Information on Result #737953

Linear OA(9106, 6581, F9, 29) (dual of [6581, 6475, 30]-code), using construction X applied to Ce(28) ⊂ Ce(23) 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(985, 6561, F9, 24) (dual of [6561, 6476, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(95, 20, F9, 4) (dual of [20, 15, 5]-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(9106, 6581, F9, 2, 29) (dual of [(6581, 2), 13056, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9106, 6581, F9, 3, 29) (dual of [(6581, 3), 19637, 30]-NRT-code) [i]
3Digital (77, 106, 6581)-net over F9 [i]
4Linear OOA(9106, 3290, F9, 2, 29) (dual of [(3290, 2), 6474, 30]-NRT-code) [i]OOA Folding