Information on Result #700134

Linear OA(12869, 16422, F128, 29) (dual of [16422, 16353, 30]-code), using construction X applied to Ce(28) ⊂ Ce(15) based on
  1. linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(6481, 16422, S64, 29) [i]Discarding Parts of the Base for OAs
2Linear OOA(12869, 16422, F128, 2, 29) (dual of [(16422, 2), 32775, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12869, 16422, F128, 3, 29) (dual of [(16422, 3), 49197, 30]-NRT-code) [i]
4Linear OOA(12869, 16422, F128, 4, 29) (dual of [(16422, 4), 65619, 30]-NRT-code) [i]
5Digital (40, 69, 16422)-net over F128 [i]
6Linear OOA(12869, 8211, F128, 2, 29) (dual of [(8211, 2), 16353, 30]-NRT-code) [i]OOA Folding
7Linear OOA(12869, 5474, F128, 3, 29) (dual of [(5474, 3), 16353, 30]-NRT-code) [i]