Information on Result #675527

Linear OA(3168, 6588, F3, 31) (dual of [6588, 6420, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
  1. linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. 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]
  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(3168, 3294, F3, 2, 31) (dual of [(3294, 2), 6420, 32]-NRT-code) [i]OOA Folding
2Linear OOA(3168, 2196, F3, 3, 31) (dual of [(2196, 3), 6420, 32]-NRT-code) [i]
3Linear OOA(3168, 1647, F3, 4, 31) (dual of [(1647, 4), 6420, 32]-NRT-code) [i]
4Linear OOA(3168, 1317, F3, 5, 31) (dual of [(1317, 5), 6417, 32]-NRT-code) [i]