Information on Result #699568

Linear OA(8174, 6584, F81, 34) (dual of [6584, 6510, 35]-code), using construction X applied to Ce(33) ⊂ Ce(25) based on
  1. linear OA(8167, 6561, F81, 34) (dual of [6561, 6494, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), 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(9148, 13168, F9, 34) (dual of [13168, 13020, 35]-code) [i]Trace Code
2Linear OOA(8174, 3595, F81, 2, 34) (dual of [(3595, 2), 7116, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8174, 3595, F81, 3, 34) (dual of [(3595, 3), 10711, 35]-NRT-code) [i]
4Linear OOA(8174, 3595, F81, 4, 34) (dual of [(3595, 4), 14306, 35]-NRT-code) [i]
5Digital (40, 74, 3595)-net over F81 [i]
6Linear OOA(8174, 3292, F81, 2, 34) (dual of [(3292, 2), 6510, 35]-NRT-code) [i]OOA Folding
7Linear OOA(8174, 2194, F81, 3, 34) (dual of [(2194, 3), 6508, 35]-NRT-code) [i]
8Linear OOA(8174, 1646, F81, 4, 34) (dual of [(1646, 4), 6510, 35]-NRT-code) [i]