Information on Result #698394

Linear OA(6478, 262168, F64, 25) (dual of [262168, 262090, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), 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(3294, 262168, S32, 25) [i]Discarding Parts of the Base for OAs
2Linear OOA(6478, 166672, F64, 2, 25) (dual of [(166672, 2), 333266, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6478, 166672, F64, 3, 25) (dual of [(166672, 3), 499938, 26]-NRT-code) [i]
4Digital (53, 78, 166672)-net over F64 [i]
5Linear OOA(6478, 131084, F64, 2, 25) (dual of [(131084, 2), 262090, 26]-NRT-code) [i]OOA Folding
6Linear OOA(6478, 87389, F64, 3, 25) (dual of [(87389, 3), 262089, 26]-NRT-code) [i]
7Linear OOA(6478, 21847, F64, 25, 25) (dual of [(21847, 25), 546097, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row