Information on Result #617456

Linear OA(2731, 19684, F27, 11) (dual of [19684, 19653, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(2736, 19712, F27, 11) (dual of [19712, 19676, 12]-code) [i](u, u+v)-Construction
2Linear OA(2737, 19722, F27, 11) (dual of [19722, 19685, 12]-code) [i]
3Linear OA(2738, 20387, F27, 11) (dual of [20387, 20349, 12]-code) [i]
4Linear OA(2740, 20414, F27, 11) (dual of [20414, 20374, 12]-code) [i]
5Linear OA(2740, 20415, F27, 11) (dual of [20415, 20375, 12]-code) [i]
6Linear OA(2740, 19696, F27, 11) (dual of [19696, 19656, 12]-code) [i]Generalized (u, u+v)-Construction
7Linear OA(2739, 19740, F27, 11) (dual of [19740, 19701, 12]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(2740, 19750, F27, 11) (dual of [19750, 19710, 12]-code) [i]
9Linear OA(2736, 19690, F27, 11) (dual of [19690, 19654, 12]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(2738, 19691, F27, 13) (dual of [19691, 19653, 14]-code) [i]✔
11Linear OA(2732, 19691, F27, 11) (dual of [19691, 19659, 12]-code) [i]✔
12Linear OA(2746, 19699, F27, 15) (dual of [19699, 19653, 16]-code) [i]✔
13Linear OA(2734, 19699, F27, 11) (dual of [19699, 19665, 12]-code) [i]✔
14Linear OA(2754, 19707, F27, 17) (dual of [19707, 19653, 18]-code) [i]✔
15Linear OA(2762, 19712, F27, 19) (dual of [19712, 19650, 20]-code) [i]✔
16Linear OA(2763, 19716, F27, 19) (dual of [19716, 19653, 20]-code) [i]✔
17Linear OA(2761, 19712, F27, 18) (dual of [19712, 19651, 19]-code) [i]✔
18Linear OA(2771, 19722, F27, 21) (dual of [19722, 19651, 22]-code) [i]✔
19Linear OA(2772, 19725, F27, 21) (dual of [19725, 19653, 22]-code) [i]✔