Information on Result #737805

Linear OA(8136, 32807, F8, 29) (dual of [32807, 32671, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(8136, 16403, F8, 2, 29) (dual of [(16403, 2), 32670, 30]-NRT-code) [i]OOA Folding
2Linear OOA(8136, 10935, F8, 3, 29) (dual of [(10935, 3), 32669, 30]-NRT-code) [i]
3Linear OOA(8136, 2343, F8, 29, 29) (dual of [(2343, 29), 67811, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row