Information on Result #699870

Linear OA(12852, 16408, F128, 23) (dual of [16408, 16356, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,7]) based on
  1. linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  3. linear OA(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), 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(6461, 16408, S64, 23) [i]Discarding Parts of the Base for OAs
2Linear OOA(12852, 8948, F128, 2, 23) (dual of [(8948, 2), 17844, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12852, 8948, F128, 3, 23) (dual of [(8948, 3), 26792, 24]-NRT-code) [i]
4Linear OOA(12852, 8948, F128, 4, 23) (dual of [(8948, 4), 35740, 24]-NRT-code) [i]
5Digital (29, 52, 8948)-net over F128 [i]
6Linear OOA(12852, 8204, F128, 2, 23) (dual of [(8204, 2), 16356, 24]-NRT-code) [i]OOA Folding
7Linear OOA(12852, 5469, F128, 3, 23) (dual of [(5469, 3), 16355, 24]-NRT-code) [i]
8Linear OOA(12852, 4102, F128, 4, 23) (dual of [(4102, 4), 16356, 24]-NRT-code) [i]