Information on Result #694961

Linear OA(2785, 19684, F27, 29) (dual of [19684, 19599, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2785, 11914, F27, 2, 29) (dual of [(11914, 2), 23743, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (56, 85, 11914)-net over F27 [i]
3Linear OA(2792, 19691, F27, 31) (dual of [19691, 19599, 32]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(2786, 19691, F27, 29) (dual of [19691, 19605, 30]-code) [i]✔
5Linear OA(27100, 19699, F27, 33) (dual of [19699, 19599, 34]-code) [i]✔
6Linear OA(2788, 19699, F27, 29) (dual of [19699, 19611, 30]-code) [i]✔
7Linear OA(27108, 19707, F27, 35) (dual of [19707, 19599, 36]-code) [i]✔
8Linear OA(2790, 19707, F27, 29) (dual of [19707, 19617, 30]-code) [i]✔
9Linear OA(2792, 19712, F27, 29) (dual of [19712, 19620, 30]-code) [i]✔
10Linear OA(2793, 19716, F27, 29) (dual of [19716, 19623, 30]-code) [i]✔
11Linear OA(2791, 19712, F27, 28) (dual of [19712, 19621, 29]-code) [i]✔
12Linear OA(2795, 19722, F27, 29) (dual of [19722, 19627, 30]-code) [i]✔
13Linear OA(2796, 19725, F27, 29) (dual of [19725, 19629, 30]-code) [i]✔
14Linear OA(2794, 19722, F27, 28) (dual of [19722, 19628, 29]-code) [i]✔
15Linear OA(2798, 19732, F27, 29) (dual of [19732, 19634, 30]-code) [i]✔