Information on Result #694957

Linear OA(2797, 19684, F27, 33) (dual of [19684, 19587, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2797, 12917, F27, 2, 33) (dual of [(12917, 2), 25737, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (64, 97, 12917)-net over F27 [i]
3Linear OA(27104, 19691, F27, 35) (dual of [19691, 19587, 36]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(2798, 19691, F27, 33) (dual of [19691, 19593, 34]-code) [i]✔
5Linear OA(27100, 19699, F27, 33) (dual of [19699, 19599, 34]-code) [i]✔
6Linear OA(27102, 19707, F27, 33) (dual of [19707, 19605, 34]-code) [i]✔
7Linear OA(27104, 19712, F27, 33) (dual of [19712, 19608, 34]-code) [i]✔
8Linear OA(27105, 19716, F27, 33) (dual of [19716, 19611, 34]-code) [i]✔
9Linear OA(27103, 19712, F27, 32) (dual of [19712, 19609, 33]-code) [i]✔
10Linear OA(27107, 19722, F27, 33) (dual of [19722, 19615, 34]-code) [i]✔
11Linear OA(27108, 19725, F27, 33) (dual of [19725, 19617, 34]-code) [i]✔
12Linear OA(27106, 19722, F27, 32) (dual of [19722, 19616, 33]-code) [i]✔
13Linear OA(27110, 19732, F27, 33) (dual of [19732, 19622, 34]-code) [i]✔
14Linear OA(27109, 19732, F27, 32) (dual of [19732, 19623, 33]-code) [i]✔