Information on Result #736940

Linear OA(3240, 19736, F3, 38) (dual of [19736, 19496, 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(314, 53, F3, 6) (dual of [53, 39, 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(3240, 10467, F3, 2, 38) (dual of [(10467, 2), 20694, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3240, 10467, F3, 3, 38) (dual of [(10467, 3), 31161, 39]-NRT-code) [i]
3Linear OOA(3240, 10467, F3, 4, 38) (dual of [(10467, 4), 41628, 39]-NRT-code) [i]
4Linear OOA(3240, 10467, F3, 5, 38) (dual of [(10467, 5), 52095, 39]-NRT-code) [i]
5Digital (202, 240, 10467)-net over F3 [i]
6Linear OOA(3240, 9868, F3, 2, 38) (dual of [(9868, 2), 19496, 39]-NRT-code) [i]OOA Folding
7Linear OOA(3240, 6578, F3, 3, 38) (dual of [(6578, 3), 19494, 39]-NRT-code) [i]
8Linear OOA(3240, 4934, F3, 4, 38) (dual of [(4934, 4), 19496, 39]-NRT-code) [i]
9Linear OOA(3240, 3947, F3, 5, 38) (dual of [(3947, 5), 19495, 39]-NRT-code) [i]