Information on Result #699162

Linear OA(8152, 531444, F81, 18) (dual of [531444, 531392, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
  1. linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(9104, 1062888, F9, 18) (dual of [1062888, 1062784, 19]-code) [i]Trace Code
2Linear OA(8161, 531526, F81, 18) (dual of [531526, 531465, 19]-code) [i](u, u+v)-Construction
3Linear OA(8162, 531544, F81, 18) (dual of [531544, 531482, 19]-code) [i]
4Linear OA(8163, 531560, F81, 18) (dual of [531560, 531497, 19]-code) [i]
5Linear OA(8164, 531562, F81, 18) (dual of [531562, 531498, 19]-code) [i]
6Linear OA(8165, 531608, F81, 18) (dual of [531608, 531543, 19]-code) [i]
7Linear OA(8166, 531626, F81, 18) (dual of [531626, 531560, 19]-code) [i]
8Linear OA(8167, 531772, F81, 18) (dual of [531772, 531705, 19]-code) [i]
9Linear OA(8168, 531775, F81, 18) (dual of [531775, 531707, 19]-code) [i]
10Linear OOA(8152, 265722, F81, 2, 18) (dual of [(265722, 2), 531392, 19]-NRT-code) [i]OOA Folding
11Linear OOA(8152, 177148, F81, 3, 18) (dual of [(177148, 3), 531392, 19]-NRT-code) [i]
12Linear OOA(8152, 132861, F81, 4, 18) (dual of [(132861, 4), 531392, 19]-NRT-code) [i]