Information on Result #675249

Linear OA(3250, 19763, F3, 38) (dual of [19763, 19513, 39]-code), using construction X applied to Ce(37) ⊂ Ce(27) based on
  1. linear OA(3226, 19683, F3, 38) (dual of [19683, 19457, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using
    • the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 10 [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(3250, 14215, F3, 2, 38) (dual of [(14215, 2), 28180, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3250, 14215, F3, 3, 38) (dual of [(14215, 3), 42395, 39]-NRT-code) [i]
3Linear OOA(3250, 14215, F3, 4, 38) (dual of [(14215, 4), 56610, 39]-NRT-code) [i]
4Linear OOA(3250, 14215, F3, 5, 38) (dual of [(14215, 5), 70825, 39]-NRT-code) [i]
5Digital (212, 250, 14215)-net over F3 [i]
6Linear OOA(3250, 9881, F3, 2, 38) (dual of [(9881, 2), 19512, 39]-NRT-code) [i]OOA Folding