Information on Result #698495

Linear OA(6430, 262155, F64, 10) (dual of [262155, 262125, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
  1. linear OA(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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
1OA(1645, 262155, S16, 10) [i]Discarding Parts of the Base for OAs
2OA(3236, 262155, S32, 10) [i]
3Linear OOA(6430, 210739, F64, 2, 10) (dual of [(210739, 2), 421448, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(6430, 210739, F64, 3, 10) (dual of [(210739, 3), 632187, 11]-NRT-code) [i]
5Digital (20, 30, 210739)-net over F64 [i]
6Linear OOA(6430, 131077, F64, 2, 10) (dual of [(131077, 2), 262124, 11]-NRT-code) [i]OOA Folding
7Linear OOA(6430, 87385, F64, 3, 10) (dual of [(87385, 3), 262125, 11]-NRT-code) [i]
8Linear OOA(6430, 52431, F64, 10, 10) (dual of [(52431, 10), 524280, 11]-NRT-code) [i]OA Folding and Stacking