Information on Result #699879

Linear OA(12858, 16414, F128, 25) (dual of [16414, 16356, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,7]) based on
  1. linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(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(6468, 16414, S64, 25) [i]Discarding Parts of the Base for OAs
2Linear OOA(12858, 12374, F128, 2, 25) (dual of [(12374, 2), 24690, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12858, 12374, F128, 3, 25) (dual of [(12374, 3), 37064, 26]-NRT-code) [i]
4Linear OOA(12858, 12374, F128, 4, 25) (dual of [(12374, 4), 49438, 26]-NRT-code) [i]
5Digital (33, 58, 12374)-net over F128 [i]
6Linear OOA(12858, 8207, F128, 2, 25) (dual of [(8207, 2), 16356, 26]-NRT-code) [i]OOA Folding
7Linear OOA(12858, 5471, F128, 3, 25) (dual of [(5471, 3), 16355, 26]-NRT-code) [i]
8Linear OOA(12858, 4103, F128, 4, 25) (dual of [(4103, 4), 16354, 26]-NRT-code) [i]