Information on Result #737954

Linear OA(9102, 6581, F9, 28) (dual of [6581, 6479, 29]-code), using construction X applied to Ce(27) ⊂ Ce(22) based on
  1. linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(981, 6561, F9, 23) (dual of [6561, 6480, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(9102, 6581, F9, 2, 28) (dual of [(6581, 2), 13060, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9102, 6581, F9, 3, 28) (dual of [(6581, 3), 19641, 29]-NRT-code) [i]
3Digital (74, 102, 6581)-net over F9 [i]
4Linear OOA(9102, 3290, F9, 2, 28) (dual of [(3290, 2), 6478, 29]-NRT-code) [i]OOA Folding