Information on Result #700138

Linear OA(12876, 16425, F128, 32) (dual of [16425, 16349, 33]-code), using construction X applied to Ce(31) ⊂ Ce(17) based on
  1. linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(12813, 41, F128, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,128)), 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, 16425, S64, 32) [i]Discarding Parts of the Base for OAs
2Linear OOA(12876, 16425, F128, 2, 32) (dual of [(16425, 2), 32774, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12876, 16425, F128, 3, 32) (dual of [(16425, 3), 49199, 33]-NRT-code) [i]
4Linear OOA(12876, 16425, F128, 4, 32) (dual of [(16425, 4), 65624, 33]-NRT-code) [i]
5Digital (44, 76, 16425)-net over F128 [i]
6Linear OOA(12876, 8212, F128, 2, 32) (dual of [(8212, 2), 16348, 33]-NRT-code) [i]OOA Folding
7Linear OOA(12876, 5475, F128, 3, 32) (dual of [(5475, 3), 16349, 33]-NRT-code) [i]
8Linear OOA(12876, 4106, F128, 4, 32) (dual of [(4106, 4), 16348, 33]-NRT-code) [i]