Information on Result #686507

Linear OA(8106, 262165, F8, 20) (dual of [262165, 262059, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) based on
  1. 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]
  2. linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OA(8107, 262166, F8, 20) (dual of [262166, 262059, 21]-code) [i]Code Embedding in Larger Space
2Linear OOA(8106, 200002, F8, 2, 20) (dual of [(200002, 2), 399898, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8106, 200002, F8, 3, 20) (dual of [(200002, 3), 599900, 21]-NRT-code) [i]
4Digital (86, 106, 200002)-net over F8 [i]
5Linear OOA(8106, 131082, F8, 2, 20) (dual of [(131082, 2), 262058, 21]-NRT-code) [i]OOA Folding
6Linear OOA(8106, 87388, F8, 3, 20) (dual of [(87388, 3), 262058, 21]-NRT-code) [i]
7Linear OOA(8106, 26216, F8, 20, 20) (dual of [(26216, 20), 524214, 21]-NRT-code) [i]OA Folding and Stacking