Information on Result #689705

Linear OA(9103, 6571, F9, 29) (dual of [6571, 6468, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
  1. linear OA(9101, 6561, F9, 29) (dual of [6561, 6460, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(993, 6561, F9, 26) (dual of [6561, 6468, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), 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(9104, 6572, F9, 29) (dual of [6572, 6468, 30]-code) [i]Code Embedding in Larger Space
2Linear OOA(9103, 5483, F9, 2, 29) (dual of [(5483, 2), 10863, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(9103, 5483, F9, 3, 29) (dual of [(5483, 3), 16346, 30]-NRT-code) [i]
4Digital (74, 103, 5483)-net over F9 [i]
5Linear OOA(9103, 3285, F9, 2, 29) (dual of [(3285, 2), 6467, 30]-NRT-code) [i]OOA Folding
6Linear OOA(9103, 2190, F9, 3, 29) (dual of [(2190, 3), 6467, 30]-NRT-code) [i]