Information on Result #737025

Linear OA(3161, 6617, F3, 28) (dual of [6617, 6456, 29]-code), using construction X applied to Ce(27) ⊂ Ce(19) based on
  1. linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(316, 56, F3, 7) (dual of [56, 40, 8]-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 OA(3160, 6616, F3, 27) (dual of [6616, 6456, 28]-code) [i]Truncation
2Linear OOA(3161, 4529, F3, 2, 28) (dual of [(4529, 2), 8897, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3161, 4529, F3, 3, 28) (dual of [(4529, 3), 13426, 29]-NRT-code) [i]
4Linear OOA(3161, 4529, F3, 4, 28) (dual of [(4529, 4), 17955, 29]-NRT-code) [i]
5Linear OOA(3161, 4529, F3, 5, 28) (dual of [(4529, 5), 22484, 29]-NRT-code) [i]
6Digital (133, 161, 4529)-net over F3 [i]
7Linear OOA(3161, 3308, F3, 2, 28) (dual of [(3308, 2), 6455, 29]-NRT-code) [i]OOA Folding
8Linear OOA(3161, 2205, F3, 3, 28) (dual of [(2205, 3), 6454, 29]-NRT-code) [i]
9Linear OOA(3161, 1654, F3, 4, 28) (dual of [(1654, 4), 6455, 29]-NRT-code) [i]
10Linear OOA(3161, 1323, F3, 5, 28) (dual of [(1323, 5), 6454, 29]-NRT-code) [i]