Information on Result #699871

Linear OA(12848, 16408, F128, 21) (dual of [16408, 16360, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
  1. linear OA(12841, 16385, F128, 21) (dual of [16385, 16344, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(12825, 16385, F128, 13) (dual of [16385, 16360, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(6456, 16408, S64, 21) [i]Discarding Parts of the Base for OAs
2Linear OOA(12848, 10177, F128, 2, 21) (dual of [(10177, 2), 20306, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12848, 10177, F128, 3, 21) (dual of [(10177, 3), 30483, 22]-NRT-code) [i]
4Linear OOA(12848, 10177, F128, 4, 21) (dual of [(10177, 4), 40660, 22]-NRT-code) [i]
5Digital (27, 48, 10177)-net over F128 [i]
6Linear OOA(12848, 8204, F128, 2, 21) (dual of [(8204, 2), 16360, 22]-NRT-code) [i]OOA Folding
7Linear OOA(12848, 5469, F128, 3, 21) (dual of [(5469, 3), 16359, 22]-NRT-code) [i]
8Linear OOA(12848, 4102, F128, 4, 21) (dual of [(4102, 4), 16360, 22]-NRT-code) [i]