Information on Result #686967

Linear OA(8147, 32833, F8, 30) (dual of [32833, 32686, 31]-code), using construction X applied to Ce(29) ⊂ Ce(18) based on
  1. linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using
    • the BCH-code C(I) with length 65 | 84−1, defining interval I = {1,8,15,…,64}, and designed minimum distance d ≥ |I|+1 = 11 [i]

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(8148, 32834, F8, 30) (dual of [32834, 32686, 31]-code) [i]Code Embedding in Larger Space
2Linear OOA(8147, 16416, F8, 2, 30) (dual of [(16416, 2), 32685, 31]-NRT-code) [i]OOA Folding
3Linear OOA(8147, 10944, F8, 3, 30) (dual of [(10944, 3), 32685, 31]-NRT-code) [i]