Information on Result #686544

Linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
  1. linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), 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
1Linear OA(8141, 262182, F8, 26) (dual of [262182, 262041, 27]-code) [i]Code Embedding in Larger Space
2Linear OA(8142, 262183, F8, 26) (dual of [262183, 262041, 27]-code) [i]
3Linear OA(8143, 262184, F8, 26) (dual of [262184, 262041, 27]-code) [i]
4Linear OOA(8140, 238032, F8, 2, 26) (dual of [(238032, 2), 475924, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(8140, 238032, F8, 3, 26) (dual of [(238032, 3), 713956, 27]-NRT-code) [i]
6Digital (114, 140, 238032)-net over F8 [i]
7Linear OA(8142, 262184, F8, 26) (dual of [262184, 262042, 27]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(8143, 262186, F8, 26) (dual of [262186, 262043, 27]-code) [i]
9Linear OOA(8140, 131090, F8, 2, 26) (dual of [(131090, 2), 262040, 27]-NRT-code) [i]OOA Folding
10Linear OOA(8140, 87393, F8, 3, 26) (dual of [(87393, 3), 262039, 27]-NRT-code) [i]