Information on Result #675739

Linear OA(3232, 3294, F3, 44) (dual of [3294, 3062, 45]-code), using construction X applied to Ce(43) ⊂ Ce(40) based on
  1. linear OA(3229, 3281, F3, 44) (dual of [3281, 3052, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(3217, 3281, F3, 41) (dual of [3281, 3064, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(3232, 1647, F3, 2, 44) (dual of [(1647, 2), 3062, 45]-NRT-code) [i]OOA Folding
2Linear OOA(3232, 1098, F3, 3, 44) (dual of [(1098, 3), 3062, 45]-NRT-code) [i]