Information on Result #686511

Linear OA(882, 262165, F8, 15) (dual of [262165, 262083, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
  1. linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(83, 21, F8, 2) (dual of [21, 18, 3]-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 OOA(882, 262165, F8, 2, 15) (dual of [(262165, 2), 524248, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(882, 262165, F8, 3, 15) (dual of [(262165, 3), 786413, 16]-NRT-code) [i]
3Digital (67, 82, 262165)-net over F8 [i]
4Linear OOA(882, 131082, F8, 2, 15) (dual of [(131082, 2), 262082, 16]-NRT-code) [i]OOA Folding
5Linear OOA(882, 87388, F8, 3, 15) (dual of [(87388, 3), 262082, 16]-NRT-code) [i]
6Linear OOA(882, 37452, F8, 15, 15) (dual of [(37452, 15), 561698, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row