Information on Result #694959

Linear OA(2791, 19684, F27, 31) (dual of [19684, 19593, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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 OOA(2791, 12411, F27, 2, 31) (dual of [(12411, 2), 24731, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (60, 91, 12411)-net over F27 [i]
3Linear OA(2798, 19691, F27, 33) (dual of [19691, 19593, 34]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(2792, 19691, F27, 31) (dual of [19691, 19599, 32]-code) [i]✔
5Linear OA(27106, 19699, F27, 35) (dual of [19699, 19593, 36]-code) [i]✔
6Linear OA(2794, 19699, F27, 31) (dual of [19699, 19605, 32]-code) [i]✔
7Linear OA(2796, 19707, F27, 31) (dual of [19707, 19611, 32]-code) [i]✔
8Linear OA(2798, 19712, F27, 31) (dual of [19712, 19614, 32]-code) [i]✔
9Linear OA(2799, 19716, F27, 31) (dual of [19716, 19617, 32]-code) [i]✔
10Linear OA(2797, 19712, F27, 30) (dual of [19712, 19615, 31]-code) [i]✔
11Linear OA(27101, 19722, F27, 31) (dual of [19722, 19621, 32]-code) [i]✔
12Linear OA(27102, 19725, F27, 31) (dual of [19725, 19623, 32]-code) [i]✔
13Linear OA(27100, 19722, F27, 30) (dual of [19722, 19622, 31]-code) [i]✔
14Linear OA(27104, 19732, F27, 31) (dual of [19732, 19628, 32]-code) [i]✔
15Linear OA(27105, 19734, F27, 31) (dual of [19734, 19629, 32]-code) [i]✔