Information on Result #698402

Linear OA(6486, 262176, F64, 27) (dual of [262176, 262090, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
  1. linear OA(6479, 262145, F64, 27) (dual of [262145, 262066, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(647, 31, F64, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,64)), 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(32104, 262176, S32, 27) [i]Discarding Parts of the Base for OAs
2Linear OOA(6486, 223498, F64, 2, 27) (dual of [(223498, 2), 446910, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6486, 223498, F64, 3, 27) (dual of [(223498, 3), 670408, 28]-NRT-code) [i]
4Digital (59, 86, 223498)-net over F64 [i]
5Linear OOA(6486, 131088, F64, 2, 27) (dual of [(131088, 2), 262090, 28]-NRT-code) [i]OOA Folding
6Linear OOA(6486, 87392, F64, 3, 27) (dual of [(87392, 3), 262090, 28]-NRT-code) [i]
7Linear OOA(6486, 20167, F64, 27, 27) (dual of [(20167, 27), 544423, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row