Information on Result #736947

Linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-code), using construction X applied to Ce(33) ⊂ Ce(25) based on
  1. linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3213, 11344, F3, 2, 33) (dual of [(11344, 2), 22475, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3213, 11344, F3, 3, 33) (dual of [(11344, 3), 33819, 34]-NRT-code) [i]
3Linear OOA(3213, 11344, F3, 4, 33) (dual of [(11344, 4), 45163, 34]-NRT-code) [i]
4Linear OOA(3213, 11344, F3, 5, 33) (dual of [(11344, 5), 56507, 34]-NRT-code) [i]
5Digital (180, 213, 11344)-net over F3 [i]
6Linear OOA(3213, 9868, F3, 2, 33) (dual of [(9868, 2), 19523, 34]-NRT-code) [i]OOA Folding
7Linear OOA(3213, 4934, F3, 4, 33) (dual of [(4934, 4), 19523, 34]-NRT-code) [i]
8Linear OOA(3213, 3947, F3, 5, 33) (dual of [(3947, 5), 19522, 34]-NRT-code) [i]