Information on Result #698523

Linear OA(6456, 262163, F64, 18) (dual of [262163, 262107, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
  1. linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3268, 262163, S32, 18) [i]Discarding Parts of the Base for OAs
2Linear OOA(6456, 174552, F64, 2, 18) (dual of [(174552, 2), 349048, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6456, 174552, F64, 3, 18) (dual of [(174552, 3), 523600, 19]-NRT-code) [i]
4Digital (38, 56, 174552)-net over F64 [i]
5Linear OOA(6456, 131081, F64, 2, 18) (dual of [(131081, 2), 262106, 19]-NRT-code) [i]OOA Folding
6Linear OOA(6456, 87387, F64, 3, 18) (dual of [(87387, 3), 262105, 19]-NRT-code) [i]
7Linear OOA(6456, 29129, F64, 18, 18) (dual of [(29129, 18), 524266, 19]-NRT-code) [i]OA Folding and Stacking