Information on Result #699165

Linear OA(8146, 531444, F81, 16) (dual of [531444, 531398, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
  1. linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. 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]
  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(992, 1062888, F9, 16) (dual of [1062888, 1062796, 17]-code) [i]Trace Code
2Linear OA(8154, 531526, F81, 16) (dual of [531526, 531472, 17]-code) [i](u, u+v)-Construction
3Linear OA(8155, 531544, F81, 16) (dual of [531544, 531489, 17]-code) [i]
4Linear OA(8156, 531560, F81, 16) (dual of [531560, 531504, 17]-code) [i]
5Linear OA(8157, 531562, F81, 16) (dual of [531562, 531505, 17]-code) [i]
6Linear OA(8158, 531608, F81, 16) (dual of [531608, 531550, 17]-code) [i]
7Linear OA(8159, 531626, F81, 16) (dual of [531626, 531567, 17]-code) [i]
8Linear OA(8160, 531771, F81, 16) (dual of [531771, 531711, 17]-code) [i]
9Linear OOA(8146, 265722, F81, 2, 16) (dual of [(265722, 2), 531398, 17]-NRT-code) [i]OOA Folding
10Linear OOA(8146, 177148, F81, 3, 16) (dual of [(177148, 3), 531398, 17]-NRT-code) [i]
11Linear OOA(8146, 132861, F81, 4, 16) (dual of [(132861, 4), 531398, 17]-NRT-code) [i]