Information on Result #700103

Linear OA(12876, 16413, F128, 34) (dual of [16413, 16337, 35]-code), using construction X applied to Ce(33) ⊂ Ce(23) 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(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), 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(6489, 16413, S64, 34) [i]Discarding Parts of the Base for OAs
2Linear OOA(12876, 8732, F128, 2, 34) (dual of [(8732, 2), 17388, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12876, 8732, F128, 3, 34) (dual of [(8732, 3), 26120, 35]-NRT-code) [i]
4Linear OOA(12876, 8732, F128, 4, 34) (dual of [(8732, 4), 34852, 35]-NRT-code) [i]
5Digital (42, 76, 8732)-net over F128 [i]
6Linear OOA(12876, 8206, F128, 2, 34) (dual of [(8206, 2), 16336, 35]-NRT-code) [i]OOA Folding
7Linear OOA(12876, 5471, F128, 3, 34) (dual of [(5471, 3), 16337, 35]-NRT-code) [i]
8Linear OOA(12876, 4103, F128, 4, 34) (dual of [(4103, 4), 16336, 35]-NRT-code) [i]