Information on Result #698521

Linear OA(6462, 262163, F64, 20) (dual of [262163, 262101, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
  1. linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(3275, 262163, S32, 20) [i]Discarding Parts of the Base for OAs
2Linear OOA(6462, 158384, F64, 2, 20) (dual of [(158384, 2), 316706, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6462, 158384, F64, 3, 20) (dual of [(158384, 3), 475090, 21]-NRT-code) [i]
4Digital (42, 62, 158384)-net over F64 [i]
5Linear OOA(6462, 131081, F64, 2, 20) (dual of [(131081, 2), 262100, 21]-NRT-code) [i]OOA Folding
6Linear OOA(6462, 87387, F64, 3, 20) (dual of [(87387, 3), 262099, 21]-NRT-code) [i]
7Linear OOA(6462, 26216, F64, 20, 20) (dual of [(26216, 20), 524258, 21]-NRT-code) [i]OA Folding and Stacking