Information on Result #699167

Linear OA(8143, 531444, F81, 15) (dual of [531444, 531401, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
  1. linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using

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(986, 1062888, F9, 15) (dual of [1062888, 1062802, 16]-code) [i]Trace Code
2Linear OA(8150, 531526, F81, 15) (dual of [531526, 531476, 16]-code) [i](u, u+v)-Construction
3Linear OA(8151, 531544, F81, 15) (dual of [531544, 531493, 16]-code) [i]
4Linear OA(8152, 531560, F81, 15) (dual of [531560, 531508, 16]-code) [i]
5Linear OA(8153, 531608, F81, 15) (dual of [531608, 531555, 16]-code) [i]
6Linear OA(8154, 531626, F81, 15) (dual of [531626, 531572, 16]-code) [i]
7Linear OA(8155, 531690, F81, 15) (dual of [531690, 531635, 16]-code) [i]
8Linear OA(8156, 538007, F81, 15) (dual of [538007, 537951, 16]-code) [i]
9Linear OOA(8143, 265722, F81, 2, 15) (dual of [(265722, 2), 531401, 16]-NRT-code) [i]OOA Folding
10Linear OOA(8143, 177148, F81, 3, 15) (dual of [(177148, 3), 531401, 16]-NRT-code) [i]
11Linear OOA(8143, 132861, F81, 4, 15) (dual of [(132861, 4), 531401, 16]-NRT-code) [i]