Information on Result #619548

Linear OA(12825, 2097153, F128, 9) (dual of [2097153, 2097128, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(12829, 2097282, F128, 9) (dual of [2097282, 2097253, 10]-code) [i](u, u+v)-Construction
2Linear OA(12830, 2097303, F128, 9) (dual of [2097303, 2097273, 10]-code) [i]
3Linear OA(12831, 2113409, F128, 9) (dual of [2113409, 2113378, 10]-code) [i]
4Linear OA(12832, 2113537, F128, 9) (dual of [2113537, 2113505, 10]-code) [i]
5Linear OA(12832, 2097411, F128, 9) (dual of [2097411, 2097379, 10]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(12829, 2097158, F128, 9) (dual of [2097158, 2097129, 10]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(12832, 2097160, F128, 11) (dual of [2097160, 2097128, 12]-code) [i]✔
8Linear OA(12826, 2097160, F128, 9) (dual of [2097160, 2097134, 10]-code) [i]✔
9Linear OA(12840, 2097168, F128, 13) (dual of [2097168, 2097128, 14]-code) [i]✔
10Linear OA(12828, 2097168, F128, 9) (dual of [2097168, 2097140, 10]-code) [i]✔
11Linear OA(12848, 2097176, F128, 15) (dual of [2097176, 2097128, 16]-code) [i]✔
12Linear OA(12856, 2097184, F128, 17) (dual of [2097184, 2097128, 18]-code) [i]✔
13Linear OOA(12825, 699051, F128, 3, 9) (dual of [(699051, 3), 2097128, 10]-NRT-code) [i]OOA Folding
14Linear OOA(12825, 524288, F128, 9, 9) (dual of [(524288, 9), 4718567, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row