Information on Result #698388

Linear OA(6446, 262160, F64, 15) (dual of [262160, 262114, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
  1. linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  3. linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), 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(1669, 262160, S16, 15) [i]Discarding Parts of the Base for OAs
2OA(3256, 262160, S32, 15) [i]
3Linear OOA(6446, 160772, F64, 2, 15) (dual of [(160772, 2), 321498, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(6446, 160772, F64, 3, 15) (dual of [(160772, 3), 482270, 16]-NRT-code) [i]
5Digital (31, 46, 160772)-net over F64 [i]
6Linear OOA(6446, 131080, F64, 2, 15) (dual of [(131080, 2), 262114, 16]-NRT-code) [i]OOA Folding
7Linear OOA(6446, 87386, F64, 3, 15) (dual of [(87386, 3), 262112, 16]-NRT-code) [i]
8Linear OOA(6446, 37451, F64, 15, 15) (dual of [(37451, 15), 561719, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row