Information on Result #675151

Linear OA(385, 19696, F3, 14) (dual of [19696, 19611, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
  1. linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(385, 9848, F3, 2, 14) (dual of [(9848, 2), 19611, 15]-NRT-code) [i]OOA Folding
2Linear OOA(385, 4924, F3, 4, 14) (dual of [(4924, 4), 19611, 15]-NRT-code) [i]
3Linear OOA(385, 3939, F3, 5, 14) (dual of [(3939, 5), 19610, 15]-NRT-code) [i]