Information on Result #700127

Linear OA(12866, 16419, F128, 28) (dual of [16419, 16353, 29]-code), using construction X applied to Ce(27) ⊂ Ce(15) based on
  1. linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(6477, 16419, S64, 28) [i]Discarding Parts of the Base for OAs
2Linear OOA(12866, 15388, F128, 2, 28) (dual of [(15388, 2), 30710, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12866, 15388, F128, 3, 28) (dual of [(15388, 3), 46098, 29]-NRT-code) [i]
4Linear OOA(12866, 15388, F128, 4, 28) (dual of [(15388, 4), 61486, 29]-NRT-code) [i]
5Digital (38, 66, 15388)-net over F128 [i]
6Linear OOA(12866, 8209, F128, 2, 28) (dual of [(8209, 2), 16352, 29]-NRT-code) [i]OOA Folding
7Linear OOA(12866, 5473, F128, 3, 28) (dual of [(5473, 3), 16353, 29]-NRT-code) [i]