Information on Result #698497

Linear OA(6424, 262155, F64, 8) (dual of [262155, 262131, 9]-code), using construction X applied to Ce(7) ⊂ Ce(4) based on
  1. linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  3. linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), 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 OA(848, 524310, F8, 8) (dual of [524310, 524262, 9]-code) [i]Trace Code
2Linear OOA(6424, 262155, F64, 2, 8) (dual of [(262155, 2), 524286, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6424, 262155, F64, 3, 8) (dual of [(262155, 3), 786441, 9]-NRT-code) [i]
4Digital (16, 24, 262155)-net over F64 [i]
5Linear OOA(6424, 131077, F64, 2, 8) (dual of [(131077, 2), 262130, 9]-NRT-code) [i]OOA Folding
6Linear OOA(6424, 87385, F64, 3, 8) (dual of [(87385, 3), 262131, 9]-NRT-code) [i]
7Linear OOA(6424, 65538, F64, 8, 8) (dual of [(65538, 8), 524280, 9]-NRT-code) [i]OA Folding and Stacking