Information on Result #700124

Linear OA(12878, 16419, F128, 34) (dual of [16419, 16341, 35]-code), using construction X applied to Ce(33) ⊂ Ce(21) based on
  1. linear OA(12867, 16384, F128, 34) (dual of [16384, 16317, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), 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(6491, 16419, S64, 34) [i]Discarding Parts of the Base for OAs
2Linear OOA(12878, 11830, F128, 2, 34) (dual of [(11830, 2), 23582, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12878, 11830, F128, 3, 34) (dual of [(11830, 3), 35412, 35]-NRT-code) [i]
4Linear OOA(12878, 11830, F128, 4, 34) (dual of [(11830, 4), 47242, 35]-NRT-code) [i]
5Digital (44, 78, 11830)-net over F128 [i]
6Linear OOA(12878, 8209, F128, 2, 34) (dual of [(8209, 2), 16340, 35]-NRT-code) [i]OOA Folding
7Linear OOA(12878, 5473, F128, 3, 34) (dual of [(5473, 3), 16341, 35]-NRT-code) [i]