Information on Result #674743

Linear OA(3194, 177186, F3, 26) (dual of [177186, 176992, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
  1. linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), 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(3195, 177187, F3, 26) (dual of [177187, 176992, 27]-code) [i]Code Embedding in Larger Space
2Linear OA(3196, 177188, F3, 26) (dual of [177188, 176992, 27]-code) [i]
3Linear OA(3197, 177189, F3, 26) (dual of [177189, 176992, 27]-code) [i]
4Linear OA(3198, 177190, F3, 26) (dual of [177190, 176992, 27]-code) [i]
5Linear OOA(3194, 88593, F3, 2, 26) (dual of [(88593, 2), 176992, 27]-NRT-code) [i]OOA Folding
6Linear OOA(3194, 59062, F3, 3, 26) (dual of [(59062, 3), 176992, 27]-NRT-code) [i]
7Linear OOA(3194, 44296, F3, 4, 26) (dual of [(44296, 4), 176990, 27]-NRT-code) [i]
8Linear OOA(3194, 35437, F3, 5, 26) (dual of [(35437, 5), 176991, 27]-NRT-code) [i]
9Linear OOA(3194, 13629, F3, 26, 26) (dual of [(13629, 26), 354160, 27]-NRT-code) [i]OA Folding and Stacking