Information on Result #737806

Linear OA(8131, 32807, F8, 28) (dual of [32807, 32676, 29]-code), using construction X applied to Ce(27) ⊂ Ce(20) based on
  1. linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(810, 39, F8, 6) (dual of [39, 29, 7]-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 OOA(8131, 16403, F8, 2, 28) (dual of [(16403, 2), 32675, 29]-NRT-code) [i]OOA Folding
2Linear OOA(8131, 10935, F8, 3, 28) (dual of [(10935, 3), 32674, 29]-NRT-code) [i]