Information on Result #686862

Linear OA(840, 32792, F8, 8) (dual of [32792, 32752, 9]-code), using construction X applied to Ce(8) ⊂ Ce(3) based on
  1. linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(816, 32768, F8, 4) (dual of [32768, 32752, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), 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(840, 16396, F8, 2, 8) (dual of [(16396, 2), 32752, 9]-NRT-code) [i]OOA Folding
2Linear OOA(840, 10930, F8, 3, 8) (dual of [(10930, 3), 32750, 9]-NRT-code) [i]
3Linear OOA(840, 8198, F8, 8, 8) (dual of [(8198, 8), 65544, 9]-NRT-code) [i]OA Folding and Stacking