Information on Result #700102

Linear OA(12843, 16410, F128, 18) (dual of [16410, 16367, 19]-code), using construction X applied to Ce(17) ⊂ Ce(8) based on
  1. 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]
  2. linear OA(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(6451, 16410, S64, 18) [i]Discarding Parts of the Base for OAs
2Linear OOA(12843, 16410, F128, 2, 18) (dual of [(16410, 2), 32777, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12843, 16410, F128, 3, 18) (dual of [(16410, 3), 49187, 19]-NRT-code) [i]
4Linear OOA(12843, 16410, F128, 4, 18) (dual of [(16410, 4), 65597, 19]-NRT-code) [i]
5Digital (25, 43, 16410)-net over F128 [i]
6Linear OOA(12843, 8205, F128, 2, 18) (dual of [(8205, 2), 16367, 19]-NRT-code) [i]OOA Folding
7Linear OOA(12843, 5470, F128, 3, 18) (dual of [(5470, 3), 16367, 19]-NRT-code) [i]
8Linear OOA(12843, 4102, F128, 4, 18) (dual of [(4102, 4), 16365, 19]-NRT-code) [i]