Information on Result #700090

Linear OA(12867, 16410, F128, 30) (dual of [16410, 16343, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) based on
  1. linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(1288, 26, F128, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,128)), 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(6479, 16410, S64, 30) [i]Discarding Parts of the Base for OAs
2Linear OOA(12867, 8232, F128, 2, 30) (dual of [(8232, 2), 16397, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12867, 8232, F128, 3, 30) (dual of [(8232, 3), 24629, 31]-NRT-code) [i]
4Linear OOA(12867, 8232, F128, 4, 30) (dual of [(8232, 4), 32861, 31]-NRT-code) [i]
5Digital (37, 67, 8232)-net over F128 [i]
6Linear OOA(12867, 8205, F128, 2, 30) (dual of [(8205, 2), 16343, 31]-NRT-code) [i]OOA Folding
7Linear OOA(12867, 5470, F128, 3, 30) (dual of [(5470, 3), 16343, 31]-NRT-code) [i]
8Linear OOA(12867, 4102, F128, 4, 30) (dual of [(4102, 4), 16341, 31]-NRT-code) [i]
9Linear OOA(12867, 1094, F128, 30, 30) (dual of [(1094, 30), 32753, 31]-NRT-code) [i]OA Folding and Stacking