Information on Result #675894

Linear OA(3170, 2195, F3, 37) (dual of [2195, 2025, 38]-code), using construction X applied to Ce(36) ⊂ Ce(34) based on
  1. linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-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(3169, 2194, F3, 36) (dual of [2194, 2025, 37]-code) [i]Truncation
2Linear OOA(3170, 1368, F3, 2, 37) (dual of [(1368, 2), 2566, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3170, 1368, F3, 3, 37) (dual of [(1368, 3), 3934, 38]-NRT-code) [i]
4Linear OOA(3170, 1368, F3, 4, 37) (dual of [(1368, 4), 5302, 38]-NRT-code) [i]
5Linear OOA(3170, 1368, F3, 5, 37) (dual of [(1368, 5), 6670, 38]-NRT-code) [i]
6Digital (133, 170, 1368)-net over F3 [i]
7Linear OOA(3170, 1097, F3, 2, 37) (dual of [(1097, 2), 2024, 38]-NRT-code) [i]OOA Folding
8Linear OOA(3170, 731, F3, 3, 37) (dual of [(731, 3), 2023, 38]-NRT-code) [i]
9Linear OOA(3170, 548, F3, 4, 37) (dual of [(548, 4), 2022, 38]-NRT-code) [i]
10Linear OOA(3170, 439, F3, 5, 37) (dual of [(439, 5), 2025, 38]-NRT-code) [i]