Information on Result #675884

Linear OA(3226, 2195, F3, 49) (dual of [2195, 1969, 50]-code), using construction X applied to Ce(48) ⊂ Ce(46) based on
  1. linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  2. linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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(3225, 2194, F3, 48) (dual of [2194, 1969, 49]-code) [i]Truncation
2Linear OOA(3226, 1724, F3, 2, 49) (dual of [(1724, 2), 3222, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3226, 1724, F3, 3, 49) (dual of [(1724, 3), 4946, 50]-NRT-code) [i]
4Linear OOA(3226, 1724, F3, 4, 49) (dual of [(1724, 4), 6670, 50]-NRT-code) [i]
5Linear OOA(3226, 1724, F3, 5, 49) (dual of [(1724, 5), 8394, 50]-NRT-code) [i]
6Digital (177, 226, 1724)-net over F3 [i]
7Linear OOA(3226, 1097, F3, 2, 49) (dual of [(1097, 2), 1968, 50]-NRT-code) [i]OOA Folding
8Linear OOA(3226, 731, F3, 3, 49) (dual of [(731, 3), 1967, 50]-NRT-code) [i]
9Linear OOA(3226, 548, F3, 4, 49) (dual of [(548, 4), 1966, 50]-NRT-code) [i]
10Linear OOA(3226, 439, F3, 5, 49) (dual of [(439, 5), 1969, 50]-NRT-code) [i]