Information on Result #689815

Linear OA(9117, 6601, F9, 30) (dual of [6601, 6484, 31]-code), using construction X applied to Ce(29) ⊂ Ce(21) based on
  1. linear OA(9105, 6561, F9, 30) (dual of [6561, 6456, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(977, 6561, F9, 22) (dual of [6561, 6484, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]

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(9117, 3300, F9, 2, 30) (dual of [(3300, 2), 6483, 31]-NRT-code) [i]OOA Folding
2Linear OOA(9117, 2200, F9, 3, 30) (dual of [(2200, 3), 6483, 31]-NRT-code) [i]