Information on Result #737803

Linear OA(8151, 32807, F8, 33) (dual of [32807, 32656, 34]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
  1. linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(8151, 16403, F8, 2, 33) (dual of [(16403, 2), 32655, 34]-NRT-code) [i]OOA Folding
2Linear OOA(8151, 10935, F8, 3, 33) (dual of [(10935, 3), 32654, 34]-NRT-code) [i]