Information on Result #700106

Linear OA(12864, 16413, F128, 28) (dual of [16413, 16349, 29]-code), using construction X applied to Ce(27) ⊂ Ce(17) 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(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(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), 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(6475, 16413, S64, 28) [i]Discarding Parts of the Base for OAs
2Linear OOA(12864, 10591, F128, 2, 28) (dual of [(10591, 2), 21118, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12864, 10591, F128, 3, 28) (dual of [(10591, 3), 31709, 29]-NRT-code) [i]
4Linear OOA(12864, 10591, F128, 4, 28) (dual of [(10591, 4), 42300, 29]-NRT-code) [i]
5Digital (36, 64, 10591)-net over F128 [i]
6Linear OOA(12864, 8206, F128, 2, 28) (dual of [(8206, 2), 16348, 29]-NRT-code) [i]OOA Folding
7Linear OOA(12864, 5471, F128, 3, 28) (dual of [(5471, 3), 16349, 29]-NRT-code) [i]
8Linear OOA(12864, 4103, F128, 4, 28) (dual of [(4103, 4), 16348, 29]-NRT-code) [i]