) (dual of [19712, 19627, 27]-code) [i]✔
18Linear OA(2789, 19722, F27, 27) (dual of [19722, 19633, 28]-code) [i]✔
19Linear OA(2790, 19725, F27, 27) (dual of [19725, 19635, 28]-code) [i]✔
20Linear OA(2788, 19722, F27, 26) (dual of [19722, 19634, 27]-code) [i]✔
21Linear OA(2792, 19732, F27, 27) (dual of [19732, 19640, 28]-code) [i]✔
22Linear OA(2793, 19734, F27, 27) (dual of [19734, 19641, 28]-code) [i]✔
23Linear OA(2791, 19732, F27, 26) (dual of [19732, 19641, 27]-code) [i]✔
24Linear OOA(2779, 1514, F27, 27, 27) (dual of [(1514, 27), 40799, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row