Information on Result #699873

Linear OA(12840, 16408, F128, 17) (dual of [16408, 16368, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,4]) based on
  1. linear OA(12833, 16385, F128, 17) (dual of [16385, 16352, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(12817, 16385, F128, 9) (dual of [16385, 16368, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(6447, 16408, S64, 17) [i]Discarding Parts of the Base for OAs
2Linear OOA(12840, 15224, F128, 2, 17) (dual of [(15224, 2), 30408, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12840, 15224, F128, 3, 17) (dual of [(15224, 3), 45632, 18]-NRT-code) [i]
4Linear OOA(12840, 15224, F128, 4, 17) (dual of [(15224, 4), 60856, 18]-NRT-code) [i]
5Digital (23, 40, 15224)-net over F128 [i]
6Linear OOA(12840, 8204, F128, 2, 17) (dual of [(8204, 2), 16368, 18]-NRT-code) [i]OOA Folding
7Linear OOA(12840, 5469, F128, 3, 17) (dual of [(5469, 3), 16367, 18]-NRT-code) [i]
8Linear OOA(12840, 4102, F128, 4, 17) (dual of [(4102, 4), 16368, 18]-NRT-code) [i]