Information on Result #619701

Linear OA(12867, 16384, F128, 34) (dual of [16384, 16317, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(12869, 16386, F128, 35) (dual of [16386, 16317, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(12867, 16386, F128, 34) (dual of [16386, 16319, 35]-code) [i]✔
3Linear OA(12872, 16389, F128, 36) (dual of [16389, 16317, 37]-code) [i]✔
4Linear OA(12868, 16389, F128, 34) (dual of [16389, 16321, 35]-code) [i]✔
5Linear OA(12875, 16392, F128, 37) (dual of [16392, 16317, 38]-code) [i]✔
6Linear OA(12869, 16392, F128, 34) (dual of [16392, 16323, 35]-code) [i]✔
7Linear OA(12878, 16395, F128, 38) (dual of [16395, 16317, 39]-code) [i]✔
8Linear OA(12870, 16395, F128, 34) (dual of [16395, 16325, 35]-code) [i]✔
9Linear OA(12871, 16398, F128, 34) (dual of [16398, 16327, 35]-code) [i]✔
10Linear OA(12872, 16401, F128, 34) (dual of [16401, 16329, 35]-code) [i]✔
11Linear OA(12873, 16404, F128, 34) (dual of [16404, 16331, 35]-code) [i]✔
12Linear OA(12874, 16407, F128, 34) (dual of [16407, 16333, 35]-code) [i]✔
13Linear OA(12875, 16410, F128, 34) (dual of [16410, 16335, 35]-code) [i]✔
14Linear OA(12876, 16413, F128, 34) (dual of [16413, 16337, 35]-code) [i]✔
15Linear OA(12877, 16416, F128, 34) (dual of [16416, 16339, 35]-code) [i]✔
16Linear OA(12878, 16419, F128, 34) (dual of [16419, 16341, 35]-code) [i]✔
17Linear OOA(12867, 4096, F128, 4, 34) (dual of [(4096, 4), 16317, 35]-NRT-code) [i]OOA Folding
18Linear OOA(12867, 963, F128, 34, 34) (dual of [(963, 34), 32675, 35]-NRT-code) [i]OA Folding and Stacking