Information on Result #700092

Linear OA(12863, 16410, F128, 28) (dual of [16410, 16347, 29]-code), using construction X applied to Ce(27) ⊂ Ce(18) 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(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(6474, 16410, S64, 28) [i]Discarding Parts of the Base for OAs
2Linear OOA(12863, 8786, F128, 2, 28) (dual of [(8786, 2), 17509, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12863, 8786, F128, 3, 28) (dual of [(8786, 3), 26295, 29]-NRT-code) [i]
4Linear OOA(12863, 8786, F128, 4, 28) (dual of [(8786, 4), 35081, 29]-NRT-code) [i]
5Digital (35, 63, 8786)-net over F128 [i]
6Linear OOA(12863, 8205, F128, 2, 28) (dual of [(8205, 2), 16347, 29]-NRT-code) [i]OOA Folding
7Linear OOA(12863, 5470, F128, 3, 28) (dual of [(5470, 3), 16347, 29]-NRT-code) [i]
8Linear OOA(12863, 4102, F128, 4, 28) (dual of [(4102, 4), 16345, 29]-NRT-code) [i]
9Linear OOA(12863, 1172, F128, 28, 28) (dual of [(1172, 28), 32753, 29]-NRT-code) [i]OA Folding and Stacking