Information on Result #700136

Linear OA(12865, 16422, F128, 27) (dual of [16422, 16357, 28]-code), using construction X applied to Ce(26) ⊂ Ce(13) based on
  1. linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(6476, 16422, S64, 27) [i]Discarding Parts of the Base for OAs
2Linear OOA(12865, 16422, F128, 2, 27) (dual of [(16422, 2), 32779, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12865, 16422, F128, 3, 27) (dual of [(16422, 3), 49201, 28]-NRT-code) [i]
4Linear OOA(12865, 16422, F128, 4, 27) (dual of [(16422, 4), 65623, 28]-NRT-code) [i]
5Digital (38, 65, 16422)-net over F128 [i]
6Linear OOA(12865, 8211, F128, 2, 27) (dual of [(8211, 2), 16357, 28]-NRT-code) [i]OOA Folding
7Linear OOA(12865, 5474, F128, 3, 27) (dual of [(5474, 3), 16357, 28]-NRT-code) [i]