Information on Result #736977

Linear OA(3243, 6600, F3, 44) (dual of [6600, 6357, 45]-code), using construction X applied to Ce(43) ⊂ Ce(37) based on
  1. linear OA(3233, 6561, F3, 44) (dual of [6561, 6328, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-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 OOA(3243, 3300, F3, 2, 44) (dual of [(3300, 2), 6357, 45]-NRT-code) [i]OOA Folding
2Linear OOA(3243, 2200, F3, 3, 44) (dual of [(2200, 3), 6357, 45]-NRT-code) [i]
3Linear OOA(3243, 1650, F3, 4, 44) (dual of [(1650, 4), 6357, 45]-NRT-code) [i]
4Linear OOA(3243, 1320, F3, 5, 44) (dual of [(1320, 5), 6357, 45]-NRT-code) [i]