Information on Result #698534

Linear OA(6475, 262167, F64, 24) (dual of [262167, 262092, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) based on
  1. linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. 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]
  3. linear OA(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), 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(3290, 262167, S32, 24) [i]Discarding Parts of the Base for OAs
2Linear OOA(6475, 170930, F64, 2, 24) (dual of [(170930, 2), 341785, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6475, 170930, F64, 3, 24) (dual of [(170930, 3), 512715, 25]-NRT-code) [i]
4Digital (51, 75, 170930)-net over F64 [i]
5Linear OOA(6475, 131083, F64, 2, 24) (dual of [(131083, 2), 262091, 25]-NRT-code) [i]OOA Folding
6Linear OOA(6475, 87389, F64, 3, 24) (dual of [(87389, 3), 262092, 25]-NRT-code) [i]
7Linear OOA(6475, 21847, F64, 24, 24) (dual of [(21847, 24), 524253, 25]-NRT-code) [i]OA Folding and Stacking