Information on Result #675479

Linear OA(3132, 6574, F3, 25) (dual of [6574, 6442, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
  1. linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(3132, 3287, F3, 2, 25) (dual of [(3287, 2), 6442, 26]-NRT-code) [i]OOA Folding
2Linear OOA(3132, 2191, F3, 3, 25) (dual of [(2191, 3), 6441, 26]-NRT-code) [i]