Information on Result #699877

Linear OA(12866, 16414, F128, 29) (dual of [16414, 16348, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,9]) based on
  1. linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  2. 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]
  3. linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), 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(6477, 16414, S64, 29) [i]Discarding Parts of the Base for OAs
2Linear OOA(12866, 10162, F128, 2, 29) (dual of [(10162, 2), 20258, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12866, 10162, F128, 3, 29) (dual of [(10162, 3), 30420, 30]-NRT-code) [i]
4Linear OOA(12866, 10162, F128, 4, 29) (dual of [(10162, 4), 40582, 30]-NRT-code) [i]
5Digital (37, 66, 10162)-net over F128 [i]
6Linear OOA(12866, 8207, F128, 2, 29) (dual of [(8207, 2), 16348, 30]-NRT-code) [i]OOA Folding
7Linear OOA(12866, 5471, F128, 3, 29) (dual of [(5471, 3), 16347, 30]-NRT-code) [i]
8Linear OOA(12866, 4103, F128, 4, 29) (dual of [(4103, 4), 16346, 30]-NRT-code) [i]