Information on Result #698519

Linear OA(6468, 262163, F64, 22) (dual of [262163, 262095, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), 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(3282, 262163, S32, 22) [i]Discarding Parts of the Base for OAs
2Linear OOA(6468, 148129, F64, 2, 22) (dual of [(148129, 2), 296190, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6468, 148129, F64, 3, 22) (dual of [(148129, 3), 444319, 23]-NRT-code) [i]
4Digital (46, 68, 148129)-net over F64 [i]
5Linear OOA(6468, 131081, F64, 2, 22) (dual of [(131081, 2), 262094, 23]-NRT-code) [i]OOA Folding
6Linear OOA(6468, 87387, F64, 3, 22) (dual of [(87387, 3), 262093, 23]-NRT-code) [i]
7Linear OOA(6468, 23833, F64, 22, 22) (dual of [(23833, 22), 524258, 23]-NRT-code) [i]OA Folding and Stacking