Information on Result #700133

Linear OA(12871, 16422, F128, 30) (dual of [16422, 16351, 31]-code), using construction X applied to Ce(29) ⊂ Ce(16) based on
  1. linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(6483, 16422, S64, 30) [i]Discarding Parts of the Base for OAs
2Linear OOA(12871, 16422, F128, 2, 30) (dual of [(16422, 2), 32773, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12871, 16422, F128, 3, 30) (dual of [(16422, 3), 49195, 31]-NRT-code) [i]
4Linear OOA(12871, 16422, F128, 4, 30) (dual of [(16422, 4), 65617, 31]-NRT-code) [i]
5Digital (41, 71, 16422)-net over F128 [i]
6Linear OOA(12871, 8211, F128, 2, 30) (dual of [(8211, 2), 16351, 31]-NRT-code) [i]OOA Folding
7Linear OOA(12871, 5474, F128, 3, 30) (dual of [(5474, 3), 16351, 31]-NRT-code) [i]
8Linear OOA(12871, 4105, F128, 4, 30) (dual of [(4105, 4), 16349, 31]-NRT-code) [i]