Information on Result #676001

Linear OA(3232, 2214, F3, 49) (dual of [2214, 1982, 50]-code), using construction X applied to Ce(48) ⊂ Ce(43) 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(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  3. linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]

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(3232, 1989, F3, 2, 49) (dual of [(1989, 2), 3746, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3232, 1989, F3, 3, 49) (dual of [(1989, 3), 5735, 50]-NRT-code) [i]
3Linear OOA(3232, 1989, F3, 4, 49) (dual of [(1989, 4), 7724, 50]-NRT-code) [i]
4Linear OOA(3232, 1989, F3, 5, 49) (dual of [(1989, 5), 9713, 50]-NRT-code) [i]
5Digital (183, 232, 1989)-net over F3 [i]
6Linear OOA(3232, 1107, F3, 2, 49) (dual of [(1107, 2), 1982, 50]-NRT-code) [i]OOA Folding
7Linear OOA(3232, 738, F3, 3, 49) (dual of [(738, 3), 1982, 50]-NRT-code) [i]
8Linear OOA(3232, 553, F3, 4, 49) (dual of [(553, 4), 1980, 50]-NRT-code) [i]
9Linear OOA(3232, 442, F3, 5, 49) (dual of [(442, 5), 1978, 50]-NRT-code) [i]