Information on Result #736958

Linear OA(3159, 19736, F3, 24) (dual of [19736, 19577, 25]-code), using construction X applied to Ce(24) ⊂ Ce(16) based on
  1. 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]
  2. linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3159, 12069, F3, 2, 24) (dual of [(12069, 2), 23979, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3159, 12069, F3, 3, 24) (dual of [(12069, 3), 36048, 25]-NRT-code) [i]
3Linear OOA(3159, 12069, F3, 4, 24) (dual of [(12069, 4), 48117, 25]-NRT-code) [i]
4Linear OOA(3159, 12069, F3, 5, 24) (dual of [(12069, 5), 60186, 25]-NRT-code) [i]
5Digital (135, 159, 12069)-net over F3 [i]
6Linear OOA(3159, 9868, F3, 2, 24) (dual of [(9868, 2), 19577, 25]-NRT-code) [i]OOA Folding
7Linear OOA(3159, 4934, F3, 4, 24) (dual of [(4934, 4), 19577, 25]-NRT-code) [i]
8Linear OOA(3159, 3947, F3, 5, 24) (dual of [(3947, 5), 19576, 25]-NRT-code) [i]