Information on Result #689816

Linear OA(9113, 6601, F9, 29) (dual of [6601, 6488, 30]-code), using construction X applied to Ce(28) ⊂ Ce(20) 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(973, 6561, F9, 21) (dual of [6561, 6488, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(9113, 3300, F9, 2, 29) (dual of [(3300, 2), 6487, 30]-NRT-code) [i]OOA Folding
2Linear OOA(9113, 2200, F9, 3, 29) (dual of [(2200, 3), 6487, 30]-NRT-code) [i]