Information on Result #698532

Linear OA(6487, 262167, F64, 28) (dual of [262167, 262080, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
  1. linear OA(6482, 262144, F64, 28) (dual of [262144, 262062, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. 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]
  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(32105, 262167, S32, 28) [i]Discarding Parts of the Base for OAs
2Linear OOA(6487, 157836, F64, 2, 28) (dual of [(157836, 2), 315585, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6487, 157836, F64, 3, 28) (dual of [(157836, 3), 473421, 29]-NRT-code) [i]
4Digital (59, 87, 157836)-net over F64 [i]
5Linear OOA(6487, 131083, F64, 2, 28) (dual of [(131083, 2), 262079, 29]-NRT-code) [i]OOA Folding
6Linear OOA(6487, 87389, F64, 3, 28) (dual of [(87389, 3), 262080, 29]-NRT-code) [i]
7Linear OOA(6487, 18726, F64, 28, 28) (dual of [(18726, 28), 524241, 29]-NRT-code) [i]OA Folding and Stacking