Information on Result #686506

Linear OA(8112, 262165, F8, 21) (dual of [262165, 262053, 22]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
  1. linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(8112, 213817, F8, 2, 21) (dual of [(213817, 2), 427522, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8112, 213817, F8, 3, 21) (dual of [(213817, 3), 641339, 22]-NRT-code) [i]
3Digital (91, 112, 213817)-net over F8 [i]
4Linear OOA(8112, 131082, F8, 2, 21) (dual of [(131082, 2), 262052, 22]-NRT-code) [i]OOA Folding
5Linear OOA(8112, 87388, F8, 3, 21) (dual of [(87388, 3), 262052, 22]-NRT-code) [i]
6Linear OOA(8112, 26216, F8, 21, 21) (dual of [(26216, 21), 550424, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row