Information on Result #699872

Linear OA(12844, 16408, F128, 19) (dual of [16408, 16364, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,5]) based on
  1. linear OA(12837, 16385, F128, 19) (dual of [16385, 16348, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(12821, 16385, F128, 11) (dual of [16385, 16364, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(6452, 16408, S64, 19) [i]Discarding Parts of the Base for OAs
2Linear OOA(12844, 12075, F128, 2, 19) (dual of [(12075, 2), 24106, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12844, 12075, F128, 3, 19) (dual of [(12075, 3), 36181, 20]-NRT-code) [i]
4Linear OOA(12844, 12075, F128, 4, 19) (dual of [(12075, 4), 48256, 20]-NRT-code) [i]
5Digital (25, 44, 12075)-net over F128 [i]
6Linear OOA(12844, 8204, F128, 2, 19) (dual of [(8204, 2), 16364, 20]-NRT-code) [i]OOA Folding
7Linear OOA(12844, 5469, F128, 3, 19) (dual of [(5469, 3), 16363, 20]-NRT-code) [i]
8Linear OOA(12844, 4102, F128, 4, 19) (dual of [(4102, 4), 16364, 20]-NRT-code) [i]
9Linear OOA(12844, 1823, F128, 19, 19) (dual of [(1823, 19), 34593, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row