Information on Result #687312

Linear OA(853, 4116, F8, 14) (dual of [4116, 4063, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
  1. linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(84, 20, F8, 3) (dual of [20, 16, 4]-code or 20-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(853, 2058, F8, 2, 14) (dual of [(2058, 2), 4063, 15]-NRT-code) [i]OOA Folding
2Linear OOA(853, 1372, F8, 3, 14) (dual of [(1372, 3), 4063, 15]-NRT-code) [i]
3Linear OOA(853, 588, F8, 14, 14) (dual of [(588, 14), 8179, 15]-NRT-code) [i]OA Folding and Stacking