Information on Result #737027

Linear OA(3151, 6614, F3, 26) (dual of [6614, 6463, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(3151, 4680, F3, 2, 26) (dual of [(4680, 2), 9209, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3151, 4680, F3, 3, 26) (dual of [(4680, 3), 13889, 27]-NRT-code) [i]
3Linear OOA(3151, 4680, F3, 4, 26) (dual of [(4680, 4), 18569, 27]-NRT-code) [i]
4Linear OOA(3151, 4680, F3, 5, 26) (dual of [(4680, 5), 23249, 27]-NRT-code) [i]
5Digital (125, 151, 4680)-net over F3 [i]
6Linear OOA(3151, 3307, F3, 2, 26) (dual of [(3307, 2), 6463, 27]-NRT-code) [i]OOA Folding
7Linear OOA(3151, 2204, F3, 3, 26) (dual of [(2204, 3), 6461, 27]-NRT-code) [i]
8Linear OOA(3151, 1653, F3, 4, 26) (dual of [(1653, 4), 6461, 27]-NRT-code) [i]
9Linear OOA(3151, 1322, F3, 5, 26) (dual of [(1322, 5), 6459, 27]-NRT-code) [i]