Information on Result #698391

Linear OA(6428, 262160, F64, 9) (dual of [262160, 262132, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,2]) based on
  1. linear OA(6425, 262145, F64, 9) (dual of [262145, 262120, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OA(6413, 262145, F64, 5) (dual of [262145, 262132, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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
1Linear OOA(6428, 262160, F64, 2, 9) (dual of [(262160, 2), 524292, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(6428, 262160, F64, 3, 9) (dual of [(262160, 3), 786452, 10]-NRT-code) [i]
3Digital (19, 28, 262160)-net over F64 [i]
4Linear OOA(6428, 131080, F64, 2, 9) (dual of [(131080, 2), 262132, 10]-NRT-code) [i]OOA Folding
5Linear OOA(6428, 87386, F64, 3, 9) (dual of [(87386, 3), 262130, 10]-NRT-code) [i]
6Linear OOA(6428, 65539, F64, 9, 9) (dual of [(65539, 9), 589823, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row