Information on Result #736948

Linear OA(3204, 19736, F3, 32) (dual of [19736, 19532, 33]-code), using construction X applied to Ce(31) ⊂ Ce(24) based on
  1. linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(3204, 10164, F3, 2, 32) (dual of [(10164, 2), 20124, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3204, 10164, F3, 3, 32) (dual of [(10164, 3), 30288, 33]-NRT-code) [i]
3Linear OOA(3204, 10164, F3, 4, 32) (dual of [(10164, 4), 40452, 33]-NRT-code) [i]
4Linear OOA(3204, 10164, F3, 5, 32) (dual of [(10164, 5), 50616, 33]-NRT-code) [i]
5Digital (172, 204, 10164)-net over F3 [i]
6Linear OOA(3204, 9868, F3, 2, 32) (dual of [(9868, 2), 19532, 33]-NRT-code) [i]OOA Folding
7Linear OOA(3204, 6578, F3, 3, 32) (dual of [(6578, 3), 19530, 33]-NRT-code) [i]
8Linear OOA(3204, 4934, F3, 4, 32) (dual of [(4934, 4), 19532, 33]-NRT-code) [i]
9Linear OOA(3204, 3947, F3, 5, 32) (dual of [(3947, 5), 19531, 33]-NRT-code) [i]