Information on Result #700111

Linear OA(12877, 16416, F128, 34) (dual of [16416, 16339, 35]-code), using construction X applied to Ce(33) ⊂ Ce(22) 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(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(12810, 32, F128, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,128)), 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(6490, 16416, S64, 34) [i]Discarding Parts of the Base for OAs
2Linear OOA(12877, 10164, F128, 2, 34) (dual of [(10164, 2), 20251, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12877, 10164, F128, 3, 34) (dual of [(10164, 3), 30415, 35]-NRT-code) [i]
4Linear OOA(12877, 10164, F128, 4, 34) (dual of [(10164, 4), 40579, 35]-NRT-code) [i]
5Digital (43, 77, 10164)-net over F128 [i]
6Linear OOA(12877, 8208, F128, 2, 34) (dual of [(8208, 2), 16339, 35]-NRT-code) [i]OOA Folding
7Linear OOA(12877, 5472, F128, 3, 34) (dual of [(5472, 3), 16339, 35]-NRT-code) [i]
8Linear OOA(12877, 4104, F128, 4, 34) (dual of [(4104, 4), 16339, 35]-NRT-code) [i]