Information on Result #700034

Linear OA(12829, 16398, F128, 13) (dual of [16398, 16369, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
  1. linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), 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(6434, 16398, S64, 13) [i]Discarding Parts of the Base for OAs
2Linear OOA(12829, 8929, F128, 2, 13) (dual of [(8929, 2), 17829, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12829, 8929, F128, 3, 13) (dual of [(8929, 3), 26758, 14]-NRT-code) [i]
4Linear OOA(12829, 8929, F128, 4, 13) (dual of [(8929, 4), 35687, 14]-NRT-code) [i]
5Digital (16, 29, 8929)-net over F128 [i]
6Linear OOA(12829, 8199, F128, 2, 13) (dual of [(8199, 2), 16369, 14]-NRT-code) [i]OOA Folding
7Linear OOA(12829, 5466, F128, 3, 13) (dual of [(5466, 3), 16369, 14]-NRT-code) [i]