Information on Result #699170

Linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
  1. linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(974, 1062888, F9, 13) (dual of [1062888, 1062814, 14]-code) [i]Trace Code
2Linear OA(8143, 531526, F81, 13) (dual of [531526, 531483, 14]-code) [i](u, u+v)-Construction
3Linear OA(8144, 531544, F81, 13) (dual of [531544, 531500, 14]-code) [i]
4Linear OA(8145, 531560, F81, 13) (dual of [531560, 531515, 14]-code) [i]
5Linear OA(8146, 531610, F81, 13) (dual of [531610, 531564, 14]-code) [i]
6Linear OA(8147, 531649, F81, 13) (dual of [531649, 531602, 14]-code) [i]
7Linear OA(8148, 538007, F81, 13) (dual of [538007, 537959, 14]-code) [i]
8Linear OOA(8137, 265722, F81, 2, 13) (dual of [(265722, 2), 531407, 14]-NRT-code) [i]OOA Folding
9Linear OOA(8137, 177148, F81, 3, 13) (dual of [(177148, 3), 531407, 14]-NRT-code) [i]
10Linear OOA(8137, 132861, F81, 4, 13) (dual of [(132861, 4), 531407, 14]-NRT-code) [i]