Information on Result #700135

Linear OA(12867, 16422, F128, 28) (dual of [16422, 16355, 29]-code), using construction X applied to Ce(27) ⊂ Ce(14) based on
  1. linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(12812, 38, F128, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,128)), 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
1OA(6479, 16422, S64, 28) [i]Discarding Parts of the Base for OAs
2Linear OOA(12867, 16422, F128, 2, 28) (dual of [(16422, 2), 32777, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12867, 16422, F128, 3, 28) (dual of [(16422, 3), 49199, 29]-NRT-code) [i]
4Linear OOA(12867, 16422, F128, 4, 28) (dual of [(16422, 4), 65621, 29]-NRT-code) [i]
5Digital (39, 67, 16422)-net over F128 [i]
6Linear OOA(12867, 8211, F128, 2, 28) (dual of [(8211, 2), 16355, 29]-NRT-code) [i]OOA Folding
7Linear OOA(12867, 5474, F128, 3, 28) (dual of [(5474, 3), 16355, 29]-NRT-code) [i]
8Linear OOA(12867, 4105, F128, 4, 28) (dual of [(4105, 4), 16353, 29]-NRT-code) [i]
9Linear OOA(12867, 1173, F128, 28, 28) (dual of [(1173, 28), 32777, 29]-NRT-code) [i]OA Folding and Stacking