Information on Result #737026

Linear OA(3159, 6614, F3, 27) (dual of [6614, 6455, 28]-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(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, 5249, F3, 2, 27) (dual of [(5249, 2), 10339, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3159, 5249, F3, 3, 27) (dual of [(5249, 3), 15588, 28]-NRT-code) [i]
3Linear OOA(3159, 5249, F3, 4, 27) (dual of [(5249, 4), 20837, 28]-NRT-code) [i]
4Linear OOA(3159, 5249, F3, 5, 27) (dual of [(5249, 5), 26086, 28]-NRT-code) [i]
5Digital (132, 159, 5249)-net over F3 [i]
6Linear OOA(3159, 3307, F3, 2, 27) (dual of [(3307, 2), 6455, 28]-NRT-code) [i]OOA Folding
7Linear OOA(3159, 2204, F3, 3, 27) (dual of [(2204, 3), 6453, 28]-NRT-code) [i]
8Linear OOA(3159, 1653, F3, 4, 27) (dual of [(1653, 4), 6453, 28]-NRT-code) [i]
9Linear OOA(3159, 1322, F3, 5, 27) (dual of [(1322, 5), 6451, 28]-NRT-code) [i]