Information on Result #700119

Linear OA(12861, 16416, F128, 26) (dual of [16416, 16355, 27]-code), using construction X applied to Ce(25) ⊂ Ce(14) based on
  1. linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(6472, 16416, S64, 26) [i]Discarding Parts of the Base for OAs
2Linear OOA(12861, 14297, F128, 2, 26) (dual of [(14297, 2), 28533, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12861, 14297, F128, 3, 26) (dual of [(14297, 3), 42830, 27]-NRT-code) [i]
4Linear OOA(12861, 14297, F128, 4, 26) (dual of [(14297, 4), 57127, 27]-NRT-code) [i]
5Digital (35, 61, 14297)-net over F128 [i]
6Linear OOA(12861, 8208, F128, 2, 26) (dual of [(8208, 2), 16355, 27]-NRT-code) [i]OOA Folding
7Linear OOA(12861, 5472, F128, 3, 26) (dual of [(5472, 3), 16355, 27]-NRT-code) [i]
8Linear OOA(12861, 4104, F128, 4, 26) (dual of [(4104, 4), 16355, 27]-NRT-code) [i]