Information on Result #675234

Linear OA(3242, 19744, F3, 38) (dual of [19744, 19502, 39]-code), using construction X applied to Ce(37) ⊂ Ce(30) 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(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(316, 61, F3, 6) (dual of [61, 45, 7]-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(3242, 11128, F3, 2, 38) (dual of [(11128, 2), 22014, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3242, 11128, F3, 3, 38) (dual of [(11128, 3), 33142, 39]-NRT-code) [i]
3Linear OOA(3242, 11128, F3, 4, 38) (dual of [(11128, 4), 44270, 39]-NRT-code) [i]
4Linear OOA(3242, 11128, F3, 5, 38) (dual of [(11128, 5), 55398, 39]-NRT-code) [i]
5Digital (204, 242, 11128)-net over F3 [i]
6Linear OOA(3242, 9872, F3, 2, 38) (dual of [(9872, 2), 19502, 39]-NRT-code) [i]OOA Folding
7Linear OOA(3242, 4936, F3, 4, 38) (dual of [(4936, 4), 19502, 39]-NRT-code) [i]